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:
false
Step-by-step explanation:
the only difference is the fact that it was reflected over the y-axis. the size of the triangle was not altered. the triangles are the same size, just different locations.
Step-by-step explanation:
The formula for finding the area of a trapezoid is
×h
Start by substituting the values given in the problem into the formula
×4
Now Simply/solve
×4
6×4
24
The area of the trapezoid is 24
I hope this helps!!!
Answer: 90
Step-by-step explanation:
Answer:
The percentage decrease from the first week to the third week is 25 %
Step-by-step explanation:
The number of popcorn bags sold on the first week = 500 bags
The second week, they sell 50% more than the first week
So, the number of bags sold on the second week is
= 500 + 50% of 500
=
= 
= 500 + 250
= 750 bags
The third week, they sold 50% less than the second week
So, the number of bags sold on the third week is
= 750 - 50% of 750
= 
= 
= 750 - 375
= 375 bags
Now the percentage decrease from the first week to the third week is
=
= 
= 
= 25 %