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USPshnik [31]
3 years ago
12

A man walks 5 feet, turns 20 degrees and then walks another 10 feet. How far is the man from where he started? Round your answer

to the nearest tenth of a foot.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

About 14.8 ft

Step-by-step explanation:

This is a triangle. A man walks one direction, turns, and walks another direction. The question asks for you to find the distance, which is the hypotenuse side. This makes our triangle (see attachment 1)

Since this is not a right triangle, we will use law of cosines.

We are given 2 sides and an angle. However, 20 degrees is the exterior angle. To find the interior angle (green theta), we have to do a calculation:

180-20=160 degrees. This is green theta.

Now, we have all we need to use law of cosines. (see attachment 2)

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KonstantinChe [14]

Answer:

Step-by-step explanation:

try the numbers -3 -2 1 and 3

5 0
3 years ago
Ryan's brother works in a shoe store. He earns $12 per hour. The store offers him a raise — a 5% increase per hour. After the ra
TEA [102]

Answer:

$12.60

Step-by-step explanation:

12x.05 = .6 then .6+12 is 12.6

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8 0
2 years ago
I will give brainliest to whoever answers this question:) help a dummy out
aliya0001 [1]

Answer:

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Marina86 [1]

Answer:

\boxed{\sf (f - g)(x) = 2x - 3}

Given:

f(x) = 3x - 1

g(x) = x + 2

To Find:

(f - g)(x)

Step-by-step explanation:

\sf (f -g)(x) = f(x) - g(x) \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - 1) - (x + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - 1 - x - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - x - 1 - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - x) - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - 3

6 0
3 years ago
At the end of the month mr copley has $1473.61 in is checking account his checkbook showed the following transaction if made mad
ycow [4]

Total balance in Mr. Copley at the end of the month = $1473.61.

Initial deposite =  $75 (not shown in his checkbook).

Let us assume his balance at the beginning of the month = x.

Total balance at the end of the month = The balance at the beginning of the month + total deposite.

$1473.61 = x + 75.

Subtracting 75 from both sides, we get

1473.61 -75 = x + 75 -75.

1398.61 = x.

Therefore, his balance at the beginning of the month was $1398.61.

7 0
3 years ago
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