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sineoko [7]
4 years ago
7

The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a ru

g in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the width (the shorter side) of the rug be?
Mathematics
1 answer:
ioda4 years ago
4 0
Let width of the floor be x feet, them area is
x(x+2)  = 168
x^2 + 2x - 168 = 0
(x - 12)(x + 14) - 0
so x = 12
the floor is 12 ft by 10 ft

the width of the rug should be 10 - 2(2) = 6 feet


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The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si
Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =\mu = 600 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

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At x = 700

Z= \frac{700-600}{100}

Z=1

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P(600

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8 0
4 years ago
One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in
Alik [6]
Ok

in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

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4 0
4 years ago
After the party, 3 1⁄4 pecan pies remained. The next day, Edward's family ate 1 1⁄4 of a pie. How many pecan pies were left?
vlabodo [156]

Answer:

2

Step-by-step explanation:

Because 3-1 is 2 and 1/4-1/4=0

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4 0
3 years ago
Read 2 more answers
-2(bx - 5) = 16<br><br> What’s does b and x equal?
horrorfan [7]
To solve this problem you must apply the proccedure shown below:
 You have the following equation given in the problem above:
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</span> When you solve for bx, you have:
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 When you solve for b, you obtain:
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 When yoo solve for x:
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 </span>
3 0
3 years ago
How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36
ad-work [718]
<span>The answer is one. First, these are both straight lines, meaning they will have one intersection point. In order to find the intersections of these two lines, we must set them equal to one another. So x + 5y = 6 equals 3x + 30y = 36. When you solve the two equations together, you'll get one intersection point at (0 , 1.2).</span>
5 0
3 years ago
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