Question

Jerry's CD player can hold five compact disks on a rotating tray around point A. The CD tray can move only counterclockwise. Answer the following questions: (a) How many degrees does the tray rotate from one position to the next? (b) How many degrees will the tray rotate to play a CD in position 4 if the starting position is position 1?

Answer 1

(a) 72 degrees

(b) 216 degrees

Let em know if you don't get how I answered either.

Explanation:

So, to go all the way around is 360 degrees since there are 360 degrees. that means it turns 5 times for the beginning cd to be at the start again. So in 5 equal turns it goes 360 degrees. We want to know how much 360 is divided into 5 groups, or 360/5 = 72.

You can think of it this way, if it turns 72 degrees five times, it will have gone a full 360. that answers a though, each switch to another CD is 72 degrees.

b is asking how many degrees is it to go from 1 to 4. so how many movements is that? 1 to 2, 2 to 3 then 3 to 4. So 4. could have done 4-1 of course. anyway. 3 movements each 72 degrees is 72*3 = 216.