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ddd [48]
3 years ago
8

Solve the proportion 5/x=4/8 is

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0
D. 10 is your answer.
In order to solve a proportion, you cross multiply.
In this case it will be 40=4x
Solve for x is 10. Therefore D is your answer.
Please give 5 star if it helped you. :)
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Step-by-step explanation:

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inysia [295]

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Step-by-step explanation:

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Tangent is equal to \frac{sin(theta)}{cos(theta)}, we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

sin135=\frac{\sqrt{2} }{2}

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

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The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

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