PLZ HELP! Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

Mathematics

1 answer:

Leviafan [203]3 years ago

3 0

Answer:

About 555.43 feet

Step-by-step explanation:

The sine of an angle is equivalent to the length of the opposite side divided by the length of the hypotenuse. In this case:

$\sin 80= \dfrac{x}{564} \\\\x=\sin 80 \cdot 564\approx 555.43$

Hope this helps!

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Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme

frutty [35]

Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

<span>Length of employment (months)         Hourly wage (dollars/hour)
6 months    7.55
12 months    7.85
18 months    8.15
24 months    8.45

To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
$(x_1,y_1)$ and $(x_2,y_2)$
is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
$\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6} \\ \\ 6(y-7.55)=0.3(x-6) \\ \\ 6y-45.3=0.3x-1.8 \\ \\ 0.3x-6y=-43.5$

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
$0.3x-6y=-43.5$ </span>

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2 years ago

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