...Assignment 5 DeJuan Stanley MAT 221 Prof Timothy Kilgore June 2, 2014 MAT 221 Week 5 Assignment Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? The key to solving this equation is to use the Pythagorean Theorem which has a right angle in the equation with a & b equaling side c. Based on the example we know that we will have to use the formula A^2 + B^2 = C^2. What we know is that Ahmed’s half of the map is 2x + 6 = treasure, which would be how far he would need to walk, (A^2). Vanessa’s map needs to show her how to get to the North of Castle Rock, which is 2x + 4, (C^2). We are trying to solve for X (side B). Vanessa is forming a 90 degree angle from point B and walk (2x + 4) until she made it to C. The formula we would use to solve for X is the following: (2x + 6)^2 = x^2 + (2x + 4)^2 4x^2 + 24x + 36 = x^2 +4x^2 + 16x + 16 The next step would be to combine like terms, multiplying, adding, and subtracting. 24x + 36 = x^2 + 16x + 16 -24x -24x 36 = x^2 – 8x + 16 -36 -36 Now we have a quadratic equation. Treasure = x^2 – 8x – 20. We have...
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...Pythagorean Quadratic Diane Todd MAT 221 Introduction to Algebra Instructor Alicia Davis September 29, 2013 Treasure hunts have always been a big deal in our home. Having raised five boys, anything to do with an adventure was exciting. Actually, this past June I planned one of my grandsons birthday parties around the theme of pirates and treasure hunting. I had never considered the math that went behind the maps in which I made up. Needless to say, when I saw the question entitled “buried treasure” in our math book, it brought back numerous memories. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x? Even though Ahmed’s half of the map does not tell him which direction the 2x + 6 paces should go, Ahmed can assume that his and Vanessa’s paces should end up in the same place. If I sketch out this scenario on paper, I see that I have a right triangle with 2x + 6 being the length of the hypotenuse, and 2x + 4 being the legs of the triangle. I now can use the Pythagorean Theorem to solve for x. The Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse of c, these...
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...Pythagorean Theorem: Finding Treasure Patricia Diggs MAT 221 Introduction to Algebra Instructor Bridget Simmons May 12, 2013 Pythagorean Theorem: Finding Treasure In this paper I will attempt to use the Pythagorean Theorem to solve the problem which reads Ahmed has half of a treasure map which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x+4 paces to the east. If they share their information they can find x and save a lot of digging. What is x? The Pythagorean Theorem states that in every right triangle with legs the length a and b and hypotenuse c, these lengths have the relationship of a2 + b2=c2. a=x b=(2x+4)2 c=(2x+6)2 this is the binomials we will insert into our equation x2+(2x+4)2=(2x+6)2 the binomials into the Pythagorean Theorem x2+4x2+16x+16=24x36 the binomial squared. The 4x2can be subtracted out first x2+16x+16=24x+36 now subtract 24x from both sides x2+-8x+16=36 now subtract 36 from both sides x2-8x-20=0 this is a quadratic equation to solve by factoring and using the zero factor. (x- )(x+ ) the coefficient of x2 is one (1). We can start with a pair of parenthesis with an x each. We have to find...
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...QUADRATIC Running head should use a shortened version of the title if the title is long! All capital letters for the title and the words Running and Head should be capitalized as well. 1 Pythagorean Quadratic (full title; centered horizontally & vertically) First Name Last Name MAT 221 Dr. xxxxxxxxxxx xxxxxxxxx Date PYTHAGOREAN QUADRATIC 2 Pythagorean Quadratic Be sure to have a centered title on page 1 of your papers!! [The introductory paragraph must be written by each individual student and the content will vary depending on what the student decides to focus on in the general information of the topic. YOUR INTRODUCTION SHOULD CONNECT MATH CONCEPTS AND REAL-WORLD APPLICATIONS. DO NOT INCLUDE THE DIRECTIONS IN THE INTRO! The following paragraph is not an introduction to the paper but rather the beginning of the assignment.] Here is a treasure hunting problem very similar to the one in the textbook (Dugopolski, 2012). This problem involves using the Pythagorean Theorem to find distance between several points. Spanky has half of a treasure map, which indicates treasure is buried 2x + 9 paces from Leaning Rock. Buckwheat has the other half of the treasure map, which says that to find the treasure one must walk x paces to the north from Leaning Rock and then 2x + 6 paces east. Spanky and Buckwheat found that with both bits of information they can solve for x and save themselves a lot of digging. How many paces is x? Even though Spanky’s half of the map does not indicate...
