The volume of a sphere:
r - the radius
The diameter is twice the radius.
![d=36 \ in \\ r=\frac{36}{2} \ in = 18 \ in \\ \\ V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]](https://tex.z-dn.net/?f=d%3D36%20%5C%20in%20%5C%5C%0Ar%3D%5Cfrac%7B36%7D%7B2%7D%20%5C%20in%20%3D%2018%20%5C%20in%20%5C%5C%20%5C%5C%0AV%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%2018%5E3%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%205832%3D%5Cfrac%7B23328%7D%7B3%7D%20%5Cpi%3D7776%5Cpi%20%5C%20%5Bin%5E3%5D)
The exact volume of the sphere is 7776π in³.
Answer:
Maylin should purchase one unit of each socks & jogging shorts.
Step-by-step explanation:
In case of two goods, consumer is at equilibrium when marginal utility per dollar spent on last unit of the goods are equal, ie MU 1 / P1 = MU 2 / P2 (MU are the marginal utilities / marginal benefit of two goods, P are the price of two goods)
Given : MU1 (So) = 20, MU2 (JSh) = 30, P1 (So) = 10, P2 (JSh) = 15
So, equilibrium is at where MU1 (So) / P1 (So) = MU2 (JSh) / P2 (Jsh)
20/10 = 2, & 30/15 = 2. MU's per dollar are equal for both.
So Maylin is in equilibrium, she should purchase one unit of each socks & jogging shorts.
Answer:
15= 3/4
Step-by-step explanation:
angle A = 30
(2x-9) = (2x+21)
+9 +9
2x=2x+30
-2x -2x
=30
The answer should be 2.5, because you are cutting the value that they gave you in half
