Answer:
Diameter = 12 ft.
Step-by-step explanation:

Hope this helps!
(::)
brainliest?
Answer:
a=9.641, b=11.49
Vector will be 9.641 i + 11.49 j
Step-by-step explanation:
We have given that vector V has the magnitude of 15
And it makes an angle of 50
with positive x axis
Now let the x component of vector V is a and y component of vector V is b
So 

In vector form 9.641 i+11.49 j
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism
For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid
The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.
15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.