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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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3 years ago
Please help!
Salsk061 [2.6K]
VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK

Since VK = x and VY = 22, this means...
VK = VY+YK 
x = 22+YK 
x-22 = YK
YK = x-22

-----------------------------------------------------

Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.

In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle

Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47

Answer: 47
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3 years ago
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The solutions are where the quadratic is equal to 0, or when the quadratic crosses the x axis.

Where the quadratic crosses the x axis are the solutions:

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Can you help me please I need this for tomorrow!!
Andrew [12]

Answer:

D

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B I think

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Step-by-step explanation:


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