Friday, November 15, 2019
Free Billy Budd Essays: Innocence in Billy Budd :: Billy Budd Essays
Innocence in Billy Budd There is much to be said about innocence. If one is with innocence than one can do no wrong. But that is not all to be said. Innocence is not always a good thing. It could make one naive or blind to certain evils. Like in the case of Billy Budd. Billy was innocent from evil and therefore could not see the evil of John Claggart approaching him, out to destroy him. It is known Billy's innocence was his down fall by hiding the true evil from his eyes. But why was John Claggart out to destroy Billy?. There are several reasons why John Claggart attempts to destroy Billy Budd. John Claggart wants to destroy Billy because he is extremely wary of Billy's intentions. He has come to believe that Billy is planning a mutiny and wants to take over the ship. Claggart reports this to captain Vere saying," During today's chase and possible encounter I had seen enough to convince him that at least one sailor aboard was dangerous." Meaning that he felt Billy was against them. Claggart felt that Billy's big plan was to get in favor of all the men on the ship and then turn them against the captain. Captain Vere responds by having Billy and Claggart meet in private where Claggart can openly accuse Billy of this crime. Fortunately, Claggarts attempt to destroy Billy for mutiny fails because he is struck down by Billy in one blow, ending the matter, but opening a m uch more serious one. Claggart is also seen as attempting to destroy Billy due to his evil nature in general. Nothing depicts Claggart's evil nature better than the way he looks. His cleanly chiseled chin and cunning violet eyes that can cut lesser sailors with an evil glare. His pale yellow skin and jet black curly hair; they all contrast his character. He is out to destroy Billy because of the constant struggle of good and evil. Billy is innocent and cannot comprehend evil therefore making him good. People calling Billy "baby budd, and handsome sailor" just seem to contrast the good in him even more. Claggart was born evil and therefore is evil. Claggart would naturally be out to destroy Billy because he is what he is against. Just good vs. evil in a battle for control. That is why Claggart is naturally out to bring the downfall of Billy Budd.
Tuesday, November 12, 2019
retail staff at the Tower of London
DecisionThe Southern Cross of our undertaking was developing a new inducements program for the retail staff at the Tower of London, to hike grosss made from the gross revenues of guidebooks, Gift Aid and of ranks to HRP. While the gross revenues and retail staff were highly satisfied with the operation of the current fiscal inducements program, it had come to the notice of the Human Resources section that the program was non agreeable to the brotherhoods ( which the staff members were members of ) . Another ground for presenting a new program, was to hike figures on gross revenues ââ¬â as the Tower of London direction believed that grosss in gross revenues could be higher than what was presently being achieved. The initial procedure developed by us was simple ââ¬â we started by run intoing with the HR Manager at the Tower and understanding his vision and the end product that he expected from us. His initial desire was for us to run into with other HR Directors in establishments similar to that of HRP ââ¬â galleries, museum and the similar ; to derive a position from them on what sort of inducements were used in their organisations. Surprisingly, none of the other organisations had similar programs in topographic point ââ¬â which left us to introduce and come up with a program that was alone in nature. The first measure in planing this inducement program ââ¬â would be to place what motivates persons to execute at the Tower. Bing a sales-oriented squad, we clearly had to concentrate on doing the inducements attractive plenty to actuate employees into executing good above the. Therefore we began with speaking to employees at the Tower of London and acquiring their point of position on the changing of incentive programs. To get down with, most of the junior retail staff was really satisfied with the current inducement program that was in topographic point, except with the operation of the strategy ââ¬â they complained about holds in having their inducements from HR. This aside, most staff were adamantly against any sort of alteration in this inducements system. The brotherhood representative in the Tower of London, who besides happened to be an admittances director, presented us with her positions on what the inducements programs should be like. From the point of the position of the brotherhood, she did hold that the current construction was non in maintaining with the Union ââ¬Ës positions on inducements. Given this, the director is besides one of the senior directors in-charge of the retailing staff ââ¬â and was highly satisfied with the current system, and believed that it was working really good for the staff. Therefore, her solution to this was to was non to talk excessively much of the program at the Union meetings ââ¬â non desiring the Union to raise concerns with the Tower of London direction about the nature of inducements that were provided. The position of the above mentioned director was besides shared by other senior directors at the Tower. They all believed that the system was all right and were non interested in conveying any drastic alterations to the wagess processes at the current minute, unless perfectly necessary. A consequent survey of the responses of all these stakeholders was so undertaken to uncover what formed the footing for our survey. We picked up on three cardinal issues upon which our solutions for a new program were based ââ¬â that the staff decidedly wanted fiscal inducements and non non-financial inducements, that the supervisors needed to acquire some signifier of inducements and that the group construction could be used to a greater advantage to actuate persons. It is best to do a pick between programs instead than show merely one program and do determinations based on that. That was what prompted our determination to plan three inducement programs, all really different from each other ââ¬â one based strictly on fiscal inducements, another on non-financial inducements, and eventually the 3rd one being a program which amalgamates both fiscal and non-financial inducements. To get down with, one of the obvious options was to go on with a program similar to that which the Tower of London had been following boulder clay now. The inducement program used over the last few old ages in the Tower was strictly fiscal in nature. The program included gross revenues marks for single staff members which were to be achieved in an unspecified clip period. On accomplishment of marks, staff members were awarded gift verifiers to a shop of their pick for a value of GBP 50. In line with this, the other sorts of fiscal inducements that could be offered are: a hard currency inducement, gift verifiers or even paid vacations. Keeping the Tower of London in head ââ¬â this