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LekaFEV [45]
3 years ago
15

A wheel is rotating at 3 radians/sec, and the wheel has a 42-inch diameter. To the nearest foot per minute, what is the linear s

peed of a point on the rim?
Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0

A point on the rim would travel a distance equal to the circumference of the wheel. The wheel has diameter 42 in, so the circumference is 42π in.

2π radians corresponds to one complete revolution of the wheel. So the wheel has a linear speed of

(3 rad/s) * (42π/2π in/rad) = 63 in/s

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Jobisdone [24]
Its called a variable
7 0
3 years ago
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

------------

9

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0
3 years ago
Solve for f: −5f=20<br> 30 POINTS TO SOMEONE WHO HELPS
zloy xaker [14]

Answer:

\huge\boxed{\sf f = -4}

Step-by-step explanation:

\sf -5f = 20\\\\Dividing\ both\ sides\ by\ -5\\\\\frac{-5f}{-5} = \frac{20}{-5} \\\\f = -4

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
7 0
3 years ago
Gcantiga44 Help please. I need help.
Hunter-Best [27]

1st scenario - 0.82x

2nd scenario - 1.18x

3rd scenario - 3/10x

4th scenario - 13/10x

7 0
3 years ago
Read 2 more answers
A radio station had 100 tickets to a concert. They gave away 3thimes as many tickets to listeners as to employees. How many tick
natali 33 [55]

Answer:

They gave away 75 tickets to the listeners and 25 to the employees.

Step-by-step explanation:

If you think about it the function for this would be f(x)=3x+x=100.

3x is the listeners while x is the employees. A simplified version of solving this is doing 100/4 and then 25 times 1 is 25, which is the number of tickets to emplyees.

5 0
3 years ago
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