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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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Answer:

21\pi cubic meters per hour

Step-by-step explanation:

We know that the surface area of a sphere is,

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Where,

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We have, A = 36\pi square meters,

36\pi = 4\pi r^2

9 = r^2

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Now, differentiating equation (1) with respect to t ( time ),

\frac{dA}{dt} = 8\pi r\frac{dr}{dt}

We have,

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14\pi = 8\pi (3) \frac{dr}{dt}

\frac{14}{24}=\frac{dr}{dt}

\frac{7}{12} = \frac{dr}{dt}

Also, the volume of a sphere is,

V = \frac{4}{3}\pi r^3

Differentiating with respect to t(time)

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

By substituting the values,

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Hence, the rate of change of the volume of the sphere at that instant would be 21\pi cubic meters per hour

7 0
3 years ago
2x-2=10x+ 20<br> How do I solve for x
kramer

Answer:

16

Step-by-step explanation:

2x -2 = 10 + 20

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x = 32/2 = 16

Plug this in, too.

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5 0
3 years ago
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Vaselesa [24]

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Step-by-step explanation:

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8 0
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svlad2 [7]
21.4588336899833357889
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