strategy is much better to run on for persons instead than on groups ââ¬â it might turn out to be to expensive otherwise. Traveling on, we considered non-financial inducements a feasible option every bit good. Our suggestions for non-financial inducements can be more originative and ranged from presenting staff to repasts with the senior direction, holding bonus holiday hours to endow certifications, acknowledgment amongst equals and boxes of cocoas. The advantages of holding such a system are really evidently nest eggs for the company ââ¬â these options are decidedly much cheaper and so holding a fiscal inducement strategy. These strategies are besides easier to run for groups. Finally, we strove to make a balance between the above mentioned programs ââ¬â which would, most significantly satisfy all interest holders concerned. To understand and categorise the demands of persons and to place what motivates them, we used Maslow ââ¬Ës Hierarchy of Needs. Maslow had said that one time the basic physiological demands have been fulfilled, persons move onto other demands which need to be fulfilled such as the demand for self-actualization, safety demands and esteem demands. Emphasis was besides put on group working and the virtues we could pull from it in planing the intercrossed inducement program. Possibly one of the restrictions of working with groups within the gross revenues squads at the Tower of London is that within the gross revenues squads at the Tower of London is that the squads are all disproportionately sized, and to further any sort of competitory spirit would intend that the squads should hold equal Numberss. One of the ways of screening through this issue could intend proportionally spliting group marks to counterbalance for unequal Numberss. Another ground for concentrating so strongly on groups in this instance was because we saw this as an ideal state of affairs to implement non-financial inducements for employees ââ¬â as these inducements would be much more valid in the context of groups instead than for persons. Finally, in footings of fulfilling all the stakeholders in the inducements plan ââ¬â it became obvious to us that the 3rd program ââ¬â the merger of fiscal and non-financial inducements was ideal. The program involves puting single gross revenues marks for the members of the retails staff ââ¬â and giving the work groups cumulative marks, over and above that, which will be rewarded by non-financial inducements. The program while all encompassing, does show a few logistical job, the chief one being disposal for Human Resources. Motivation has therefore played a really critical function in the pick of concluding recommendation for the inducement program that we made for the Tower of London to utilize. We used the constructs of intrinsic and extrinsic motive extensively to specify persons would respond to different sorts of inducements and finally what would animate optimum public presentation from employees in the given scene at the Tower. While questioning employees, another concern that had been raised was that they were non being efficaciously communicated with when incentive programs were formulated, when any kind of alterations were being made, and when faced with holds in the wagess procedure ( inducements verifiers were about 3 months behind agenda ) . We believe that for our inducement program to be successful, free-flowing channels of communicating are necessary within the Tower of London. To accomplish this, we enclosed a bill of exchange of a communicating program ââ¬â basically meant for better communicating between the senior direction at the Tower of London and the junior retail and gross revenues staff. Methodolgy ââ¬â pros and cons
Sunday, November 10, 2019
Cyber Bullying Essay
Walking through the school door, she feels the sweat dripping down the side of her cheeks. Her stomach flips and flops, and her hands have an obvious tremble. The slamming lockers and running footsteps are enough to make her eyes swell with tears. The snickers behind her are all too familiar, but she is not prepared for the shove to the back and degrading names that follow. In a split second, her mind is made up. She turns around, heads out the door, and doesnââ¬â¢t look back. The computer, her cell phone, and now school. The cyber-bullies have stepped out of the screen and into face-to-face contact. With this new kind of bully on the rise and ruthless, is she the schoolââ¬â¢s responsibility? Schools should be held responsible for cyber bullying because the crime extends from the computer to the school setting. Studies indicate that cyber-bullying incidents have quadrupled in past five years (Ross). Cyber-bullying has become a huge issue recently. Every time you turn on the news there is another bullying, or a suicide related to bullying, incident being reported. Love is louderâ⬠has been a common phrase among celebrities and influential figures lately. They are trying to send out a message to their followers saying that bullying is not right and should not be tolerated. The expansion of communication technologies is widening the way bullyââ¬â¢s can torture their victims. The fact of the matter is, technology is not going anywhere, so we need to figure out a way to put an end to cyber-bullies. Cyber-bullying is becoming a major problem and we all need to do our parts in figuring out what can be done to stop cyber-bullies in their tracks. Cyber-bullies will continue to be a threat to todayââ¬â¢s youth until we take preventative measures against them. Before putting a stop to cyber-bullying we must understand why and how a cyber-bully works. After researching and analyzing informative articles on the topic, this research paper aims to inform and answer questions such as: what a cyber-bully is, how they work, whom they target, and how to stop them. By understanding how a cyber-bully works we will be able to better protect youth populations as technology grows. Approximately half of U. S. students are impacted by traditional bullying each school day (Ross). Cyber-bullying is technology powered and as technology expands it is getting harder and harder to see and prevent bullying from happening. Bullying over the Internet makes it easy for the tormenter to get away with their destructive behavior without any consequences. The article, ââ¬Å"What is Cyberbullying: Bullying Comes Homeâ⬠states, ââ¬Å"Bullying is not new but thanks to the Internet teens are now being bullied at home. Online harassment is a serious problemâ⬠(Hardcaslte). Although the Internet has opened many doors to new opportunities, it has unfortunately taken bullying to another level. As the article, ââ¬Å"Cyber Bullying Factsâ⬠states, ââ¬Å"as the number of households with Internet access approaches saturation and cell phone ownership expands to the 100 million mark, so do the ways kids bully each otherâ⬠(Ross). Anything sent out into cyberspace is very difficult, sometimes impossible, to remove. Therefore, being cyber-bullied can sometimes be much more severe than traditional bullying. Ann Frisen in the article, ââ¬Å"Cyber-bullying: A Growing Problemâ⬠states, ââ¬Å"This