Question
A spinner turns 7077 degrees. The spinner would have ended up at the same spot if it had turned only:
a) 77 degrees.
b) 2197 degrees.
c) 4377 degrees.
d) 4917 degrees.
e) 5537 degrees.
a) 77 degrees.
b) 2197 degrees.
c) 4377 degrees.
d) 4917 degrees.
e) 5537 degrees.
Answers
oobleck
Which of these numbers differs from 7077 by a multiple of 360?
4917 = 7077 - 6*360
4917 = 7077 - 6*360
Reiny
each rotation is 360°
7077/360 = 19.65833...
so we have 19 full rotations and .658333.... of a rotation
2197/360 = 6.102.... , not the same decimal
4377/360 = 15.158... , no
4917/360 = 13.658333.. , ahhh, the same decimal
5537/360 = 15.38... , no
So it looks like 4917° ends up in the same place
7077/360 = 19.65833...
so we have 19 full rotations and .658333.... of a rotation
2197/360 = 6.102.... , not the same decimal
4377/360 = 15.158... , no
4917/360 = 13.658333.. , ahhh, the same decimal
5537/360 = 15.38... , no
So it looks like 4917° ends up in the same place