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Eva8 [605]
3 years ago
8

Trigonometry: Angles and Length Escape Room (level 3)

Mathematics
1 answer:
Andre45 [30]3 years ago
6 0

Answer:

A -) E -) I -) F -) C -) H -) K -) Escape!

Step-by-step explanation:

I calculated it, so shouldn't be wrong but tell me if it is.

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you are riding a bicycle which has tires with a 25-inch diameter at a steady 15-miles per hour, what is the angular velocity of
motikmotik

Answer:

The angular velocity is 6.72 π radians per second

Step-by-step explanation:

The formula of the angular velocity is ω = \frac{v}{r} , where v is the linear velocity and r is the radius of the circle

The unit of the angular velocity is radians per second

∵ The diameter of the tire is 25 inches

∵ The linear velocity is 15 miles per hour

- We must change the mile to inch and the hour to seconds

∵ 1 mile = 63360 inches

∵ 1 hour = 3600 second

∴ 15 miles/hour = 15 ×  \frac{63360}{3600}

∴ 15 miles/hour = 264 inches per second

Now let us find the angular velocity

∵ ω = \frac{v}{r}

∵ v = 264 in./sec.

∵ d = 25 in.

- The radius is one-half the diameter

∴ r = \frac{1}{2} × 25 = 12.5 in.

- Substitute the values of v and r in the formula above to find ω

∴ ω = \frac{264}{12.5}

∴ ω =  21.12 rad./sec.

- Divide it by π to give the answer in terms of π

∴ ω = 6.72 π radians per second

The angular velocity is 6.72 π radians per second

3 0
3 years ago
Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 + x - 12 = 0
nignag [31]
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3 0
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Find the supplementary angle.<br> 4. 80°<br> 5. 65°<br> 6. 34°
erastova [34]

Answer:

In a supplementary angle the angle is 360°

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Step-by-step explanation:

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= 8x - 6.

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Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

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