type of bullying can be more serious than conventional bullying. At least with conventional bullying the victim is left alone on evenings and weekendsâ⬠(ScienceDaily). What exactly is ââ¬Ëcyber-bullingââ¬â¢? The author of the article, ââ¬Å"What is Cyberbullying: Bullying Comes Homeâ⬠explains it as, ââ¬Å"any harassment that occurs via the Internetâ⬠(Hardcastle). Cyber-bulling messages can be communicated through text, e-mails, instant messaging, web pages, blogs, chat rooms, or any other information communication technologies. For example, Michiganââ¬â¢s assistant attorney general, who is a grown adult, has been harassing the University of Michiganââ¬â¢s openly gay student body president. Andrew Shirvell, assistant Michigan attorney general, created a blog in April of 2010 targeting Chris Armstrong, University of Michiganââ¬â¢s student body president. On this blog he has posted many rude, untrue, and unnecessary comments towards Chris Armstrong, along with distorted pictures. According to the article, ââ¬Å"Assistant Michigan AG targets openly gay college studentâ⬠the author states, ââ¬Å"Shirvell has published blog posts that accuse Armstrong of engaging in ââ¬Ëflagrant sexual promiscuityââ¬â¢ with another male member of the student government; sexually seducing and influencing ââ¬Ëa previously conservative male studentââ¬â¢ so much so that the student, according to Shirvell, ââ¬Ëmorphed into a proponent of the radical homosexual agendaââ¬â¢Ã¢â¬ (Steward). Mr. Shirvell is clearly a first-hand example of a cyber-bully and this article goes to show that itââ¬â¢s not just kids bullying each other in school anymore; itââ¬â¢s much bigger than that. There have been at least three teen suicides in September after experiencing homophobic cyber-bullying. Who are the main victims targeted by cyber-bullies? According to the article, ââ¬Å"Cyber-bullying Factsâ⬠Middle school and High school girls are twice as likely as boys to display cyber-bullying behaviors in the form of email, text, and chat, and only 20% of cyber-bullying victims tell their parents about the incident (Ross). Cyber-bullies target students, coworkers, neighbors, and even friends. Lately, there have been many reports of suicides related to bullying. For example, the recent death of Tyler Clementi, a freshman at Rutgers University, is an extreme case of cyber-bullying. The article, ââ¬Å"Rutgers student death: Has Digital Age made students callousâ⬠informs, ââ¬Å"Mr. Clementi killed himself on September 22nd, 2010. According to prosecutors, a few days earlier his roommate, Dharun Ravi, and another student, Molley Wei, used a Web cam to secretly transmit images of a sexual encounter between Clementi and another man. They intended to do so again on September 21â⬠(Khadaroo). With cyber-bullying a bully can pick on people with less risk of being caught. People who you would not see bullying someone in school donââ¬â¢t have a problem using the Internet to bully their victims because you canââ¬â¢t see their initial reaction. Bullying cannot only hurt the victim emotionally it can also cause them to have frequent headaches, indigestion and vomiting, loss of sleep, loss of appetite, paranoia, and suicide. In Tyler Clementiââ¬â¢s case he was so overwhelmed by what had been done to him that he jumped off of the George-Washington Bridge. It is important for college campuses to promote tolerance for differences, including homosexuality. From the article, ââ¬Å"Rutgers student death: Has Digital Age made students callousâ⬠the author states, ââ¬Å"We are tempted to think that social-media technology drove the behavior, but as a truly ethical matter, the behavior has to be and should be considered human-driven, not technology drivenâ⬠(Foulkrod). Harrisburg University of Science and Technology in Pennsylvania recently blocked the use of social media for a week to prompt discussions about its role in everyday life. Nobody wants to see this happen again; therefore, we need to come up with a solution to the problem. Some observers of todayââ¬â¢s youth and media culture believe that todayââ¬â¢s media environment could be desensitizing young people to the hurtful effects of their actions. What can be done to prevent cyber-bullying? Parents can start by talking specifically about yber-bullying and explain that is harmful and unacceptable behavior. Talk regularly with your child about on-line activities he or she is involved in, keep your home computer in easily viewable places, such as a family room or kitchen, and consider installing a filtering or blocking system (Ross). Also, you can ââ¬Å"outline your expectations for responsible online behavior and clearly explain the consequences for inappropriate behaviorâ⬠(Ross). The most important thing that can be done to stop a cyber-bully harassing you is to just not respond to the bully. Do not play into the bullyââ¬â¢s games. Ignore the bully and tell a parent or teacher. While ignoring the bullying make sure to save all of the evidence so that if police need to be involved you will have it ready. In the article, ââ¬Å"What is Cyberbullying: Bullying Comes Homeâ⬠states, ââ¬Å"Repeated or excessive harassment via email, forums or chat rooms is harassment and should involve the police. Threats of violence should also be reported to the police. Try to save all messages as evidenceâ⬠(Hardcastle). Treat a cyber-bully like you would any other bully and they will lose their power. Another important way to prevent cyber-bullying attacks is if you see something going on donââ¬â¢t just be a bystander and let it happen, report it before anyone gets hurt. In conclusion, with the expansion of the Internet and social networking technologies cyber-bullying is becoming more common and more severe. The information presented in this research paper should give people a better understanding of what a cyber-bully is, how harmful they can really be, and how to prevent cyber-bullying from happening. This paper can be used to help victims realize they are not alone and should not give into a bullyââ¬â¢s dangerous behaviors. This research paper is to inform society about what has been going on lately and how unacceptable and dangerous it is. Kids are killing themselves over photos, web posts, and videos posted by bullies using the Internet. Cyber-bullying is technology powered and will only get worse as technology becomes more widespread. Hopefully, this paper will help to inform todayââ¬â¢s youth and parents. If you see any kind of bullying happening in front of you, stop it if possible, and then report it. Conclusion Cyberbullying is a growing issue in schools. Students have been in fights, brought guns to school, and even committed suicide because of being cyberbullied. This is an issue which is a growing problem and must be addressed. It is serious. By helping students research the issues around cyberbullying, it raises awareness for both students and staff. A WebQuest like this can make a real difference in school climate and student relations. Take a stand against cyberbullying with your classmates. Students will listen to other students more quickly than they will listen to an adult.
