Which of these numbers differs from 7077 by a multiple of 360?
4917 = 7077 - 6*360
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.
2 answers
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
2 answers