Answer:
addition of 254 to both side
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
The last set (choice D) is a subset of given set B.
The other 3 choices are wrong.
Answer: height = 6, radius = 8, Volume = 401.92
Explanation:
Height = 6 given
Find radius:
Use Pythagorean’s theorem to find the side of the right triangle:
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8
And since length b is also the radius of the circle then radius = 8
Find volume:
V = pi x r^2 x h/3
V = 3.14 x 8^2 x 6/3
V = 3.14 x 64 x 2
V = 401.92