Friday, November 8, 2019
Triangles and Polygons on SAT Math Strategies and Practice Questions for Geometry
Triangles and Polygons on SAT Math Strategies and Practice Questions for Geometry SAT / ACT Prep Online Guides and Tips 25 to 30% of the SAT math section will involve geometry, and the majority of those questions will deal with polygons in some form or another. Polygons come in many shapes and sizes and you will have to know your way around them with confidence in order to ace those SAT questions on test day. Luckily, despite their variety, polygons are often less complex than they look, and a few simple rules and strategies will have you breezing through those geometry questions in no time. This will be your complete guide to SAT polygons- the rules and formulas for various polygons, the kinds of questions youââ¬â¢ll be asked about them, and the best approach for solving these types of questions. What is a Polygon? Before we talk about polygon formulas, letââ¬â¢s look at what exactly a polygon is. A polygon is any flat, enclosed shape that is made up of straight lines. To be ââ¬Å"enclosedâ⬠means that the lines must all connect, and no side of the polygon can be curved. Polygons NOT Polygons Polygons come in two broad categories- regular and irregular. A regular polygon has all equal sides and all equal angles, while irregular polygons do not. Regular Polygons Irregular Polygons (Note: most all of the polygons on the SAT that are made up of five sides or more will be regular polygons, but always double-check this! You will be told in the question whether the shape is "regular" or "irregular.") The different types of polygons are named after their number of sides and angles. A triangle is made of three sides and three angles (ââ¬Å"triâ⬠meaning three), a quadrilateral is made of four sides (ââ¬Å"quadâ⬠meaning four), a pentagon is made of five sides (ââ¬Å"pentaâ⬠meaning five), and so on. Most of the polygons youââ¬â¢ll see on the SAT (though not all) will either be triangles or some sort of quadrilateral. Triangles in all their forms are covered in our complete guide to SAT triangles, so letââ¬â¢s look at the various types of quadrilaterals youââ¬â¢ll see on the test. With polygons, you may notice that many definitions will fit inside other definitions. Quadrilaterals There are many different types of quadrilaterals, most of which are subcategories of one another. Parallelogram A parallelogram is a quadrilateral in which each set of opposite sides is both parallel and congruent (equal) with one another. The length may be different than the width, but both widths will be equal and both lengths will be equal. Parallelograms are peculiar in that their opposite angles will be equal and their adjacent angles will be supplementary (meaning any two adjacent angles will add up to 180 degrees). Rectangle A rectangle is a special kind of parallelogram in which each angle is 90 degrees. The rectangleââ¬â¢s length and width can either be equal or different from one another. Square If a rectangle has an equal length and width, it is called a square. This means that a square is a type of rectangle (which in turn is a type of parallelogram), but NOT all rectangles are squares. Rhombus A rhombus is a type of parallelogram in which all four sides are equal and the angles can be any measure (so long as their adjacents add up to 180 degrees and their opposite angles are equal). Just as a square is a type of rectangle, but not all rectangles are squares, a rhombus is a type of parallelogram (but not all parallelograms are rhombuses). Trapezoid A trapezoid is a quadrilateral that has only one set of parallel sides. The other two sides are non-parallel. Kite A kite is a quadrilateral that has two pairs of equal sides that meet one another. And here come the formulas- mwahaha! Polygon Formulas Though there are many different types of polygons, their rules and formulas build off of a few simple basic ideas. Letââ¬â¢s go through the list. Area Formulas Most polygon questions on the SAT will ask you to find the area or the perimeter of a figure. These will be the most important area formulas for you to remember on the test. Area of a Triangle $$(1/2)bh$$ The area of a triangle will always be half the amount of the base times the height. In a right triangle, the height will be equal to one of the legs. In any other type of triangle, you must drop down your own height, perpendicular from the vertex of the triangle to the base. Area of a Square $$l^2 \or {lw}$$ Because each side of a square is equal, you can find the area by either multiplying the length times the width or simply by squaring one of the sides. Area of a Rectangle $$lw$$ For any rectangle that is not a square, you must always multiply the base times the height to find the area. Area of a Parallelogram $$bh$$ Finding the area of a parallelogram is exactly the same as finding the area of a rectangle. Because a parallelogram may slant to the side, we say we must use its base and its height (instead of its length and width), but the principle is the same. You can see why the two actions are equal if you were to transform your parallelogram into a rectangle by dropping down straight heights and shifting the base. Area of a Trapezoid $$[(l_1+l_2)/2]h$$ In order to find the area of a trapezoid, you must find the average of the two parallel bases and multiply this by the height of the trapezoid. Now let's look at an example: In the figure, WXYZ is a rectangle with $\ov{WA} = \ov{BZ} = 4$. The area of the shaded region is 32. What is the length of $\ov{XY}$? [Note: figure not to scale] A. 6B. 8C. 12D. 16E. 20 First, let us fill in our given information. Our shaded figure is a trapezoid, so let us use the formula for finding the area of a trapezoid. area $=[(l_1+l_2)/2]h$ Now if we call the longest base q, the shortest base will be $qâËâ4âËâ4$, or $qâËâ8$. (Why? Because the shortest leg is equal to the longest leg minus our two given lengths of 4). This means we can now plug in our values for the leg lengths. In addition, we are also given a height and an area, so we can plug all of our values into the formula in order to find the length of our longest side, q. $32=[(q+(qâËâ8))/2]2$ $32=(2q+2qâËâ16)/2$ $64=4qâËâ16$ $80=4q$ $20=q$ The length of $\ov{XY}$ (which we designated $q$) is 20. Our final answer is E, 20. In general, the best way to find the area of different kinds of polygons is to transform the polygon into smaller and more manageable shapes. This will also help you if you forget your formulas come test day. For example, if you forget the formula for the area of a trapezoid, turn your trapezoid into a rectangle and two triangles and find the area for each. Let us look to how to solve the above problem using this method instead. We are told that the area of the trapezoid is 32. We also know that we can find the area of a triangle by using the formula ${1/2}bh$. So let us find the areas for both our triangles. ${1/2}bh$ ${1/2}(4)(2)$ ${1/2}8$ $4$ Each triangle is worth 8, so together, both triangles will be: $4+4$ $8$ Now if we add the area of our triangles to our given area of the trapezoid, we can see that the area of our full rectangle is: $32+8$ $40$ Finally, we know that we find the area of a rectangle by multiplying the length times the width. We have a given width