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s344n2d4d5 [400]
3 years ago
6

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week

.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work? (4 points)
Mathematics
1 answer:
german3 years ago
4 0
Part A) x hours a week.
10$ per hour.

W= x*10.

Part B) 40 hours a week for 10$ each.

40*10 = 400.

Plus Y hours over time at 15$ each.
S=400+15y
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Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

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Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

Sin \theta = \dfrac{opposite}{hypothenuse}

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Sin (53^0) = \dfrac{4}{x}

Making x the subject of the formula:

x = \dfrac{4}{Sin \ 53^0}

x = \dfrac{4}{0.7986}

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Cos \theta = \dfrac{adjacent}{hypothenuse}

Cos \ 53^0 = \dfrac{y}{x}

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Cos \ 53^0 = \dfrac{y}{5}

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

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