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3 years ago

An employee earns $175 for 15 hours work. Find the constant of variation.

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Answer:

11.67

Step-by-step explanation:

Given: Employee earn $175 for 15 hours

We know, the constant of variation means the rate of change.

To know The constant of variation, we need to find how much employee earn each hour.

∴ Constant of variation= $\frac{Total\ earning}{Total\ working\ hours}$

Constant of variation= $\frac{175}{15}= 11.666$

∴ Constant of variation= 11.67. (rounding off)

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Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

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For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a len

matrenka [14]

Answer:

The measurement of a central angle (in degrees) subtended by an arc is $150^{\circ \:}\:\:$ .

Step-by-step explanation:

$d= 6$ meters

$r= 3$ meters

and

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Using the formula

$\:Arc\:=r\:\theta$

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$\mathrm{Switch\:sides}$

$3\theta =\frac{5}{2}\pi \:$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$3\theta =\frac{5\pi \:}{2}$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3\theta \:}{3}=\frac{\frac{5\pi \:}{2}}{3}$

Simplify

$\theta \:=\frac{5\pi \:}{6}$

$\theta \:=\frac{5\left(180^{\circ }\right)\:}{6}$

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4 years ago

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Llana [10]

Answer:

Step-by-step explanation:

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$\frac{x^{a} }{x^{b} } = x^{a-b}$

We can apply this rule to the problem given to help us find the final answer by taking each exponent and <em>subtracting them</em>. Let's illustrate this below:

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Hopefully this was helpful! Let me know if you have any more questions.

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3 years ago

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