Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) Given
2) Definition of Congruence
3) Segment Addition Postulate
4) Substitution Property
5) Transitive Property
6) Subtraction Property (of Equality)
7) Definition of Congruence
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185