If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!
the angular speed is theta/time, which means
w=theta/time
but another formula for it is Velocity*radians
w=velocity*radians
velocity is 180 mph and radians are (revolution/2

radius), that is:
w=180*(1/2

*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
Answer:
$32
Step-by-step explanation:
A sum of money is divided in the ratio 2:3:7.
Let the share of each individual be represented by 2x,3x,7x respectively.
The largest share (7x) is given as $112.
![\[7x = 112\]](https://tex.z-dn.net/?f=%5C%5B7x%20%3D%20112%5C%5D)
![\[=>x = \frac{112}{7}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5D)
![\[=>x = 16\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%2016%5C%5D)
So the respective shares are ![\[2\times16,3\times16,7\times16\]](https://tex.z-dn.net/?f=%5C%5B2%5Ctimes16%2C3%5Ctimes16%2C7%5Ctimes16%5C%5D)
In other words, the shares are 32,48,112.
So the smallest share is $32
Answer:
You are incorrect the answer is 3 1/4
(3x19.95+23.5+124.95)1.05=
59.85+23.5+124.95 =208.3
208.3×1.05=218.715