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Semmy [17]
3 years ago
7

In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near

est tenth of a foot.

Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

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Answer:

x=5, y=2

Step-by-step explanation:

You simply write down what you see:

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2x - 3y + 3x - 5y = 9

Then you simplify by grouping the x and the y terms:

7x - 9y = 17

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Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:

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Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:

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7+10 = 17: ok!

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4+5 = 9: ok!

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