Answer:
d. 18
Step-by-step explanation:
g(x)=3x-3
3(7)-3
21-3
=18
Tanα=h/x, tanß=h/(x+88)
solving both for x
x=h/tanα, x=h/tanß-88, since x=x
h/tanα=h/tanß-88
h/tanß-h/tanα=88
(htanα-htanß)/(tanα*tanß)=88
h(tanα-tanß)/(tanα*tanß)=88
h=88(tanα*tanß)/(tanα-tanß)
Since α=32 and ß=22...
h=88(tan32*tan22)/(tan32-tan22)
h≈85.3 feet
We will see that the cube must be 10.23 inches tall.
<h3>
How tall is the cube?</h3>
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Step-by-step explanation:
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