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DanielleElmas [232]
3 years ago
11

Determine the radius of the circle, given the area of the sector formed by the 110 degree central angle is 50 units squared.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0
Sectors are portions of the circle which are similar to pizza slices. The area of a sector is equal to pi * r^2 * theta. Theta here is expressed in radians. Hence we convert 110 degrees to radians ( 110*pi/180) equal to 11 pi / 18. In this case, we substitute: 

50 = 11 pi /18 * (r^2) * pi
r then is equal to 2.88 units
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write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through (4,-10), parallel t
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Answer:

y + 10 = 7/8(x - 4)

or

y = 7/8x -27/2

Step-by-step explanation:

Parallel lines have the same slope. This enables that they never cross. The slope of the line y = 7/8x - 3 is 7/8. So the slope of the parallel line is also 7/8.

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y + 10 = 7/8(x - 4)

Simplify to get the equation in y = mx+b.

y + 10 = 7/8 x - 28/8

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y = 7/8x -27/2

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