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.
The answer is x=3; i did the work below
We are given a rectangle ABCD
A(-2, 3)
B(4, 6)
We are asked to find the slopes of sides BC, CD, and DA.
Let me first draw a rectangle to better understand the problem
Recall that the slope is given by
So the slope of side AB is
The sides BC and DA are perpenducluar to the side AB.
So their slopes will be
Substituting the value of slope of AB
The side CD is parallel to the side AB.
Parallel sides have equal slopes so
Therefore, the slopes of the rectangle ABCD are
Answer:
The best prediction is that 45 people will like the clothing store the best.
Step-by-step explanation:
The total amount of people starts at 50. It then increases to 125. To get to 125, 50 must have been multiplied by 2.5. Therefore, we will also multiply the number of people who favor the clothing store, 18, by 2.5. 18 x 2.5 = 45.
Answer:
the hypothesis is that the animal is a poodle. the conclusion is that since poodles are of the canine family, it would be a dog.