of 2, so the length will be: $40=lw$ $40=2l$ 20=l The length of the rectangle (line $\ov{XY}$) will be 20. Again, our final answer is E, 20. Always remember that there are many different ways to find what you need, so donââ¬â¢t be afraid to use your shortcuts! Whichever solving path you choose depends on how you like to work best. Angle Formulas Whether your polygon is regular or irregular, the sum of its interior degrees will always follow the rules of that particular polygon. Every polygon has a different degree sum, but this sum will be consistent, no matter how irregular the polygon. For example, the interior angles of a triangle will always equal 180 degrees (to see more on this, be sure to check out our guide to SAT triangles), whether the triangle is equilateral (a regular polygon), isosceles, acute, or obtuse. All of these triangles will have a total interior degree measure of 180 degrees. So by that same notion, the interior angles of a quadrilateral- whether kite, square, trapezoid, or other- will always add up to be 360 degrees. Why? Because a quadrilateral is made up of two triangles. For example: One interior angle of a parallelogram is 65 degrees. If the remaining angles have measures of $a$, $b$ and $c$, what is the value of $a+b+c$? All quadrilaterals have an interior degree sum of 360, so: $a+b+c+65=360$ $a+b+c=295$ The sum of $\bi a, \bi b$, and $\bi c$ is 295. Interior Angle Sum You will always be able to find the sum of a polygonââ¬â¢s interior angles in one of two ways- by memorizing the interior angle formula, or by dividing your polygon into a series of triangles. Method 1: Interior Angle Formula $$(nâËâ2)180$$ If you have an $n$ number of sides in your polygon, you can always find the interior degree sum by the formula $(nâËâ2)$ times 180 degrees. If you picture starting from one angle and drawing connecting lines to every other angle to make triangles, you can see why this formula has an $nâËâ2$. The reason being that you cannot make a triangle by using the immediate two connecting sides that make up the angle- each would simply be a straight line. To see this in action, let us look at our second method. Method 2: Dividing Your Polygon Into Triangles The reason the above formula works is because you are essentially dividing your polygon into a series of triangles. Because a triangle is always 180 degrees, you can multiply the number of triangles by 180 to find the interior degree sum of your polygon, whether your polygon is regular or irregular. Individual Interior Angles If your polygon is regular, you will also be able to find the individual degree measure of each interior angle by dividing the degree sum by the number of angles. (Note: $n$ can be used for both the number of sides and the number of angles; the number of sides and angles in a polygon will always be equal.) $${(nâËâ2)180}/n$$ Again, you can choose to either use the formula or the triangle dividing method by dividing your interior sum by the number of angles. Angles, angler fish...same thing, right? Side Formulas As we saw earlier, a regular polygon will have all equal side lengths. And if your polygon is regular, you can find the number of sides by using the reverse of the formula for finding angle measures. A regular polygon with n sides has equal angles of 120 degrees. How many sides does the figure have? 3 4 5 6 7 For this question, it will be quickest for us to use our answers and work backwards in order to find the number of sides in our polygon. (For more on how to use the plugging in answers technique, check out our guide to plugging in answers). Let us start at the middle with answer choice C. We know from our angle formula (or by making triangles out of our polygons) that a five sided figure will have: $(nâËâ2)180$ $(5âËâ2)180$ $(3)180$ $540$ degrees. Or again, you can always find your degree sum by making triangles out of your polygon. This way you will still end up with $(3)180=540$ degrees. Now, we also know that this is a regular polygon, so each interior angle will be this same. This means we can find the individual angles by dividing the total by the number of sides/angles. So let us find the individual degree measures by dividing that sum by the number of angles. $540/5=108$ Answer choice C was too small. And we also know that the more sides a figure has, the larger each individual angle will be. This means we can cross off answer choices A and B (60 degrees and 90 degrees, respectively), as those answers would be even smaller. Now let us try answer choice D. $(nâËâ2)180$ $(6âËâ2)180$ $(4)180$ $720$ Or you could find your internal degree sum by once again making triangles from your polygons. Which would again give you $(4)180=720$ degrees. Now letââ¬â¢s divide the degree sum by the number of sides. $720/6=120$ We have found our answer. The figure has 6 sides. Our final answer is D, 6. Luckily for us, the SAT is predictable. You don't need a psychic to figure out what you're likely to see come test day. Typical Polygon Questions Now that weââ¬â¢ve been through all of our polygon rules and formulas, letââ¬â¢s look at a few different types of polygon questions youââ¬â¢ll see on the SAT. Almost all polygon questions will involve a diagram in some way (especially if the question involves any polygon with four or more sides). The few problems that do not use a diagram will generally be simple word problems involving rectangles. Typically, you will be asked to find one of three things in a polygon question: #1: The measure of an angle (or the sum of two or more angles)#2: The perimeter of a figure#3: The area of a figure Letââ¬â¢s look at a few real SAT math examples of these different types of questions. The Measure of an Angle: Because this hexagon is regular, we can find the degree measure of each of its interior angles. We saw earlier that we can find this degree measure by either using our interior angle formula or by dividing our figure into triangles. A hexagon can be split into 4 triangles, so $180à °*4=720$ degrees. There are 6 interior angles in a hexagon, and in a regular hexagon, these will all be equal. So: $720/6=120$ Now the line BO is at the center of the figure, so it bisects the interior angle CBA. The angle CBA is 120, which means that angle $x$ will be: $120/2=60$ Angle $x$ is 60 degrees. Our final answer is B, 60. The Perimeter of a Figure: We are told that ABCE is a square with the area of 1. We know that we find the area of a square by multiplying the length and the width (or by squaring one side), which means that: $lw=1$ This means that: $l=1$ And, $w=1$ We also know that every side is equal in a square. This means that $\ov{AB}, \ov{BC}, \ov{CE}, and \ov{AE}$ are ALL equal to 1. We are also told that CED is an equilateral triangle, which means that each side length is equal. Since we know that $\ov{CE} = 1$, we know that $\ov{CD}$ and $\ov{DE}$ both equal 1 as well. So the perimeter of the polygon as a whole- which is made of lines $\ov{AB}, \ov{BC}, \ov{CD}, \ov{DE}, and \ov{EA}$- is equal to: $1+1+1+1+1=5$ Our final answer is B, 5. [Note: don't get tricked into picking answer choice C! Even though each line in the figure is worth 1 and there are 6 lines, line $\ov{CE}$ is NOT part of the perimeter. This is an answer choice designed to bait you, so be careful to always answer only