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302 HW 10 - is half of 5280 2 or 2641 and the bottom leg is...

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M302 HOMEWORK #10 Dr. Schurle Assignment: page 213, #2, 6, 12, 14, 15, 18 Grade the following for 2 points each, then give all or part of the remaining two points depending on how much work they've done on the other problems. #2. First question: 1 2 2 2 = 1 4 = 5 =c 2 so the hypotenuse has length c= 5 , [approximately 2.236.] Second question: 1 2 b 2 = 3 2 , so b 2 = 3 2 1 2 = 9 1 = 8 and finally b = 8 , [approximately 2.828.] #14. No, because 2.6 2 8.1 2 = 6.76 65.61 = 72.37 but 8.6 2 = 73.96 . Yes, there is an angle larger than ninety degrees, because 8.6 is a little bigger than the hypotenuse would be. #15. [On a hot day] the hypotenuse [of the right triangle shown in the diagram ]
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Unformatted text preview: is half of 5280 + 2, or 2641, and the bottom leg is half of 5280, or 2640. Then if a is the length of the other leg, we have a 2 2640 2 = 2641 2 , so a 2 = 2641 2 − 2640 2 = 6974881 − 6969600 = 5281 and then a = 5281 , which is approximately 72.67 feet! #18. Measure the sides of the patio that meet at a corner, and then measure the diagonal going between the two corners adjacent to the one you're worried about. If the sum of the squares of the two sides equals the square of the diagonal, then the corner is a right angle, otherwise it is not....
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