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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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Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari
lesantik [10]

The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.

Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:

C = 2A

C = N + 3

C = S/2

S - N = C + A

S = 2C, N = C - 3 and A = C/2, therefore we have

2C - (C - 3) = C + C/2

C + 3 = C + C/2

C/2 = 3 and C = 6

A = C/2

A= 6/2

A = 3

N = C - 3

N = 6 - 3

N = 3

S = 2C

S = 2 x 6

S = 12.

C = 6, A = 3, N = 3 and S = 12

8 0
2 years ago
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irakobra [83]

Answer:

b y=9000(1+3.5)20

Step-by-step explanation:

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8 0
3 years ago
64.3- 3 x 23 - 2 is what.
Lena [83]

Answer: -6.7

Step-by-step explanation:

64.3−(3)(23)−2

=−6.7

3 0
2 years ago
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elena55 [62]

40:68.6

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8 0
3 years ago
Two different ways to find the difference for 12-3
Gennadij [26K]
For this case we have:

 way 1:
 
Common factor 3 in the expression:
 12-3 = 3 (4-1)

12-3 = 3 (3)

12-3 = 3 (9)

 Way 2:
 
Write the number 12 as the sum of 4 times 3:
 12-3 = (3 + 3 + 3 + 3) - 3

 Then, for associative property:
 12-3 = 3 + 3 + 3 + (3 - 3)

12-3 = 3 + 3 + 3 + (0)

12-3 = 3 + 3 + 3

12-3 = 9
8 0
3 years ago
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