Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by
WHERE IS THE MATH PROBLEM
Answer:
4.71
Step-by-step explanation:
Arc length = 2*pi*r-(pi*r)/2
Arc length = 3*2*(3.14)/4 = 4.71
Answer:
1300
Step-by-step explanation:
We are given
x = 35
[rate of change of price with time]
We want to find
, which is the rate at which supply is changing.
First, we need to implicitly differentiate the equation given:

Here, we have what we need except for p. We find p when x = 35:

Now, find dx/dt:

In thousands, 1.30 * 1000 = 1300 cartons per week decrease