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...PROLOGUE Fortress of the Light Pedron Niall's aged gaze wandered about his private audience chamber, but dark eyes hazed with thought saw nothing. Tattered wall hangings, once battle banners of the enemies of his youth, faded into dark wood paneling laid over stone walls, thick even here in the heart of the Fortress of the Light. The single chair in the room heavy, high-backed, and almost a throne - was as invisible to him as the few scattered tables that completed the furnishings. Even the white-cloaked man kneeling with barely restrained eagerness on the great sunburst set in the wide planks of the floor had vanished from Niall's mind for the moment, though few would have dismissed him so lightly. Jaret Byar had been given time to wash before being brought to Niall, but both his helmet and his breastplate were dulled from travel and battered from use. Dark, deep-set eyes shone with a feverish, urgent light in a face that seemed to have had every spare scrap of flesh boiled away. He wore no sword - none was allowed in Niall's presence - but he seemed poised on the edge of violence, like a hound awaiting the loosing of the leash. Twin fires on long hearths at either end of the room held off the late winter cold. It was a plain, soldier's room, really, everything well made but nothing extravagant except for the sunburst. Furnishings came to the audience chamber of the Lord Captain Commander of the Children of the Light with the man who rose to the office; the...
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...Mao's Last Dancer Li Cunxin Dedication To the two special women in my life—my mother and my wife Mao’s Last Dancer A Wedding Qingdao, 1946 On the day of her marriage, a young girl sits alone in her village home. It is autumn, a beautiful October morning. The country air is cool but fresh. The young girl hears happy music approaching her house. She is only eighteen, and she is nervous, frightened. She knows that many marriage introducers simply take money and tell lies. Some women from her village marry men who don't have all their functional body parts. Those women have to spend the rest of their lives looking after their husbands. Wife beating is common. Divorce is out of the question. Divorced women are humiliated, despised, suffering worse than an animals fate. She knows some women hang themselves instead and she prays this is not going to be her fate. She prays to a kind and merciful god that her future husband will have two legs, two arms, two eyes and two ears. She prays that his body parts are normal and functional. She worries that he will not be kind-hearted and will not like her. But most of all she &+x worries about her unbound feet. Bound feet are still in fashion. Little girls as young as five or six have to tuck four toes under the big toe and squeeze them hard to stop the growth. It is extremely painful, and the girls have to change the cloth bandages and wash their feet daily to avoid infection. The tighter the feet are bound the smaller the feet will...
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...i FOREWORD ______________________________________________________________________________iii Of the Beginning of Days ____________________________________________________________________ 12 Of Aulë and Yavanna _______________________________________________________________________ 17 Of the Coming of the Elves and the Captivity of Melkor____________________________________________ 19 Of Thingol and Melian ______________________________________________________________________ 24 Of Eldamar and the Princes of the Eldalië _______________________________________________________ 25 Of Fëanor and the Unchaining of Melkor________________________________________________________ 28 Of the Silmarils and the Unrest of the Noldor ____________________________________________________ 30 Of the Darkening of Valinor__________________________________________________________________ 33 Of the Flight of the Noldor ___________________________________________________________________ 35 Of the Sindar______________________________________________________________________________ 42 Of the Sun and Moon and the Hiding of Valinor __________________________________________________ 45 Of Men __________________________________________________________________________________ 49 Of the Return of the Noldor __________________________________________________________________ 50 Of Beleriand and Its Realms__________________________________________________________________ 56 Of the Noldor in Beleriand...
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...I DO NOT OWN THIS FOREWORD ______________________________________________________________________________iii Of the Beginning of Days ____________________________________________________________________ 12 Of Aulë and Yavanna _______________________________________________________________________ 17 Of the Coming of the Elves and the Captivity of Melkor____________________________________________ 19 Of Thingol and Melian ______________________________________________________________________ 24 Of Eldamar and the Princes of the Eldalië _______________________________________________________ 25 Of Fëanor and the Unchaining of Melkor________________________________________________________ 28 Of the Silmarils and the Unrest of the Noldor ____________________________________________________ 30 Of the Darkening of Valinor__________________________________________________________________ 33 Of the Flight of the Noldor ___________________________________________________________________ 35 Of the Sindar______________________________________________________________________________ 42 Of the Sun and Moon and the Hiding of Valinor __________________________________________________ 45 Of Men __________________________________________________________________________________ 49 Of the Return of the Noldor __________________________________________________________________ 50 Of Beleriand and Its Realms__________________________________________________________________ 56 Of the Noldor in...
