is an isosceles triangle. By that logic‚ ∠O=∠P’. Now‚ I looked at the triangle that is already drawn in the above figure‚ ΔAOP. We know that this triangle is also isosceles because OP=AP. By that logic‚ ∠A=∠O. Using the law of cosines c^2=a^2+b^2-2abcos(C)‚ which works for any triangle‚ I assigned θ to ∠O and determined that cos(θ)=1/(2*OP). Then‚ using the law of sines (insert law of sines here)‚ sin(θ)/1=sin(180-2θ)/OP’ OP’=sin(180-2θ)/sin(θ) OP’=sin(2θ)/sin(θ) OP’=2cos(θ) But because
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The C programming language (often‚ just "C") is a general-purpose‚ procedural‚ imperative computer programming language developed in the early 1970s by Dennis Ritchie for use on the Unix operating system. It has since spread to many other operating systems‚ and is now one of the most widely used programming languages. C also has had a great influence on many other popular languages‚[1] especially [[C++]] which was originally designed as an enhancement to C. It is the most commonly used programming
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Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each
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Homework Assignment 1 1. For each of the following equations determine whether it is linear in its variables or not. Explain your decision. a) b) c) 2. Solve each of the following systems and comment on geometric interpretation of its solutions. a) b) c) 3. Solve the following linear systems by Gauss-Jordan method: 4. Each of the following matrices is an augmented matrix of some linear system. In each case‚ determine : the ranks
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UNIVERSITI SAINS MALAYSIA School of Management Semester II‚ Academic Session 2007/2008 MID-TERM EXAMINATION ACW 110/3 ¨C BUSINESS MATHEMATICS 15 February 2008 8.00AM ¨C 10.00AM Dewan Kuliah ¡°Z¡± Name:_______________________________ Matrix:_______________________________ INSTRUCTIONS This exam booklet contains five (5) questions (including one bonus question) Answer the FIRST FOUR questions; the bonus question is an option. Show all your works clearly. This booklet contains seven (7)
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References: Excise Tax. http://www.bir.gov.ph/lumangweb/tax_excise.html Walden Bello. Inquirer.Net. The “Sin Tax: Bill: Promoting Nation’s Health and Pluggion Lucio Tan’s Loophole for Legal Tax Evasion. Karl John C. Reyes. InterAksyon.com. Sin Tax bill passage to impact PH trade‚ finance and social services – Drilon
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My Physical Fitness Assessment PED 117- Physical Fitness for Law Enforcement Carlos Canizales Professor Gotay April 05‚ 2012 Physical fitness is defined as‚ “The ability to perform moderate to vigorous physical activity on a regular basis without excessive fatigue.”(Donatelle‚ P.296) There are two parts of physical fitness made up of eleven components‚ known as skill and health. The skill part of physical fitness contains six components and the health section contains five components‚ which
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backup supplier they could order from. The order amount supplier-1 could fulfill was set at 17 no matter what demand was because of the tree disease and the simulation was run for 5000 holiday seasons once again. A screenshot of part B can be found in Appendix B-1. Then supplier-2 fulfilled the rest of the demand by using the equation =demand-S1 fulfillment. The cost of each was calculated separated and added at the end for a total cost with disposal
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material C material D She wrapped each beaker in a different material. She recorded the temperature at the start and 20 minutes later. (i) What was the independent variable that the scientist changed? 1ai 1 mark (ii) What was the dependent variable that the scientist measured during the investigation? 1aii 1 mark (b) The results of the investigation are shown below. time (minutes) temperature of water (°C) wrapped in material A material B material C material
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MGT 5015 Organizational Planning and Development CASE 1: C & C GROCERY STORES‚ INC. 1. In general‚ how did C&C’s first organizational structure contribute to the store managers’ dissatisfaction? The overall managerial structure of the company inhibited communication and cross training for its managers. The lack of communication between functional specialties keeps cooperation down and thus can lead to poor performance. The inability to be cross trained in multiple functional
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