So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

$\frac{17}{3} = (angle)\frac{3}{\pi }$

Multiply by pi to get:

$\frac{17\pi }{3} = 3(angle)$

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0

3 years ago

Which expresión represents, five times the quotient of two numbers?

MAXImum [283]

Let the numbers be m and n. Then "<span>five times the quotient of two numbers" would be 5m/n.

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6 0

3 years ago

Expand and simplify 4(2x+3)+4(3x+2)

REY [17]

8x+12+12x+8
20x+20
The final answer is 20x+20

6 0

3 years ago