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Delicious77 [7]
3 years ago
14

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
                      leg 1 = (15 units) x (cos 19) = 14.18 units
                      leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units. 
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5 0
3 years ago
A 5 gallon bucket of paint for 97.45 of a 1 gallon bucket of paint for 21.95
dalvyx [7]

Answer:

The five gallons is cheaper since 97.45 divided by 5 is equal to 19.49.

Step-by-step explanation:

8 0
3 years ago
Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho
DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h =x

<em>Distance covered in km 2 hours will be = Speed\times time=x\times 2=2x\ km</em>

Speed of second skier in km/h can be given as = x+5

<em>Distance traveled by second skier after 2 hours will be = Speed\times time=(x+5)\times 2=(2x+10)\ km   [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

2x+2x+10=30

Solving for x

4x+10=30

Subtracting both sides by 10.

4x+10-10=30-10

4x=20

Dividing both sides by 4.

\frac{4x}{4}=\frac{20}{4}

x=5

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8 0
3 years ago
3 2/3+ 8 7/12<br><br> I need the work
castortr0y [4]

Answer:

\frac{49}{4}

Step-by-step explanation:

Convert each to a improper fraction

3 \frac{2}{3} = \frac{11}{3}

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4 0
3 years ago
Read 2 more answers
Create a number line to illustrate the following operations and find the solution.
irakobra [83]

Answer:

416

Step-by-step explanation:

26 times 16 is 416

3 0
3 years ago
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