what the question asks.) The Area of a Figure: We are told that the length of the rug is 8 feet and that the length is also 2 feet more than the width. This means that the width must be: $8âËâ2=6$ Now we also know that we find the area of a rectangle by multiplying width and length. So: $8*6=48$ The area of the rug is 48 square feet. Our final answer is B, 48. And now time for some practical how-to's, from tying a bow to solving your polygon questions. How to Solve a Polygon Question Now that weââ¬â¢ve seen the typical kinds of questions youââ¬â¢ll be asked on the SAT and gone through the process of finding our answers, we can see that each solving method has a few techniques in common. In order to solve your polygon problems most accurately and efficiently, take note of these strategies: #1: Break up figures into smaller shapes Donââ¬â¢t be afraid to write all over your diagrams. Polygons are complicated figures, so always break them into small pieces when you can. Break them apart into triangles, squares, or rectangles and youââ¬â¢ll be able to solve questions that would be impossible to figure out otherwise. Alternatively, you may need to expand your figures by providing extra lines and creating new shapes in which to break your figure. Just always remember to disregard these false lines when youââ¬â¢re finished with the problem. Because this is an awkward shape, let us create a new line and break the figure into two triangles. Next, let us replace our given information. From our definitions, we know that every triangle will have interior angles that add up to 180 degrees. We also know that the two angles we created will be equal. We can use this information to find the missing, equal, angle measures by subtracting our givens from 180 degrees. $180âËâ30âËâ20âËâ20$ $110$ Now, we can divide that number in half to find the measurement of each of the two equal angles. $110/2$ $55$ Now, we can look at the smaller triangle as its own independent triangle in order to find the measure of angle z. Again, the interior angles will measure out to 180 degrees, so: $180âËâ55âËâ55$ $70$ Angle $z$ is 70 degrees. Our final answer is B, 70. #2: Use your shortcuts If you donââ¬â¢t feel comfortable memorizing formulas or if you are worried about getting them wrong on test day, donââ¬â¢t worry about it! Just understand your shortcuts (for example, remember that all polygons can be broken into triangles) and youââ¬â¢ll do just fine. #3: When possible, use PIA or PIN Because polygons involve a lot of data, it can be very easy to confuse your numbers or lose track of the path you need to go down to solve the problem. For this reason, it can often help you to use either the plugging in answer strategy (PIA) or the plugging in numbers strategy (PIN), even though it can sometimes take longer (for more on this, check out our guides to PIA and PIN). #4: Keep your work organized There is a lot of information to keep track of when working with polygons (especially once you break the figure into smaller shapes). It can be all too easy to lose your place or to mix-up your numbers, so be extra vigilant about your organization and donââ¬â¢t let yourself lose a well-earned point due to careless error. Ready? Test Your Knowledge Now it's time to test your knowledge with real SAT math problems. 1. 2. 3. Answers: D, B, 6.5 Answer Explanations 1. Again, when dealing with polygons, it's useful to break them into smaller pieces. For this trapezoid, let us break the figure into a rectangle and a triangle by dropping down a height at a 90 degree angle. This will give us a rectangle, which means that we will be able to fill in the missing lengths. Now, we can also find the final missing length for the leg of the triangle. Since this is a right triangle, we can use the Pythagorean theorem. $a^2+b^2=c^2$ $x^2+15^2=17^2$ $x^2+225=289$ $x^2=64$ $x=8$ Finally, let us add up all the lines that make up the perimeter of the trapezoid. $17+20+15+20+8$ $80$ Our final answer is D, 80. 2. We are told that the larger polygon has equal sides and equal angles. We can also see that the shaded figure has 4 sides and angles, which means it is a quadrilateral. We know that a quadrilateral has 360 degrees, so let us subtract our givens from 360. $x+y=80$ $360âËâ80=280$ Again, we know that the polygon has all equal angles, so we can find the individual degree measures by dividing this found number in half. $280/2=140$ Each interior angle of the polygon will have 140 degrees. Now, we can find the number of sides by either reversing our polygon side formula or by plugging in answers. Let's look at both methods. Method 1: Formula $${(nâËâ2)180}/n$$ We know that this formula gives us the measure of each interior angle, so let us use the knowledge of our individual interior angle (our found 140 degrees) and plug it in to find n, the number of sides. $140={(nâËâ2)180}/n$ $140n=(nâËâ2)180$ $140n=180nâËâ360$ $âËâ40n=âËâ360$ $n=9$ Our polygon has 9 sides. Our answer is B, 9. Method 2: Plugging in answers We can also use our method of plugging in answers to find the number of sides in our polygon. As always, let us select answer option C. Answer choice C gives us 8 sides. We know that a polygon with eight sides will be broken into 6 triangles. So it will have: $180*6$ $1080$ degrees total Now, if we divide this total by the number of sides, we get: $1080/8$ $135$ Each interior angle will be 135 degrees. This answer is close, but not quite what we want. We also know that the more sides a regular polygon has, the larger each interior angle measure will be (an equilateral triangle's angles are each 60 degrees, a rectangle's angles are each 90 degrees, and so on), so we need to pick a polygon with more than 8 sides. Let us then try answer choice B, 9 sides. We know that a 9-sided polygon will be made from 7 triangles. This means that the total interior degree measure will be: $180*7$ $1260$ And we know that each angle measure will be equal, so: $1260/9$ $140$ We have found our correct answer- a 9-sided polygon will have individual angle measures of 140 degrees. Our final answer is B, nine. 3. Let us begin by breaking up our figure into smaller, more manageable polygons. We know that the larger rectangle will have an area of: $2*1$ $2$ The smaller rectangle will have an area of: $1*x$ $x$ (Note: we are using $x$ in place of one of the smaller sides of the small rectangles, since we do not yet know its length) We are told that the total area is $9/4$, so: $2+x=9/4$ $x=9/4âËâ2$ $x=9/4âËâ8/4$ $x=1/4$ Now that we know the length of x, we can find the perimeter of the whole figure. Let us add all of the lengths of our exposed sides to find our perimeter. $1+2+1+0.25+1+0.25+1$ $6.5$ Our perimeter is $6.5.