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Dima020 [189]
3 years ago
15

You walk around a circular pond of radius 13 miles for angle of theta = 10 degrees degree Which one of the following shows the d

istance you walked around the pond? (Take pi approx 3.14)
(A) 0.27 miles
(B) 10 miles
(C) 2.27 miles
(D) 1.3 miles
Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

  (C) 2.27 miles

Step-by-step explanation:

Without doing any detailed calculation, you can estimate the distance. The angle of 10° is 1/36 of the full circle of 360°. The circumference is given by the formula ...

  C = 2πr = 2(3.14)(13)

We want to find 1/36 of that circumference, which will be about ...

  C/36 = (3.14)(2)(13)/36 ≈ 3.14(2/3) ≈ 2

This is sufficiently accurate to determine that the best choice is (C).

__

If you want to use a calculator, you can figure the distance as ...

  C/36 = (3.14)(26/36) ≈ 2.26777...(repeating) ≈ 2.27 . . . miles

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Given kite LNOM, what are the lengths of MX and XN ?
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T=-1

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Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.

The hard way:

cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.

Let s=sinA and c=cosA, then s²+c²=1.

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