Answer:
x=28
Step-by-step explanation:
-7(3+6x)=9(-5x+7)
-21-42x=-45x+63
-21-42x-(-45x)=63
-21-42x+45x=63
-21+3x=63
3x=63-(-21)
3x=63+21
3x=84
x=84/3
x=28
Given:
The radius, r=4x
The height,

To find the volume of the cone:
The volume of the cone formula is,

Substitute the values of r and h in the above formula we get,

Hence, the volume of the cone is

Thus, the correct option is option D.
Answer:
The rectangular 5 x 10 table.
Step-by-step explanation:
To find which table the office manager needs to get so he can sit more people at it is decided by one factor, the perimeter. The rectangular one, which is 5 x 10 the perimeter is (5 x 2) + (10 x 2) = 10 + 20 = 30. The circular one can be calculated by the equation
where d = 8. Putting
x 8 in my calculator and it comes out approximately at 25.132, having a less amount of perimeter space to work with, making the rectangular table the way to go.
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1)
, where c is the circumference of a circle and d is its diameter
(2)
, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3)
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4)
, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

We can now substitute c for our circumference, 65, to get our answer in terms of π:

Answer:
333 meters per second
Step-by-step explanation: