Find the radius, r, if the circumference is 10π. Formula C = 2πr

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

5 0

10π=2πr
Divide both sides by 2π
10π/2π=r
Simplify
5=r

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Please help! Thank you!

Alexeev081 [22]

Just incase u need the work. Its C.
Area of entire circle = (pi)(r^2) and r = d/2:
A =(3.142)((3.2^2) = 32.17m^2 
Portion of circle in sector: 
185degrees/360degrees = 0.514 
Multiply: 
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3 years ago

What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?

Alenkinab [10]

<h3>Answer: (-4, 8)</h3>

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Explanation:

The 90 degree counterclockwise rotation rule we use is

$(x,y) \to (-y,x)$

the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.

After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.

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Extra info (optional section):

Define the following three points

A = (0,0)

B = (8,4)

C = (-4,8)

Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.

Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.

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To win the Power Ball, you must pick the right group of 5 balls numbered 1 through 59 without repetitions and choose the right P

sattari [20]

Without repetion
1/(59*58*57*56*55+35)=1/600,766,355

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the interest earned on an account varies directly with the balance in the account. if an account with a balance of $200 earns $1

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Answer:

$\$31.25$