a carousel has eight evely spaced seats shaped like animals. During each ride, the carousel makes between 8 and 9 clockwise revolutions. At the end of one ride, the carousel stops so that the lion is in the position where the zebra was when the ride started. through how many degrees did the carousel rotate on this ride
depends on the positions of the two named animals.
It will between 8*360 and 9*360 degrees
To find out how many degrees the carousel rotated on this ride, we need to determine the angle between the lion and the zebra on the carousel.
Since the carousel makes between 8 and 9 clockwise revolutions, we can assume that it makes 8.5 revolutions on average.
Each revolution is equal to 360 degrees (a full circle), so 8.5 revolutions would be 8.5 * 360 = 3060 degrees.
Since there are 8 evenly spaced seats on the carousel, the angle between each adjacent animal would be 360 divided by 8 = 45 degrees.
Now we need to find the number of positions the lion moved from the starting position. If the lion is in the position where the zebra was when the ride started, it means the lion moved 1 position clockwise from the starting position.
Therefore, the carousel rotated by 1 * 45 = 45 degrees on this ride.
To find the number of degrees the carousel rotated on this ride, we need to determine the number of degrees per revolution and the number of revolutions the carousel made.
1. Determine the number of degrees per revolution:
Since a full circle has 360 degrees, each revolution of the carousel represents a rotation of 360 degrees.
2. Determine the number of revolutions:
We know that the carousel makes between 8 and 9 clockwise revolutions during one ride. Therefore, the number of revolutions could be either 8 or 9.
3. Calculate the total number of degrees the carousel rotated:
To do this, we multiply the number of revolutions by the number of degrees per revolution.
If the carousel made 8 revolutions:
Degrees = 8 revolutions * 360 degrees/revolution = 2880 degrees
If the carousel made 9 revolutions:
Degrees = 9 revolutions * 360 degrees/revolution = 3240 degrees
So, the carousel rotated either 2880 degrees or 3240 degrees on this ride.