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dybincka [34]
3 years ago
7

If a central angle of measure 30° is subtended by a circular arc of length 6 meters, as is illustrated below, how many meters in

length is the radius of the circle?
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0
30 degrees = pi/6 radians
Arc Length = (radius)(angle in radians)
               6 = (radius)(pi/6)
       radius = 36/pi or approx. 11.5 m

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If ur asking for the range it’s
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Is 21 to the square root of 2 rational or irrational
Step2247 [10]
It is equal to 21/2 which is a rational number
3 0
4 years ago
Can't you help me with this ?
erastova [34]

turn them both into fractions

10 1/2 = 21/2

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8 0
3 years ago
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 1.5 times its heig
dezoksy [38]

Answer:

5.54 feet.

Step-by-step explanation:

Let h be the height of the pool and r be the radius of the pool.

We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.

We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:

r=1.5*h...(1)

\text{Volume of cylinder}=\pi r^2h

Substituting equation (1) in volume formula we will get,

\text{Volume of cylindrical pool}=\pi (1.5h)^2*h

Substituting the given volume of pool in formula we will get,

1200=\pi (1.5h)^2*h

1200=\pi*2.25*h^2*h

1200=\pi*2.25*h^3

Let us divide both sides of our equation by 2.25 pi.

\frac{1200}{2.25\pi}=\frac{\pi*2.25*h^3}{2.25\pi}

169.7652726=h^3

Let us take cube root of both sides of our equation.

\sqrt[3]{169.7652726}=h

5.537=h

h=5.537\approx 5.54

Therefore, the height of the pool is approximately 5.54 feet.

6 0
3 years ago
What is the slope of the line passing through the points (1, 2) and (5, 4)? A .−2 B.12 C.1 D.2
LekaFEV [45]

Answer:

B, 1/2

Step-by-step explanation:

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<em>I hope this helps! :)</em>

3 0
3 years ago
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