The volume
of a cone with base radius
and height
is
![V_c = \dfrac{1}{3}\pi r_c^2 h_c](https://tex.z-dn.net/?f=V_c%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r_c%5E2%20h_c)
Similarly, the volume
of a sphere with radius
is
![V_s = \dfrac{4}{3}\pi r_s^3](https://tex.z-dn.net/?f=V_s%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r_s%5E3)
We know that
and that ![h_c=96](https://tex.z-dn.net/?f=h_c%3D96)
So, we can set up the following equation:
![\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3](https://tex.z-dn.net/?f=%5Cdfrac%7B96%7D%7B3%7D%5Cpi%20r_c%5E2%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r_s%5E3)
We can simplify the common denominator 3, and pi appearing on both sides:
![96r_c^2=4r_s^3](https://tex.z-dn.net/?f=96r_c%5E2%3D4r_s%5E3)
We can divide both sides by 4:
![24r_c^2=r_s^3](https://tex.z-dn.net/?f=24r_c%5E2%3Dr_s%5E3)
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Since the problem is not concerned about the order of choosing the captain, the concept used is the combination. From 8 players, 2 are to be chosen,
8C2
The numerical value of the combination is 28. Thus, the answer is letter B.
1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4
the coordinates are (0,4) and (4,4)
2) to calculate the average rate of change, find the slope of the two points:
(0,4) (4,4)
(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4
0/4 = 0
the average rate of change is 0!
3(x - 25) < $100. We're not req'd to solve this.
Answer:
square root of 25=5 and square root of (x+9)=(x+9) so the answer is.... x+9=+-5
Step-by-step explanation: