Solution -
The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.
If the length of side of the cibe = a , then radius of the sphere is 
Volume of the cube = a³, volume of the sphere =
π(radius)³ =
π(
)³
volume of the cube outside the sphere = volume of the cube - volume of the sphere
=
π(
)³
= 
=a³(1 -
)
Answer: x=56°
The opposite angle of 56° and the opposite angle of ∠x are alternate angles.
<span>You are given the price of the house worth $190,300 and about 30% down payment of the price is paid with a 15 – year loan at 5.75% interest. You will use annuity due in this problem. His monthly mortgage payment is $5,468.1</span>
Answer:
Step-by-step explanation:
g(f(x)) = g(f(x)) +3(-5x +5 ) +8
= -15x + 15 + 8
= -15x + 23