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AysviL [449]
3 years ago
5

One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.

Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

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Answer:

sin70=13/x

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6 0
2 years ago
Help!! Find the value of x
Romashka [77]

Answer:

x = 51

Step-by-step explanation:

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x = 51

5 0
3 years ago
Just an answer and simple explanation! Thank you.
vazorg [7]

Answer:

15

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0
2 years ago
What is the result when 2a-5 is subtracted from 3a+3
sleet_krkn [62]

Answer:

-a - 8

Step-by-step explanation:

2a - 5 - (3a + 3)

2a - 5 - 3a - 3

-a - 8

I hope this helps!

5 0
2 years ago
Read 2 more answers
Please help ASAP. Need it for homework
kondaur [170]

Answer:

  Speedy Taxis

Step-by-step explanation:

I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.

__

You can figure the cost of each for x=30

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  1.25(30)+8 = 37.5+8 = 45.5

Speedy Taxis is the cheapest for a trip of 30 miles.

6 0
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