Answer:r'=0.327 m
Step-by-step explanation:
Given

angular velocity 
mass of objects 
distance of objects from stool 
Combined moment of inertia of stool and student 
Now student pull off his hands so as to increase its speed to 3.60 rev/s


Initial moment of inertia of two masses 

After Pulling off hands so that r' is the distance of masses from stool

Conserving angular momentum








Answer:
a*b = 1/2
a/ b = 8/9
Step-by-step explanation:
a = 0.66666 and b = 0.75
To multiply it we write the decimal numbers in fraction form
a= 0.666666...
Multiply by 10 on both sides
10 a = 6.66666...
a = 0.66666...
Subtract the second equation
9a = 6
divide by 9 on both sides

so 0.6666 = 2/3
Now we convert 0.75 into fraction form

Multiply top and bottom by 100 to remove decimal

so 0.75 is 3/4
a= 2/3 and b = 3/4


513 as a percentage of 900 can be re-written as;

= 57 percent
In order of least to greatest: -5/16 , -3/8 , -0.65 , 2/4