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lilavasa [31]
3 years ago
5

A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e

dge of the wheel? 4π 8π
Mathematics
2 answers:
Alex3 years ago
3 0

Answer:

v=\dfrac{\pi}{2}\ ft/s

Step-by-step explanation:

Given that,

A wheel with radius 1 foot makes 1 revolution in 4 seconds

We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

v=r\omega

Where

\omega is angular velcocity,\omega=2\pi\ rad

\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s

So

v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s

So, the linear velocity of the wheel is equal to \dfrac{\pi}{2}\ ft/s.

Radda [10]3 years ago
3 0

Answer:

pi/2

B

Step-by-step explanation:

Got it right on EG

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Answer:

b

Step-by-step explanation:

6 0
4 years ago
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Help ASAP ill give you brainlist. but explain
Lyrx [107]

Answer:

b, 45

Step-by-step explanation:

The spinner shown has eight congruent sections. The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

Before I begin, let's go over probability.

The probability of an event is: (the number of ways something can happen) / (total number of outcomes possible). So, for example, the probability of rolling a one on a die can be found like:

There is 1 way to roll a one, and 6 possible sides, so the probability is 1/6.

And, if we were to roll the die 60 times, we could expect about 1/6 of the times to be a one, so we should expect a one to be rolled 1/6 * 60 = 10 times.

Now, onto the problem.

Each portion is congruent (they all have the same area). Thus, there is a 1/8 chance of landing on 1, a 1/8 chance of landing on 9, etc.

5 sections are odd, while 3 sections are even. So, the chance of landing on an even number is:

(3 ways to land on an even number) / (8 possible outcomes) = 3/8

If there is a 3/8 possibility to land on even, and there are 120 outcomes, we can say that an even number statistically should be rolled 3/8 * 120 times.

3/8 * 120 = 45

Thus, the answer is b, 45 times

Just in case, let's check the answer by finding the number of times we should roll an odd number and adding it to the number of even times and if it adds up to 120, then the answer is correct.

Because there is a 5/8 chance of getting an odd number, there should be about 5/8 * 120 = 75 times that an odd number is spun.

75 + 45 = 120, so the answer is correct.

I hope this helps! Feel free to ask any questions!

4 0
3 years ago
Which situation is best modeled by the inequality v ≥ 18?
stealth61 [152]
You must be at least 18 years old to vote.
5 0
4 years ago
Read 2 more answers
An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (
romanna [79]

Answer:

The correct option is;

17,202 feet

Step-by-step explanation:

The distance from the observer to the bird is given as 21,000 ft

The angle between the line of flight of the bird to the horizontal line from its nest = 35°

With the triangle BNO = A right triangle, we have;

The distance of the bird from its nest = Adjacent leg of the right triangle

The distance of the observer from the bird = Hypotenuse length

Which by trigonometric relations gives;

cos(35 ^{\circ} )= \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = \dfrac{Distance\ of  \ bird \ from \ its \ nest}{21,000}

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.

6 0
4 years ago
The sales tax on a $350 computer is $ 22.75. find the sales tax rate.
likoan [24]

Set up an equation to solve for the tax rate, x:

350(x) = 22.75\\x = \frac{22.75}{350}\\x = 0.065\\x = 6.5%


We can conclude that the tax rate on the computer was 6.5 percent.

7 0
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