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Alina [70]
3 years ago
13

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:
shutvik [7]3 years ago
5 0

Answer:

14.18 units  &  4.88 units

Step-by-step explanation:

The right triangle in this problem is shown in the attached image.

Using trigonometry, the adjacent leg would be 15 Cos 19°

and the opposite leg would be 15 Sin 19°

Thus,

one leg is 15 Cos 19 = 14.18 units, and

another leg is 15 Sin 19 = 4.88 units

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The probability of randomly selecting two oranges from a bowl of 5 oranges and 4 tangerines if the first selection is replaced
denis-greek [22]

Answer:

25/81

Step-by-step explanation:

The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)

total number of fruits in the bowl = 5 + 4 = 9

5/9 x 5/9 = 25/81

6 0
3 years ago
Michael drives to work each day. He travels a total of 160 miles at the end of the work week. How far is Michael's house from wo
kobusy [5.1K]

Answer:

16 miles

Step-by-step explanation:

Assume the working day in a week is 5.

Given:

Michael drives 160 miles at the end of the work week. therefore as per assumption,

5 days of travelling distance = 160 miles

To find the distance of Micheal's house from work.

Solution:-

5 days of travelling distance = 160 miles --------------------(given)

Now,

Per day driving for work = \frac{5\ days\ of\ travelling\ distance}{5}

Per day driving for work = \frac{160}{5}

Per day driving for work = 32\ miles

So, Micheal drives to work each day is 32 miles.

Therefore, the one side driving of Micheal is equal to distance of Micheal's house from work.

One side driving of Micheal = \frac{Per\ day\ driving}{2}

One side driving of Micheal = \frac{32}{2}

One side driving of Micheal = 16 miles

Therefore, the distance of Micheal's house from work is 16 miles.

4 0
2 years ago
There are two dimes and a nickel in your pocket. You randomly pick a coin from your pocket and place it on the counter. Then you
Sidana [21]

Answer:

each coin has a 1/3% chance of being picked

Step-by-step explanation:

8 0
2 years ago
Draw the polygon with the given in a coordinate plane (0,4) ( 10,8) ( 7,4) ( 10,2 ) ( 5,0)
ehidna [41]

Answer:

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Is (12 + 12)7 × 37 equivalent to (24 × 3)7?
Murrr4er [49]

Answer:

NO

Step-by-step explanation:

(12+12)7 x 37           (24 x 3)7

(24)7 x 37                   (72)7

168 x 37                      504

6216 is not equal to 504

so NO

Can I plz have brainliest please

6 0
2 years ago
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