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ollegr [7]
3 years ago
15

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

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An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday they sold 147 more child tickets than adult ticke
Serggg [28]

<u>Answer</u>:

189 tickets were sold in amusement park on Saturday.

<u>Step-by-step explanation:</u>

Given:

The ratio of  child and adult tickets  =  8:1

sold 147 more child tickets than adult tickets

To Find:

Number of tickets sold on Saturday in the amusement park = ?

Solution:

Let

The number of child ticket be  x

The number of adult ticket be y

Then from the ratio we know that there are 8 child ticket than adult ticket

=> x =8y------------------------------(1)

Also, they sold 147 more child tickets than adult tickets

=> x = 147 +y--------------------------(2)

Equating (1) and (2)

8y =  147 +y

8y-y = 147

7y=147

y =\frac{147}{7}

y =21

So The number of adult tickets were 21

Now the child ticket

x = 147 +y

x = 147+21

x= 168

Total tickets  = adult ticket + child ticket

=>21 +168

=> 189 tickets

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Answer:

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Step-by-step explanation:

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