The angular velocity for this problem is given by:
Angular speed = 200 rev / min
The first thing you should keep in mind is the following conversion:
1 rev = 2π radians
Applying the conversion we have:
Angular speed = 200 * (2π)
Rewriting:
Angular speed = 200 * (2 * 3.14)
Angular speed = 1256 radians / minutes
Answer:
the angular speed is:
Angular speed = 1256 radians / minutes
Answer: $41.24
Step-by-step explanation: In order to figure out how much she is away from 500 we need to first subtract the 65.99.
524.75 - 65.99 = 458.76
Then find the difference from 500 by subtracting again.
500 - 458.76 = 41.24
41.24 is the amount she needs to deposit in order to avoid a fee.
5 : 3
D1 = 3km = 3000 m (1km = 1000m)
D2 = 1800m
Ratio of D1:D2
=3000/1800
=1000/600 (dividing by 3)
=10/6 (dividing by 100)
=5/3 (dividing by 2)
= 5 : 3
The distance between any two points is:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--2)^2+(4--4)^2
d^2=8^2+8^2
d^2=64+64
d^2=128
d=√128 units
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
