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3 years ago

An employee earns $195 for 15 hours of work. Assuming he is paid by the hour, how much will the employee earn in 8 hours?

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

$104

Step-by-step explanation:

First, find the employee’s hourly rate. You can do this by dividing the total amount earned by the total hours worked. $\frac{195}{15}=13$
Now that you know that the employee’s hourly rate is $13 per hour, you can multiply the hourly rate by the number of hours. $13*8=104$

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The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

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Sides are labeled as:

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To find:

Side $b = ?$

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Putting all the values:

$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

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Correct answer is option D. 96.4 yd.

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2 years ago

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Marina CMI [18]

Answer:

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Step-by-step explanation:

well since a triangle has to equal 180º

then we just have to subtract 88º and 55º from 180º

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3 years ago