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Delvig [45]
3 years ago
10

In a 30-60-90 triangle, the shorter leg has length of 8√3 m. Find the length of the other leg (L) and the hypotenuse (H).

Mathematics
1 answer:
jeyben [28]3 years ago
4 0
When all of the angles of triangle and one side are known, you can apply the sine law. The shorter leg would correspond to the smallest angle 30. Similarly, the hypotenuse, which is the longest sides, corresponds to 90 degrees. Then the equation would be:

(sin 30 / 8 square root of 3) = (sin 90 / H)
H = 27.71 m

(sin 30 / 8 square root of 3) = (sin 60 / L)
L = 24 m
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eduard

Answer:

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Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.

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3 0
4 years ago
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to fin
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Answer:

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

Solve for r:

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Subtract 7 q - 34 from both sides:

-r = 34 - 7 q

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Answer:  r = 7 q - 34

7 0
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Answer:

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Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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m = \frac{26-3}{18+3} = \frac{23}{21}

7 0
4 years ago
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