Answer: 1/36
Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.
If y=mx+b,

You can't differentiate a constant, so dy/dx=m.
Answer:
Step-by-step explanation:
<u>It is assumed the angles A and C are congruent:</u>
- 3x + 40 = x + 50
- 3x - x = 50 - 40
- 2x = 10
- x = 5
m∠A = 3*5 + 40 = 55°
Answer:
lets use what we know.
given lengths are: 6, 3, 6, and 15.
We need to split the right triangle from the small little rectangle.
Now we add the lengths of the triangle to get the full length:
6 + 6 = 12
now we need to find the base:
15 - 3 = 12
Now we get our area of the triangle:
12 x 12 = 144
144 divided by 2 = 72
Now the small rectangle's area:
6 x 3 = 18
Add both of their areas to get:
72 + 18 = 90 ft2