We already know that C = 45. All we really need to do is simplify the equation and then solve for x.

45 = x + 0.06x + 0.08x + 0.1x
45 = (1 + 0.06 + 0.08 + 0.1)x
45 = 1.24x
x = 36.2903, which rounds to $36.29 for the haircut.

3 0

3 years ago

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=17°, and MN = 20 feet. Find the length of LM to the nearest tenth of a foot.

andrey2020 [161]

20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function.
$cos \theta = \frac{adj}{hyp}$
plug in known values
$cos(17) = \frac{20}{x}$
switch cos(20) and x using the products property
$x = \frac{20}{cos(17)}$
plug into calculator to get 20.9 ft

3 0

3 years ago

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Please check my work!! is my answer correct?

harkovskaia [24]

Yes your work is correct

8 0

3 years ago

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