Diana has a pentagonal garden with the dimensions shown in the diagram. What is the area of Diana’s garden?
1 answer:
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Answer:
D. 70.53
Step-by-step explanation:
To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:
In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.
Substitute,
Simplify
Inverse operations,
Compute,
m<CBA = 70.53
A- The circumference of the tire is about 7.85 feet
B- The tire will rotate about 672 times to travel 1 mile
Step-by-step explanation:
- The formula of the circumference of a circle is C = π d, where d is the diameter of the circle
- If a circle rotates for n turns and make a distance S, then n =
∵ The diameter of a tire is 2.5 ft
∴ d = 2.5 ft
∵ C = π d, where C is the circumference of tire
∴ C = π(2.5) = 7.85398 ft
∴ C ≅ 7.85 feet
A- The circumference of the tire is about 7.85 feet
∵ The tire have to travel 1 mile
∵ 1 mile = 5280 feet
∴ S = 5280 feet
- To find the number of rotation of the tire divide S by C
∵ n =
∴ n = ≅ 672 revolution
B- The tire will rotate about 672 times to travel 1 mile
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You can learn more about rotation in brainly.com/question/2860697
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