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raketka [301]
2 years ago
9

A rectangular rug has side lengths of (x- 2) feet

Mathematics
1 answer:
Zolol [24]2 years ago
3 0

Hi!

Your answer is x^2+x+6

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

<u>Dimensions:</u>

(x - 2) x (x + 3)

<u>Area of a rectangle:</u>

Length x Width = Area

Plug dimensions into the formula:

(x - 2)(x +3)

Use the Distributive Property and FOIL method to solve <em>(if you are not familiar with the FOIL method, see the image attached below)</em>:

x^2+3x-2x-6

Combine like terms:

x^2+x-6

<em>Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.</em>

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The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap
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Answer:

A.  5.19 units

Step-by-step explanation:

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

Given:

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Substituting given values into the equation and solving for r:

\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)

\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)

\implies 7.34 \cdot 40=18 \pi r

\implies 293.6=18 \pi r

\implies r=\dfrac{293.6}{18 \pi}

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2 years ago
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-x+2y=11 for 3 points
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