Answer:

Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x----> corresponding side of the larger trapezoid
y----> corresponding side of the smaller trapezoid

we have


substitute

step 2
Find the area of the larger trapezoid
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x----> area of the larger trapezoid
y----> area of the smaller trapezoid

we have


substitute



Answer:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Step-by-step explanation:
For this case we have the following function for the profit:

And we can rewrite this expression like this:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Answer:
The only reason mathematics is admirably suited describing the physical world is that we invented it to do just that. It is a product of the human mind and we make mathematics up as we go along to suit our purposes. ... Mathematics is not discovered, it is invented.
Step-by-step explanation:
3264 and 16,415
Step-by-step explanation:
136 x 24= 3264
245 x 67 = 16,415
Answer:
12.56
Step-by-step explanation:
C= 2 x 3.14 x 2
(the other 2 is half of the circumference)