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Verizon [17]
3 years ago
6

Convert 3.5revolutions to radians.

Physics
2 answers:
olga55 [171]3 years ago
8 0

As we know that

1 revolution = 2\pi radian

now we know that

3.5 revolution = 3.5 rev\times \frac{2\pi rad}{1 rev}

3.5 rev = 21.98 rad

so it is 21.98 radian

maw [93]3 years ago
7 0
<h2>Answer:</h2>

<u>The right answer is </u><u>21.98 rad </u>

<h2>Explanation:</h2>

You can see that  

2 π radians becomes one revolution when you use the arc length formula:

s=rθ

Let  

θ =2π . That means:

s =C=2πr

By putting the values and solving we get 21.98 radians

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5.
Kamila [148]

Answer:  (x - 4)² + (y - 7)² = 9

<u>Explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²    where

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  • r is the radius

Given: (h, k) = (4, 7)

Find the intersection of the given equation and the perpendicular passing through (4, 7).

3x - 4y = -1

     -4y = -3x - 1

        y=\dfrac{3}{4}x-1

              m=\dfrac{3}{4}      -->      m_{\perp}=-\dfrac{4}{3}

y-y_1=m_{\perp}(x-x_1)\\\\y-7=-\dfrac{4}{3}(x-4)\\\\\\y=-\dfrac{4}{3}x+\dfrac{16}{3}+7\\\\\\y=-\dfrac{4}{3}x+\dfrac{37}{3}

Use substitution to find the point of intersection:

x=\dfrac{29}{5}=5.8,\qquad y=\dfrac{23}{5}=4.6

Use the distance formula to find the distance from (4, 7) to (5.8, 4.6) = radius

r=\sqrt{(5.8-4)^2+(4.6-7)^2}\\\\r=\sqrt{3.24+5.76}\\\\r=\sqrt9\\\\r=3

Input h = 4, k = 7, and r = 3 into the circle equation:

(x - 4)² + (y - 7)² = 3²

(x - 4)² + (y - 7)² = 9

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