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DIA [1.3K]
3 years ago
13

The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel

ect the correct option below
Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:  r = C/(2pi)

This is the same as writing r = \frac{C}{2\pi}

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

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lbvjy [14]
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ANTONII [103]

The inequality that represents the graph in the box  is

y>-3x+6

Given :

The graph of the linear inequality

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Slope intercept form of the equation is

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Where m is the slope and b is the y intercept

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we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372

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3 years ago
Please solve with explanation (high points)
Hunter-Best [27]

Step-by-step explanation:

so, we have a large triangle made of the 2 cables as legs and the ground distance AB as baseline.

the tower is the height to the baseline of that large triangle.

let's call the top of the tower T.

and remember, the sum of all angles in a triangle is always 180°.

we know the angle A = 62°, and angle B = 72°.

assuming that AB is a truly horizontal line that means that the 2 legs (cables) have different lengths, the triangle is not isoceles, and the tower is not in the middle of the baseline.

so, the height (tower) splits the baseline into 2 parts. let's call them p and q.

p + q = 12 m

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let's simply define that p is the part of the baseline on the A side, and q is the part of the baseline on the B side.

we have now 2 small right-angled triangles the large height (tower) splits the large triangle into.

one has the sides

AT, height (tower), p

angle A = 62°

angle T = 180 - 90 - 62 = 28°

the other has the sides

BT, height (tower), q

angle B = 72°

angle T = 180 - 90 - 72 = 18°

now remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

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p/sin(28) = height/sin(62)

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we know from above that

p = 12 - q

so,

(12 - q)/sin(28) = height/sin(62)

height = (12 - q)×sin(62)/sin(28)

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and therefore, as height = height we get

(12 - q)×sin(62)/sin(28) = q×sin(72)/sin(18)

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12×sin(62)×sin(18) - q×sin(62)×sin(18) =

= q×sin(72)×sin(28)

12×sin(62)×sin(18) = q×sin(72)×sin(28) + q×sin(62)×sin(18) =

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q = 12×sin(62)×sin(18) / (sin(72)×sin(28) + sin(62)×sin(18))

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the cell tower is about 14 m tall.

7 0
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