course MTH 158 I finished the assignment three for section R3, but instead of ending, it went straight to section R4? I didn't do these because it wasn't part of this assignment, so I just closed it out. I hope I done it right..... ???????T??|d???assignment #003
......!!!!!!!!...................................
18:42:15 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?
......!!!!!!!!...................................
RESPONSE --> By using the pythagorean theory, a^2 + b^2=c^2 14^2 + 48^2 = c^2 196 + 2304 = c^2 2500=c^2 50=c The hypotenuse is 50 confidence assessment: 3
.................................................
......!!!!!!!!...................................
18:42:24 ** 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. **
......!!!!!!!!...................................
RESPONSE --> ok self critique assessment: 3
.................................................
......!!!!!!!!...................................
18:45:08 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?
......!!!!!!!!...................................
RESPONSE --> Square the lenths: 10^2=100 24^2=576 26^2=676 Lengths 10 and 24 squared equal 26 squared, so the hypotenuse is 26 and the lenths are 10 and 24. It is a right triangle. confidence assessment: 3
.................................................
......!!!!!!!!...................................
18:45:17 ** 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. **
......!!!!!!!!...................................
RESPONSE --> ok self critique assessment: 3
.................................................
......!!!!!!!!...................................
18:51:18 R.3.30 (was R.3.24). What are the volume and surface area of a sphere with radius 3 meters, and how did you obtain your result?
......!!!!!!!!...................................
RESPONSE --> To find the find the volume of a sphere you use the formula V=4/3*pi*r^2 V=4/3*3.14*3^3 V=113.04 meters squared To find the surface area you use the formula S=4*pi*r^2 S=4*3.14*3^2 S=113.04 meters squared. confidence assessment: 3
.................................................
......!!!!!!!!...................................
18:51:24 09-09-2007 18:51:24 ** 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. **
......!!!!!!!!...................................
NOTES ------->
.......................................................!!!!!!!!...................................
18:58:17 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?
......!!!!!!!!...................................
RESPONSE --> To find the area of the deck you first need the area of the entire space. A=pi*r^2 A=3.14*13^2 A=530.66 ft^2 Then you find area of the pool. A=pi*r^2 A=3.14 * 10^2 A=314 feet^2 Subtract 530.66 from 314 to get 216.66 sq feet of deck. confidence assessment: 2
.................................................
......!!!!!!!!...................................
18:58:24 09-09-2007 18:58:24 ** 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. **
......!!!!!!!!...................................
NOTES ------->
.......................................................!!!!!!!!...................................
18:58:36 005. `query 5
......!!!!!!!!...................................
RESPONSE --> ?? self critique assessment: 3
.................................................
"