Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third) is 300pi.
Answer:
the complete question is found in the attachment
1) D. hyperbolic paraboloid
2)C. elliptic paraboloid
3)E. cone
4)F. hyperboloid.
Step-by-step explanation:
The complete explanation is found in the attachment
So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.
Answer:


Step-by-step explanation:
Let's begin with the mass definition in terms of density.

Now, we know the limits of the integrals of x and y, and also know that ρ = ky², so we will have:

Let's solve this integral:



So the mass will be:

Now we need to find the x-coordinate of the center of mass.





Now we need to find the y-coordinate of the center of mass.








Therefore the center of mass is:

I hope it helps you!
We know that
A barber shop produces 96 haircuts a day----------> <span>8 hours per day
so
96/8--------> 12 haircuts per hour
if </span><span>if the shop's productivity is 2 haircuts per hour of labor
then
12/2---------> 6 </span><span>barbers
the answer is
6 </span><span>barbers</span>