$ Our final answer is 6.5. I think you deserve a present for pushing through on polygons, don't you? The Take Aways Though polygon questions may seem complicated, all polygons follow just a handful of rules. You may come across irregular polygons and ones with many sides, but the basic strategies and formulas will apply regardless. So long as you follow your solve steps, keep your work well organized, and remember your key definitions, you will be able to take on and solve polygon questions that once seemed utterly obscure. Whatââ¬â¢s Next? Phew! You knocked out polygons and now it's time to make sure the rest of your math know-how is in top shape. First, make sure you have working knowledge of all the math topics on the SAT so that you can get a sense of your strengths and weaknesses. Next, find more topic-specific SAT math guides like this one so that you can turn those weak areas into strengths. Need to brush up on your probability questions? Fractions and ratios? Lines and angles? No matter what topic you need, we've got you covered. Running out of time on the SAT math? Look to our guide on how to best boost your time (and your score!). Worried about test day? Take a look at how you should prepare for the actual day in question. Want to get a perfect score? Check out our guide to getting an 800 on SAT math, written by a perfect scorer. Want to improve your SAT score by 160 points? Check out our best-in-class online SAT prep program. We guarantee your money back if you don't improve your SAT score by 160 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math strategy guide, you'll love our program. Along with more detailed lessons, you'll get thousands of practice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:
Tuesday, November 5, 2019
How to Water a Tree and When You Shouldnt
How to Water a Tree and When You Shouldn't Few tasks for homeowners are more complicated than knowing if, when and how to water a landscape tree. Much of it depends on the type of tree, your climate, current weather conditions, and a host of other variables. A watering schedule that works well for one tree species in one region of the country can be disastrous for a different tree species or in a different climate region.à Water is the single most essential resource for a trees survival and growth, far more important than fertilizing, disease and pest control, or any other biological need.à Most of us understand the need to water trees during dry times, but what we often forget is that a tree can also be harmed by too much water. Unfortunately, the symptoms for a water-starved tree can appear to be the same as symptoms caused by water-logged tree roots. A tree that is beginning to wilt may be shutting down because too much water has introduced a vascular fungal disease into the roots, for example. In many cases, a homeowner then responds by watering more frequently and more heavily, which can lead to much bigger problems.à Symptoms for both under-watering and over-watering can be the appearance of wilted and scorched leaves. Both conditions can prevent tree roots from effectively transporting water to the top of the tree and the tree will react by wilting. In addition, too much tree water can also shut down sufficient oxygen to the roots. Some tree species can handle wet feet but many trees can not. Always read up on your tree species and learn what it wants and doesnt want in terms of its environment and watering needs.à Trees known for vibrant fall color will show disappointing color in the fall if you overwater them. Bright leaf color is triggered by the naturally dry conditions that occur in the early fall, and a tree that receives too much water during this time of year may respond by disappointing you with its leaf color. To maximize the fall display, keep the tree well-watered during the main part of the growing season, but withhold water in the late summer and early fall. Once the trees leaves have fallen, do water the soil adequately, because you want good soil moisture to be present in the ground going into winter.à How To Water a Tree Supplemental watering during drought conditions can prevent tree decline, pest problems, and non-recoverable damage to tree roots and theà canopy. Young trees recently planted in the landscape and certain drought-prone species need regular watering during dry periods. This essentially means that most trees that have seen no rainfall in a given week should get a hand watering. This is not a hard and fast rule, though, because many native species are adapted to local conditions and may not need extra watering. Consult with a nursery specialist or a member of your state universitys Extension service to learn the needs of your trees.à Depending upon soil texture, the density of water-competing plants found around the tree, daily temperatures, and recent rainfall amounts, about one inch of water per week should keep a tree healthy. Trees should be watered once or at most twice a week in the growing season if there has been no significant rainfall. A few slow, heavy (high-volume) waterings are much better than many short, shallow waterings, because long, infrequent waterings encourage the tree to send out deep, robust roots. Frequent shallow waterings will encourage the tree to rely on shallow, weak roots, which is not to the long-term benefit of the tree.à However, to say that a tree needs deep watering does not mean dumping huge quantities of water on it in within a few minutes. When this is done, much of the water simply sinks through the soil layer past the trees roots and is never taken up by the roots at all. The best deep watering is a slow watering left in place for an hour or so. Turning a garden hose on so it produces a small trickle and leaving the end of the hose a foot or so away from the trunk is ideal. Another excellent method for watering young trees is to use one of the tree-watering bags available. Made from dense flexible plastic or rubber, these bags fit around the lower tree trunk, and when they are filled with water, they allow a slow, steady trickle of water to run down into the earth. This provides the deep, slow watering that is ideal for trees.à All landscape trees should be properly mulched, which means blanketing the area directly under the tree canopy with a 2- or 3-inch layer of organic material, such as shredded wood or compost. This layer of mulch will cool the soil and keep moisture trapped in place. But dont pile the mulch up against the tree trunk, because this will encourage pests and fungal diseases.à Dont Over-Water a Tree! As mentioned, if the trees leaves look wilted or scorched even though you have faithfully been watering, its quite possible that there is too much soil moisture for the tree to handle. This can be a problem in landscape with automatic watering systems that apply water by timer even during weeks when rainfall amounts have been good. The best way to check for wet soil is to dig down 6 to 8 inches and feel the soil. The soil should be cool and slightly moist but not soaking wet. Examining the soil with your hands may also tell you much. You should be able to press most non-sandy soils into a ball with your hands and have it stay together without falling apartthis indicates proper soil moisture.à If the soil ball falls apart when squeezed, then the soil may not have sufficient moisture. If the soil ball you just made will not crumble when rubbed, you either have clay soil or soil that is too wet to crumble. This is an indication of too much water, so watering should be stopped. Neither loose sandy soils nor dense clay soils are ideal for growing most trees, although you may be able to find species well adapted to these soil conditions. In general,à sandy soils will adequately support trees adapted to droughty, low-moisture conditions, while clay soils will work well with trees known to thrive in wet, boggy environments.
