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creativ13 [48]
3 years ago
15

Tiffany is constructing a fence around a rectangular tennis court. She must use exactly 300 feet of fencing. The fence must encl

ose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet and the width must be at least 40 feet. Tiffany wants the area enclosed by the fence to be as large as possible in order to accommodate benches and storage space. What is the optimal area, in square feet?

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

5600 square feet is the area.

Step-by-step explanation:

Perimeter will be = 300 feet

Length of the fence enclosure must be at least 80 feet.

Width of the fence enclosure must be at least 40 feet.

Let x be the length and y be the width of the court.

We get following constraints:

x \geq 80

y \geq 40

If we calculate the area, we get xy \geq3200

And for the perimeter we get: 2x+2y=300  

⇒ x+y= 150

Now look at the graph attached, we get point (80,70) as the possible solution.

So, the maximum area occurs when the dimensions are 80 feet by 70 feet.

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{24, 95, 76, 60, 15, 48, 80, 75}<br> a.<br> Mean =<br> b.<br> Median<br> c.<br> Mode =
sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
\frac{24+95+76+60+15+48+80+75}{8}

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
15, 24, 48, 60, 75, 76, 80, 95. The middle ones are 60 & 75 so \frac{60+75}{2}

Mode = The number that repeats more times. In this case none of them repeat.

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2 years ago
Cody said that dividing a unit fraction by a whole number is the same as multiplying the unit fractions by a unit fraction with
LekaFEV [45]

Answer:

True

Step-by-step explanation:

Hi, the statement is true, because to divide a fraction we have to turn the second fraction upside down and multiply them. Since a whole number x can be written as x/1, it also applies to the case of dividing a fraction by a whole number.

We can prove it with an example.

Dividing a unit fraction by a whole number  

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Multiplying the unit fractions by a unit fraction with a whole number as a denominator

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4 0
3 years ago
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3 years ago
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
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I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

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2 years ago
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