Answer:
About 2.17 feet.
Step-by-step explanation:
Let <em>d</em> represent the diameter of the tire.
Then the circumference of the tire will be:
So, the tire will travel dπ miles after one rotation.
After 775 rotations, the total miles traveled should be 5280 feet. Thus:
Solve for <em>d:</em>
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Approximate:
The circumference of the tire should be about 2.17 feet.
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
I hope this helps you with the other 3 questions.
