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1 answer:
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Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
=
( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = ≈ 7.8 ( to the nearest tenth )
The missing figure is attached down
The length around the outside of the track is about 431 feet
Step-by-step explanation:
A running track has the shape of a rectangle capped with a semicircle on each end
- The track is 80 feet wide
- The rectangular portion of the track is 90 feet tall
We need to estimate the length around the outside of the track
The length of the outside the track is the length of two semi-circle and two straight lengths of the rectangle
∵ The track is 80 feet wide
- From the figure the width of the track is the diameter of the
semi-circles
∴ The diameter of each semi-circle = 80 feet
∵ The radius of a circle is half its diameter
∴ The radius of each semi-circle = × 80 = 40 feet
∵ The length of a circle = 2πr
∴ The length of a semi-circle = πr
∴ The length of two semi-circle = 2 × πr
- Substitute r by 40
∴ The length of two semi-circle = 2 × π(40) = 80π feet
∵ The rectangular portion of the track is 90 feet tall
∴ The length of the rectangle = 90 feet
∴ The two straight parts of the track = 2 × 90 = 180 feet
- Add the length of the two semi-circles and the two straight
parts to find the length of the track
∵ Length of the track = 80π + 180
- Substitute π by 3.141
∴ Length of the track = 80(3.141) + 180
∴ Length of the track = 431.28 ≅ 431 feet
The length around the outside of the track is about 431 feet
Learn more:
You can learn more about the circle in brainly.com/question/1952668
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