course Mth 158 |????U??????assignment #003003. `query 3
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11:04:42 query R.3.16 \ 12 (was R.3.6) What is the hypotenuse of a right triangle with legs 14 and 48 and how did you get your result?
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RESPONSE --> 14^2 + 48^2 = 196 + 2304 then sqaure this number giving 48
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11:05:44 ** The Pythagorean Theorem tells us that c^2 = a^2 + b^2, where a and b are the legs and c the hypotenuse. Substituting 14 and 48 for a and b we get c^2 = 14^2 + 48^2, so that c^2 = 196 + 2304 or c^2 = 2500. This tells us that c = + sqrt(2500) or -sqrt(2500). Since the length of a side can't be negative we conclude that c = +sqrt(2500) = 50. **
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RESPONSE --> Made a careless mistake: add 196+2304 = 2500 and square root 2500 hence 50
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11:07:04 query R.3.22 \ 18 (was R.3.12). Is a triangle with legs of 10, 24 and 26 a right triangle, and how did you arrive at your answer?
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RESPONSE --> 10*10 = 100 24*24 = 576 and square root of 676 is 26 so this is a right triangle I used the pythagorean theorem
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11:07:36 ** To find the volume and surface are a sphere we use the given formulas: Volume = 4/3 * pi * r^3 V = 4/3 * pi * 3^3 V = 4/3 * pi * 27 V = 36pi m^3 Surface Area = 4 * pi * r^2 S = 4 * pi * 3^2 S = 4 * pi * 9 S = 36pi m^2. **
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RESPONSE --> manipulating the Pythagoren Theorem
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11:15:18 query R.3.50 \ 42 (was R.3.36). A pool of diameter 20 ft is enclosed by a deck of width 3 feet. What is the area of the deck and how did you obtain this result?
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RESPONSE --> base x height so 20*3 = 60 feet
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11:20:37 ** The deck plus the pool gives you a circle of radius 10 ft + 3 ft = 13 ft. The area of the deck plus the pool is therefore pi * (13 ft)^2 = 169 pi ft^2. So the area of the deck must be deck area = area of deck and pool - area of pool = 169 pi ft^2 - 100 pi ft^2 = 69 pi ft^2. **
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RESPONSE --> right. because the diamter is given we can assume the pool is a circle.
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11:21:13 Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> with geometry type questions you have to think beyond the box sometimes and imagine the shapes
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???F????????????assignment #003 003. `query 3 College Algebra 05-31-2009