Sunday, November 3, 2019
The Rise of Christianity Essay Example | Topics and Well Written Essays - 1500 words
The Rise of Christianity - Essay Example Consequently, major rivalry occurred and still occurs due to division of various groups within the Christian religion. First century marked the beginning of Christianity mainly practiced by Jews. Christianity then spread to other areas of east and west. In Africa, Christianity spread due to missionary work and culminated to substitution of various African cultures and beliefs. During the transition age majority of Europe was under Christianity. Those who believe in Jesus are said to have internal peace and inheritor of another immortal life. Jesus performed various miracles before death and documentation exists in the bible. Additionally, following the commandments guarantees one access to eternal life (King James Bible Web). Consequently, reflection in the history of Christianity plays significant role in understanding development and growth of Christianity. This paper seeks to describe the rise of Christianity. Firstly, several stages and events characterize the rise of Christianit y. The most important thing that happened for the rise of Christianity to take place was the fall of Roman Empire (Caesars) that had established authoritarian regime in ancient period. Secondly, Jews played a central and important in the meaning of early Christianity. Thirdly, the coming of Christ for humankind was also significant followed by results of various teaching of the time. These teachings have the same effects to todayââ¬â¢s society. Ancient Rome was characterized by authoritative rule of Caesar Augustus (Nardo 42-51). At the same time, transformations were taking place in Judea province. Additionally, Alexander the great was a great ruler who managed to overthrow Roman rule in Great Palestine and placed it under the watch of Ptolemy followed by Seleucids. Moreover, Jews returned from Babylon in 538 B.C with Moses rules and teaching as part of their belief systems. Torah was important in their religious practices based on the commands given to Moses by God. During this reign the Temple was a holy place that was accorded due respect. High priests were accorded maximum respect, as they had a special place in society assisted by Sanhedrin. Sanhedrin was important in implementation of Torah as laid down by Moses. Later, synagogue replaced the temple and was dominant as practiced by Judaism. However, temple was also a place of worship for Jews who were far away from Palestine. Moreover, Hebrews was translated into Greek to take care of Jews outside Palestine who practiced Greek as their language. Greek contributed to serious division in Judea but Greek prevailed due to support from pro-Greek Sadducees. King Seleucid declaration that temple be devoted to Zeus led to uprising by Jews who saw this as disrespect of temple. In 142 BC, Jews won this battle and were granted freedom (Nardo 45-59). The next rule after Judah was corrupt and this led to civil strife and war. However, Romans intervened and Palestine fell under stewardship of Roman. Herod was appo inted as Judea King and transformed the infrastructure. Pontius Pilate took over after Herodââ¬â¢s death. Most Jews hinged their hope on Jesus as a political messiah while others gave up and thought of Jesus as a spiritual leader. A section of Jews was impatient and advocated for revolution to get rid of foreigners and this resulted in a protracted battle with the Romans. Zealots killed large group of Romans in AD 66. At
Friday, November 1, 2019
The relative importance of Reward and Resourcing within the overall Essay
The relative importance of Reward and Resourcing within the overall role of the Human Resource function - Essay Example The present composition describes employee rewards and resourcing aspects of management. Contemporary rewards management focuses on integrating HRM and strategic rewards in a manner that prioritizes managerial deliverables The concept of employee rewards is a complex framework that reinforces the interplay between different aspects of organisational behaviour other than the financial perspective. Employee resourcing is concerned with equating business goals in terms of resources as per the forecasted work. It also involves evaluation of the required skills and technical know-how. In this composition, an attempt to understand the relation between employee resourcing and rewards has been made along with an understanding of how these practices impact each other and the business in positive and negative ways. From rewards perspective, contemporary organisations and businesses focus on developing attracting and developing talent alongside improving organisational performance. A comprehens ive reward system has to meet the requirements of flexibility in terms of pay and incentives; as well as meet governmental regulations put forth in the form of labour law and wages; in addition, this system should include a provision for continuous negotiation between employer and employee, which will extract optimum performance from the employee and also provide maximum benefit in the form of rewards. Framing such a comprehensive reward system is therefore very complicated. ... The reward systems are strategically integrated with organisational goals. These rewards are based on performance and can be flexibly altered according to the business and/or employee preferences. As described by Armstrong and Brown (2006, p.22), the holistic approach of total rewards provides for the integration with reward of a number of HR policies and practices such as employee development, resourcing, life-work balance, recognition schemes, work design and participation. Yet, the total rewards system does not make the purpose of attracting and retaining the best talent simple; the system is always complex and time consuming. Different practices adopted in reward management include merit or individual performance pay, profit-sharing, broadbanding, competence-related pay, flexible benefits, team pay and gain-sharing. Of these, merit or performance pay practice is adopted by most of the companies (Armstrong, 2002). Evolution of the contemporary rewards system has culminated in tota l rewards system, a concept that has been adopted by most of the organisations. organisations have modified the system to fit their strategy, which has further resulted in a variety of total reward models. The most renowned models according to CIPD are those of WorldatWork, Hay Group, Towers Perrin and Schuster-Zingheim and Associates (Thompson, 2002). Of these, the most elaborate and comprehensive model is that of the Hay Group, which considers reward design to be a platform that enhances engaged performance. This model includes financial, motivational and practical aspects of work and is made of six elements: inspirational values, quality of work, enabling environment, tangible rewards, work-life balance, and future
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