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AnnZ [28]
3 years ago
13

A man is flying a kite on an eighty foot string. The kite has an angle of elevation measuring fifty five

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

45.9 feet

Step-by-step explanation:

In this situation, the kite string represents the hypotenuse of a right triangle.

We need to solve for the horizontal distance, which will be the long leg of the triangle.

Use the cosine ratio (adjacent over hypotenuse), since we are given the hypotenuse and are solving for the adjacent leg.

Let x represent the horizontal distance:

cos 55 = \frac{x}{80}

(80) (cos 55) = x

45.9 = x

So, the horizontal distance is approximately 45.9 feet

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Determine whether the triangles are similar or not, if so, determine if it is by AA-, SSS-, or SAS-
Ilia_Sergeevich [38]

Answer and Step-by-step explanation:

These triangles are similar by AA......

This is because the point that connects the triangles together have the same angle value. We also see that they both have 90 degrees as an angle, making it similar by AA~.

The other angle that shows the 38 in it is 52, so it is definitely proven by AA~.

#teamtrees #PAW (Plant And Water)

6 0
3 years ago
Please help! Instructions: rewrite the equations in slope intercept form. Then graph
densk [106]

Answer:

13. y = -4x + 6

14. y = 1/2x - 2

Step-by-step explanation:

You want to put y on one side and the rest of the numbers on the other side. You can do this by adding or subtracting or dividing the numbers/variables on the left.

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subtract both sides by 4x

y = 6 - 4x

or rewritten as:

y = -4x + 6

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-3x + 6y = -12

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5 0
3 years ago
If the simple interest on ​$5,000 for 7 years is ​$1,750​, then what is the interest​ rate?
Rashid [163]

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4 0
3 years ago
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What is the mean for the data shown in the line plot?<br><br> 5 and 7<br> 5<br> 4<br> 8
kolezko [41]

Answer:

The mean of the data: 5,7,5,4,8 is 5.8

Step-by-step explanation:

To find the mean, add up the numbers, then divide them by the number of data points. So 5 + 7 + 5 + 4 + 8 = 29, and 29 divided by 5 is 5.8

3 0
3 years ago
A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger so
Naya [18.7K]

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

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375 hamburgers were sold on Saturday.

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<em>Additional comment</em>

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

8 0
3 years ago
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