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tatuchka [14]
3 years ago
8

An object travels around a circle of radius r with constant speed. If s is the distance traveled in time t around the circle and

theta is the central angle​ (in radians) swept out in time​ t, then the linear speed of the object is vequals​_____ and the angular speed of the object is omegaequals​______.
Mathematics
1 answer:
Alex3 years ago
4 0

Answer with Step-by-step explanation:

We are given that

Radius of circle=r

Total distance traveled =s

Time=t

Central angle=\theta rad

We know that

Linear speed,v=\frac{distance}{time}

Using the formula

Therefore, v=\frac{s}{t}

Angular speed,\omega=\frac{Angular\;displacement}{time}

By using the formula

\omega=\frac{\theta}{t} rad/s

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From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angl
eimsori [14]

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

8 0
3 years ago
Leon measured the distance each of his four toy cars rolled across the floor. Which car measurement that has a 4 in the thousand
Kobotan [32]
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8 0
3 years ago
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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Answer 21 &amp; 22 for BRAINLIEST
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I believe that 21 is d 27 over 17
I believe that 22 is d because 16 divided by 3.20 is 5
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I hope this helps you
4 0
3 years ago
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