Answer:
Just under 62 inches.
Step by Step:
4.9×2×Pi= 30.7876080052. x2= 61.5752160104
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
I hope this helped, have a nice day
Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be
, the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test

Let equalize the resulting expression to zero and solve afterwards:


Second Derivative Test

This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:


The maximum sustainable yield is 202500 swordfishes.
4x - 13 = 2x + 9
Add 13 to each side
4x = 2x + 22
Subtract 2x from both sides
2x = 22
Divide both sides by 2
x = 11