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Ahat [919]
3 years ago
15

Given that when x is reduced by 17% the answer is y, express x in terms of y.

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0
X - 0.17 = y
 
add 0.17 to both sides

x = y + 0.17
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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
  • brainly.com/question/2115496
  • brainly.com/question/10610299

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3 years ago
If mAB = 30° and mCD = 110°, find mLE.
umka21 [38]

Answer:

40

Step-by-step explanation:

Use the Outside Angles Theorem,

\frac{110 - 30}{2}  = 40

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Step-by-step explanation:

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