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Over [174]
3 years ago
9

0.75 ( + 16) = 3 − 0.5( − 8)

Mathematics
2 answers:
Nookie1986 [14]3 years ago
4 0
The correct answer is 5.25
ElenaW [278]3 years ago
4 0
0.75 •(+16)=12
-0.5(-8)= +4

12=3+4
12 ≠ 7
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alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:

x = 5 * sqrt(2)

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Discussion:

First thing: the hypotenuse is the side opposite the right (90 degree) angle. So it is side x NOT side y as shown in your diagram.  

The triangle is a 45-45-90 triangle so

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If you don't care for the trig approach, since it's a 45-45-90 triangle the length of the legs are that same, i.e y = 5

Also sin(45) = y/x    => as y = 5

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sqrt(2)/2 = 5/x         => multiply bot sides by x

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x* sqrt(2)/2 = 5         => divide both sides by sqrt(2)/2

x = 5 * (2/sqrt(2))

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Or if you don't care for the trig approach, simply apply the Pythagorean theorem ( 5^2 + 5^2 = x^2) and solve for x

Thank you,

MrB

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Read 2 more answers
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