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...Kautilya's Arthashastra Translated into English by R. Shamasastry Kautilya's Arthashastra Translated into English by R. Shamasastry Kautilya's Arthashastra Table of Contents Book I, "Concerning Discipline" .............................................................. 3 Book II, "The Duties of Government Superintendents" ....................... 60 Book III, "Concerning Law" ................................................................. 213 Book IV, "The Removal of Thorns"...................................................... 285 Book V, "The Conduct of Courtiers" ................................................... 336 Book VI: The Source of Sovereign States ............................................ 362 Book VII, "The End of the Six-Fold Policy" .......................................... 370 Book VIII: Concerning Vices and Calamities........................................ 467 Book IX, "The Work of an Invader" ..................................................... 490 Book X, "Relating to War" ................................................................... 521 Book XI, "The Conduct of Corporations" ............................................ 541 Book XII, "Concerning a Powerful Enemy" ......................................... 547 Book XIII, "Strategic Means to Capture a Fortress" ............................ 563 Book XIV, "Secret Means" ................................................................... 584 Book XV, "The Plan of a Treatise" ......
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...AN ILLUSTRATED GUIDE TO KOREAN MYTHOLOGY RUSSIA KOREA CHINA CHEJU JAPAN TAIWAN An Illustrated Guide to Korean Mythology Choi Won-Oh GLOBAL ORIENTAL AN ILLUSTRATED GUIDE TO KOREAN MYTHOLOGY Choi Won-Oh First published in 2008 by GLOBAL ORIENTAL LTD PO Box 219 Folkestone Kent CT20 2WP UK www.globaloriental.co.uk © Global Oriental Ltd 2008 ISBN 978-1-905246-60-1 All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any electronic, mechanical or other means, now known or hereafter invented, including photocopying and recording, or in any information storage or retrieval system, without prior permission in writing from the publishers. British Library Cataloguing in Publication Data A CIP catalogue entry for this book is available from the British Library This book is published with the support of the Korea Literature Translation Institute (KLTI) for the project ‘Books from Korea, 2005’ Set in Plantin 10.5 on 12 point by Mark Heslington, Scarborough, North Yorkshire Printed and Bound by Stallion Press (Singapore) Pte Ltd Contents Preface Introduction: Understanding Korean Myths The Korean gods Myths about Cosmology and Flood 1. The Formation of Heaven and Earth 2. Shoot for a Sun, Shoot for a Moon 3. A Man and a Woman Who Became the Gods of the Sun and the Moon 4. Origin of the Seven Stars of the Great Bear 5. The Great Flood Myths about Birth and Agriculture 6. The Grandmother Goddess of Birth 7. Chach’o(ngbi...
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...THE FIRST FILIPINO Republie of the Philippines Department of Education & Culture NATIONAL HISTORICAL COMMISSION Manila FERDINAND E. MARCOS President Republic of the Philippines JUAN L. MANUEL Secretary of Education & Culture ESTEBAN A. DE OCAMPO Chairman DOMINGO ABELLA Member HORACIO DE LA COSTA, S. J. Member GODOFREDO L. ALCASID Ex-Oficio Member TEODORO A. AGONCILLO Member EMILIO AGUILAR CRUZ Member SERAFIN D. QUIASON Ex-Oficio Member FLORDELIZA K. MILITANTE Exccutive Director RAMON G. CONCEPCION Chief, Administrative Division BELEN V. FORTU Chief, Budget & Fiscal Division JOSE C. DAYRIT Chief, Research & Publications Division AVELINA M. CASTAÑEDA Chief, Special & Commemorative Events Division ROSAURO G. UNTIVERO Historical Researcher & Editor EULOGIO M. LEAÑO Chief Historical Writer-Translator & Publications Officer GENEROSO M. ILANO Auditor JOSE RIZAL (1861-1896) THE FIRST FILIPINO A Biography of José Rizal by LEÓN Ma. GUERRERO with an introduction by CARLOS QUI R INO ( Awarded First Prize in the Rizal Biography Contest held under the auspices of the José Rizal National Centennial Commission in 1961) NATIONAL HISTORICAL COMMISSION Manila 1974 First Printing 1963 Second Printing 1965 Third Printing 1969 Fourth Printing 1971 Fifth Printing 1974 This Book is dedicated by the Author to the other Filipinos Speak of me as I am; nothing extenuate, Nor set down aught in malice, Shakespeare: °the/Lo. Paint my picture truly like me, and not flatter me at all ; but...
