Gary is 4 years less than three times his brothers age, b. The sum of Gary and his brothers' age is 52. Write an equation to rep
1 answer:
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Answer:
- C = 21°
- a = 13.3
- c = 5.4
Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
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The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
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:
where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference
So, radius = 6.34
Now, finding central angle:
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
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