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Katen [24]
3 years ago
7

(12 + 5) + 32 × (10 − 5)

Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer: 177

Step-by-step explanation:

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What is the approximate value of x in the diagram below? (Hint: You will need
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Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

sin(43) * x = 27

divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

x=\frac{27}{0.682}

simplify the fraction

x\approx39.59

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