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aliya0001 [1]
3 years ago
9

A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her

current office is 88 feet, how many square feet is the new office?
Mathematics
2 answers:
katovenus [111]3 years ago
5 0

Answer:

The area of the new office = 968 square feet.

Step-by-step explanation:

Given: A woman is looking for a bigger square office. She finds an office twice the area of her current office.

Let "x" be the side of length of the current office. Which is in shape of square.

A square has four sides and all the sides are in equal measure.

Perimeter of the current office = 4x

Given: Perimeter = 88 feet

Now let's find the side of the current office.

88  = 4x

Divided both sides, we get

4x/4 = 88/4

x = 22 feet.

So the side of the current office is 22 feet.

Now let's find the area of the current office = side *side

= 22*22

The area of the current office = 484 square feet.

We need to find the area of the new office, which is twice the area of the current office."

The area (square feet) of the new office = 2*484 = 968 square feet.

Sauron [17]3 years ago
4 0
88×2=176this is the answer
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5:3

Step-by-step explanation:

20 cats: 12 dogs

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Tenesha is trying to draw a parallelogram and find its area using the two line segments shown. On a coordinate plane, 2 line seg
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Answer:

The missing vertex is not (9,5) it is rather (8,5)

Step-by-step explanation:

We cannot see Tenesha's solution steps, so we cannot identify her mistakes.

Moreover we cannot see the options.

However, the mistake we can spot with the available information is that, the fourth vertex of a parallelogram with vertex (1, 5), (5, 2), (12, 2) is not (9,5).

The two adjacent horizontal vertices are:

(5,2) and (12,2).

The distance between them is |12-5|=7.

Since the opposite sides of a parrlallelogram are congruent, the other horizontal vertex for (1,5) is (1+7,5), which is (1,5)

7 0
4 years ago
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PLEASE HELP THIS SHOULD BE MY LAST ONE
n200080 [17]

Answer:

g(-4) = -4

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g(1) = -4

Step-by-step explanation:

The value of the given function is -4 for all values of x other than -2 and 1 if x=-2

So,

For x=-4 the value of function will be -4.

g(-4) = -4

For x=-2

The value of function is -2.

g(-2) = 1

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3 0
3 years ago
Which shape has no parallel sides?<br> rectangle<br> trapezoid<br> square<br> triangle
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Triangle

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The marketing director of a large department store wants to estimate the average number of customers who enter the store every f
Dahasolnce [82]

Answer:

36.5674\leq x'\leq61.4326

Step-by-step explanation:

If we assume that the number of arrivals is normally distributed and we don't know the population standard deviation, we can calculated a 95% confidence interval to estimate the mean value as:

x-t_{\alpha /2}\frac{s}{\sqrt{n} } \leq x'\leq x-t_{\alpha /2}\frac{s}{\sqrt{n} }

where x' is the population mean value, x is the sample mean value, s is the sample standard deviation, n is the size of the sample, \alpha is equal to 0.05 (it is calculated as: 1 - 0.95) and  t_{\alpha /2} is the t value with n-1 degrees of freedom that let a probability of \alpha/2 on the right tail.

So, replacing the mean of the sample by 49, the standard deviation of the sample by 17.38, n by 10 and t_{\alpha /2} by 2.2621 we get:

49-2.2621\frac{17.38}{\sqrt{10} } \leq x'\leq 49+2.2621\frac{17.38}{\sqrt{10} }\\49-12.4326\leq x'\leq 49+12.4326\\36.5674\leq x'\leq61.4326

Finally, the interval values that she get is:

36.5674\leq x'\leq61.4326

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3 years ago
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