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...owner. All inquiries should be addressed to: Barron's Educational Series, Inc. 250 Wireless Boulevard Hauppauge, NY 11788 http://www.barronseduc.com Library of Congress Catalog Card No. 00-030344 International Standard Book Number 0-7641-1365-8 Library of Congress Cataloging-in-Publication Data Bromberg, Murray. 1100 words you need to know / Murray Bromberg, Melvin Gordon. p. cm. Includes index. ISBN 0-7641-1365-8 1. Vocabulary. I. Title: Eleven hundred words you need to know. II. Gordon, Melvin. III. Title. PE1449.B643 2000 428.1dc21 00-030344 PRINTED IN THE UNITED STATES OF AMERICA 987654321 < previous page page_ii next page > < previous page page_iii next page > Page iii Contents Full Pronunciation Key Weeks 146 Buried Words Words in Context Analogy Review Answers Final Review Test The Panorama of Words Index iv 1 299 303...
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...Wuthering Heights Emily Bronte This eBook is designed and published by Planet PDF. For more free eBooks visit our Web site at http://www.planetpdf.com/. Wuthering Heights Chapter I 1801. - I have just returned from a visit to my landlord - the solitary neighbour that I shall be troubled with. This is certainly a beautiful country! In all England, I do not believe that I could have fixed on a situation so completely removed from the stir of society. A perfect misanthropist’s heaven: and Mr. Heathcliff and I are such a suitable pair to divide the desolation between us. A capital fellow! He little imagined how my heart warmed towards him when I beheld his black eyes withdraw so suspiciously under their brows, as I rode up, and when his fingers sheltered themselves, with a jealous resolution, still further in his waistcoat, as I announced my name. ’Mr. Heathcliff?’ I said. A nod was the answer. ’Mr. Lockwood, your new tenant, sir. I do myself the honour of calling as soon as possible after my arrival, to express the hope that I have not inconvenienced you by my perseverance in soliciting the occupation of Thrushcross Grange: I heard yesterday you had had some thoughts - ‘ 2 of 540 Wuthering Heights ’Thrushcross Grange is my own, sir,’ he interrupted, wincing. ‘I should not allow any one to inconvenience me, if I could hinder it - walk in!’ The ‘walk in’ was uttered with closed teeth, and expressed the sentiment, ‘Go to the Deuce:’ even the gate over which he...
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...onaryDictionary of Ònìchà Igbo 2nd edition of the Igbo dictionary, Kay Williamson, Ethiope Press, 1972. Kay Williamson (†) This version prepared and edited by Roger Blench Roger Blench Mallam Dendo 8, Guest Road Cambridge CB1 2AL United Kingdom Voice/ Fax. 0044-(0)1223-560687 Mobile worldwide (00-44)-(0)7967-696804 E-mail R.Blench@odi.org.uk http://www.rogerblench.info/RBOP.htm To whom all correspondence should be addressed. This printout: November 16, 2006 TABLE OF CONTENTS Abbreviations: ................................................................................................................................................. 2 Editor’s Preface............................................................................................................................................... 1 Editor’s note: The Echeruo (1997) and Igwe (1999) Igbo dictionaries ...................................................... 2 INTRODUCTION........................................................................................................................................... 4 1. Earlier lexicographical work on Igbo........................................................................................................ 4 2. The development of the present work ....................................................................................................... 6 3. Onitsha Igbo ...................................................................................................
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...Exercises Articles Articles: a/an PEG 1-4 Insert a or an if necessary. 1 My neighbour is . . . photographer; let's ask him for . . . advice about colour films. 2 We had . . . fish and . . . chips for . . . lunch. ~ That doesn't sound . . . very interesting lunch. 3 I had . . . very bad night; I didn't sleep . . . wink. 4 He is . . . vegetarian; you won't get . . . meat at his house. He'll give you . . . nut cutlet. ~Last time I had . . . nut cutlet I had . . . indigestion. 5 . . . travel agent would give you . . . information about . . . hotels. 6 We'd better go by . . . taxi—if we can get . . . taxi at such . . . hour as 2 a.m. 7 . . . person who suffers from . . . claustrophobia has . . . dread of being confined in . . . small space, and would always prefer . . . stairs to . . . lift. 8 Do you take . . . sugar in . . . coffee? ~ I used to, but now I'm on . . . diet. I'm trying to lose . . . weight. 9 . . . man suffering from . . . shock should not be given anything to drink. 10 You'll get . . . shock if you touch . . . live wire with that screwdriver. Why don't you get . . . screwdriver with . . . insulated handle? 11 It costs fifty-five and . . . half pence and I've only got . . . fifty pence piece. ~ You can pay by . . . cheque here. ~ But can I write . . . cheque for . . . fifty-five and . . . half pence? 12 . . . Mr Smith is . . . old customer and . . . honest man. ~ Why do you say that? Has he been accused of . . . dishonesty...
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