Answer:
Math = **** ** *** and ****
Answer:
35 different selections of soundtracks are possible
Step-by-step explanation:
Total number of soundtracks available at the store = 7
Enny decides to purchase 3 movie soundtracks.
So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.
In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.
So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:
![^{7}C_{3}](https://tex.z-dn.net/?f=%5E%7B7%7DC_%7B3%7D)
The general formula for combinations is:
![^{n}C_{r}=\frac{n!}{r!\times(n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7DC_%7Br%7D%3D%5Cfrac%7Bn%21%7D%7Br%21%5Ctimes%28n-r%29%21%7D)
Using the values, we get:
![^{7}C_{3}=\frac{7!}{3!\times(7-3)!} =35](https://tex.z-dn.net/?f=%5E%7B7%7DC_%7B3%7D%3D%5Cfrac%7B7%21%7D%7B3%21%5Ctimes%287-3%29%21%7D%20%3D35)
This means, Enny can make 35 different selections of soundtracks.
1. Know that: (1) in 28 miles, there are 147,840 ft because 28*5280, (2) radius is 7/6 because that is (2 1/3)/2, (3) C=2(pi)(7/6) or pi*7:3
2. To find revolutions per minute, you take 147,840 and divide it by the circumference to get revolutions per hour, which is about 20168.11439. Then, divide this by 60 to find revolutions per minute: 336.1352398 revolutions/min.
3. Then, to find the angular measure in radians you take the revolutions per minute and multiply it by 2pi.
Answer:
Step-by-step explanation:
math