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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

You might be interested in
How to find the volume of the cone
gavmur [86]

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula \frac{1}{3}\pi r^{2}h.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

r=\frac{d}{2}

r=\frac{6}{2}

r=3.

Then, \frac{1}{3}\pi r^{2}h

=\frac{1}{3}\times\pi \times3^{2}\times9

=\frac{1}{3}\times3.14\times9\times9 (\pi =3.14)

=\frac{1}{3} \times254.34

=\frac{254.34}{3}

=84.78 in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.

5 0
2 years ago
peggy practices her gymnastics routine for a total of 21 hours . each practice session is 1 3/4 hours . how many practice sessio
algol [13]
Peggy has 12 practice sessions

The first step is finding the unit rate. We can do this by evaluating

21/1.75 divided by 1.75/1.75.
When you divide the two, you get 12.

To check your work you do 12(1.75) and you will get 21
8 0
3 years ago
Read 2 more answers
Which expression is NOT equal to 125? (1 point)
likoan [24]
The correct answer for this question is this one: "B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power"

<span>A. 5 times the quotient 5 cubed over two-fifths, raised to the second power
B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power
C. 5 to the negative 2 over 5 to the negative 5
E. 5 times the quotient 5 to the 5 over 5 cubed</span>
3 0
2 years ago
Help me please <br> Surds
kodGreya [7K]

Answer:

12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

(4\sqrt{3} + 2\sqrt{2} )(3\sqrt{2} + 2\sqrt{5} )

Each term in the second factor is multiplied by each term in the first factor, that is

4\sqrt{3} (3\sqrt{2} + 2\sqrt{5} ) + 2\sqrt{2} (3\sqrt{2} + 2\sqrt{5} ) ← distribute both parenthesis

= 12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

7 0
3 years ago
Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer
Rina8888 [55]

Answer:Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

Step-by-step explanation:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87.

(Hope this helps!!!!)

5 0
3 years ago
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