R3 Assignment

Your work has been received. Please scroll through the document to see any inserted notes (inserte at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

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21:16:08 query R.3.12 (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 --> a = 14, b = 48 c^2 = a^2 + b^2 c^2 = 14^2 + 48^2 = 196 + 2304 = 2500 c = 50

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21:17:03 query R.3.18 (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 --> ok

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21:19:15 ** Using the Pythagorean Theorem we have c^2 = a^2 + b^2, if and only if the triangle is a right triangle. Substituting we get 26^2 = 10^2 + 24^2, or 676 = 100 + 576 so that 676 = 676 This confirms that the Pythagorean Theorem applies and we have a right triangle. **

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RESPONSE --> 10, 24, 26 26^2 = 10^2 + 24^2 676 = 100 + 576 676 = 676 Yes, this is a right triangle, and the length of the hypotenuse is 26

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21:43:30 ** 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 --> ok

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21:52:23 query R.3.42 (was R.3.36). A pool of radius 10 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 --> A=*pi*r^2 A=*pi*10^2 A=*pi*100 A=(3.14)(100) A=314 ft^2 A=*pi*r^2 A=*pi*13^2 A=*pi*169 A=(3.14)(169) A=530.66 ft^2 A=530.66 - 314 =216.66ft^2

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21:53:06 ** 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 --> I multiplied out pi, is that okay?

That is fine.

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Your work on this assignment is good. Let me know if you have questions.