Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
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
I am pretty sure that it would be 20 sq. inches( if not correct, check on the internet and you will probably get the correct answer.)
Answer:
π4;3π4
Step-by-step explanation: Trig table gives:
sinx=√22 --> arc x=π4
Unit circle gives another arc x that has the same sin value:
x=π−π4=3π4
Answer:
$28.95
Step-by-step explanation:
$14.85 + 15.90= 20.75 + 8.20= 28.95
100+30=130
100+40=140
online price is 130% or original
superstore price is 140% or original
the difference bewteen them is 140-130=10% of the original price
A. 1.3 times 160=208=online
1.4 times 160=224=superstore
B. difference is 224-208=16=10% of 160
it is 10% of the original price
A. online=$208
superstore=$224
B. $16, this is 10% of the original price
