Answer:
7 rpm = 0.73 rad/s
Step-by-step explanation:
R = Radius of merry-go-round = 1.8 m
= Moment of inertia of merry-go-round = 255 kg m²
= Moment of inertia of child
ω = 9 rev/min
m = Mass of child = 24 kg
From the conservation of angular momentum

∴ New angular speed of the merry-go-round is 7 rpm = 
Answer:
AC = 21, AB = 19, and BC = 22
Step-by-step explanation:
If x is the length of AC, then:
AB = x − 2
BC = x + 1
The perimeter is the sum of all three sides:
62 = x + x − 2 + x + 1
62 = 3x − 1
63 = 3x
x = 21
Therefore:
AC = 21, AB = 19, and BC = 22
Minus 2 to all
-8<4x<4
diide by 4
-2<x<1
(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12
Hope this helps :)
Unfortunately, you haven't shared the equations from which you're supposed to choose your answer.
But we can write our own.
When will the distance traveled by the 1st car = the distance traveled by the 2nd car?
55 miles + (55 mph)x = (60 mph)x
solve this for x: 55 miles = (60-55)x mph = 5 mph
x=11 hours
The two cars are the same distance from the starting point after 11 hours.