The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit
2 answers:
Answer:
The answer is below
Step-by-step explanation:
The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?
Solution:
a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:
Circumference = 2π × radius; but diameter = 2 × radius. Hence:
Circumference = π * diameter.
Given that diameter of the tire = 2.5 ft:
Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft
b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.
1 mile = 5280 ft
The number of rotation required to cover 1 mile (5280 ft) is:
number of rotation =
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Answer:
°
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Step-by-step explanation:
Let the measure of angle C be °.
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is thirteen less than
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. This gives,
Also,
Now, for a triangle, the sum of all its interior angles is equal to 180°.
Therefore,
Plug in all the values and solve for x. This gives,
Therefore, measure of angle C is 34°.
Measure of angle A is, °.
Measure of angle B is, °.