Answer:
12 /67
Step-by-step explanation:
I added everything up to get 67 then I added independent and green together to get 12
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
31 is prime. and it’s prime factorization is just 31....
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
The angle is given to be a right angle by the red square. The right angle is intercepted by a line. One side of the whole 90 degree angle is said to be 55 degrees. Both sides should equal 90 degrees if added.
This means that to find the missing angle, you would subtract 55 degrees from 90 degrees to get 25 degrees.
Answer:
1/12 of the original amount
Step-by-step explanation:
All you need to do is multiple 1/3 (the fraction left over) by him and his friends (4).
1/3x1/4=1/12
You make 4 into 4/1 and then flip it making it 1/4 since we are dividing.
The final answer is 1/12.
