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ser-zykov [4K]
3 years ago
7

A married couple together earns 110,000 a year. The wife earns 16,000 less than twice what her husband earns.what does the husba

nd earn
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000

but w = 2h - 16000

We can turn it into..

2h - 16000 + h = 110000

Which we can then combine into..

3h - 16000 = 110000

Add 16000 and..

3h = 126000

Divide by three...

h = 42000

(nice)

The husband earns 42,000$ a year

Bonus: The wife then earns 68,000$

42,000 (or h) + 68,000 (or w) = 110,000

Because this is the original equation, we are correct.



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The acute angle at A is 67 degrees.  You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
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We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.

We choose the tangent function to solve for the height of the building (which is the length of the opposite side. 

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By definition, tangent (67 degrees) = -------------------------------------
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Yes
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By the way, you have to show the work.
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