Answer:
r= 0.08 ft
Step-by-step explanation:
C= $500 per cubic foot
S=$20 per square foot of surface area
We know that
Profit = Selling price - Manufacturing price
P = S - C
Lets take r is the radius of sphere
Surface area ,A= 4πrr²
Volume ,V= 4πr³/3
P = S - C
P = 20 x 4πr² - 500 x 4πr³/3
For maximize the profit
dP/dr = 0
P = 20 x 4πr² - 500 x 4πr³/3
dP/dr = 160 πr - 2000 πr²
160 πr - 2000 πr² = 0
160 - 2000 r = 0
r= 0.08 ft
d²P/dr² = - 4000 πr
d²P/dr² is negative at all value of r that is why at r=0.08 ft ,it is maximum.
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the formula of one of the triangular sections
From the attachment, we have that:
The area of the triangle is:
<u>How to know the formula works?</u>
From the attachment, we can see that the rectangle is divided into two equal triangular sections.
The area of the rectangle is:
Because the rectangle is divided into two equal triangular sections.
This implies that, the area of one of the triangular sections is half the area of the rectangle.
So:
Substitute LB for the area of the rectangle
By comparison:
and are the same
Answer:
it s A
Step-by-step explanation:
if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten
Brianliest plz thanks
Answer: x=32, y=45, z=45
Step-by-step explanation:
Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.
Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.
3.13 dollars because you would mutiply 3 by 0.0044 and get .132 round it than add it to 3 dollars!