Answer:
53
Step-by-step explanation:
Plugging in 32 for z, you get:
(32)/2+37=x
16+37=x
x=53
Hope this helps!
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
9 feet
Step-by-step explanation:
Given:
A prism with a triangular base has a volume of 432 cubic feet.
The height of the prism is 8.
The triangle base has a base of 12 feet.
Question asked:
The height of the triangular base of the prism = ?
solution:
Volume of triangular prism = 
Dividing both side by 8


Multiplying both side by 2

Dividing both side by 12

Thus, height of the triangular base of the prism is 9
Answer:
Step-by-step explanation: