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NISA [10]
1 year ago
9

You have a 500-foot roll of chain link fencing and a large field. You want to fence in a rectangularplayground area. What are th

e dimensions of the largest such yard ? What is the largest yard? Field dimension Maximum area
Mathematics
1 answer:
exis [7]1 year ago
3 0

The length of the fencing is 500 foot

That means the perimeter of the playground = 500

Assume that the dimensions of it are x and y

So 2x + 2y = 500 ---- perimeter of the rectangular yard

Divide both sides by 2

x + y = 250

Now subtract the two sides by x to find y in terms of x

x - x + y = 250 - x

y = 250 - x --------(1)

Since we need to find the maximum area, let us find the area in terms of x and y

Area of the yard is A

A = xy -------- area the rectangle

Now substitute y by (1)

A= x(250 - x)

A = 250x - x^2

For the maximum area, we will differentiate A with respect to x

\frac{dA}{dx}=250-2x

For maximum area equate dA/dx by zero

Since dA/dx = 0

250 - 2x = 0

Add 2x for both sides

250 - 2x + 2x = 0 + 2x

250 = 2x

Divide both sides by 2

125 = x

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The correct answer is D.14.
The interquartile range is the difference between the Upper Quartile and the Lower Quartile of a data set.

By arranging the numbers in the stem and leaf plot from lowest to highest value, you get an even set of data (31,33,35,41,43,46,48,49,49,50). By dividing the set into two, you get a lower half of your data (31,33,35,41,43) and an upper half (46,48,49,49,50). The lower quartile is the median or the midpoint of the lower half of your data while upper quartile is for the upper half. The lower quartiles is 35 and upper quartile is 49. The difference between the two is 14.
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Which of the following ordered pairs is a solution of the given system of linear equations?
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B. I'm terrible at explaining but I'm sure that's right.
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3 years ago
Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p
baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

\Rightarrow x+y=284

\Rightarrow 2y-49+y=284 [using equation (ii)]

\Rightarrow 3y=333

\Rightarrow y=111

From equation (ii),

x= 2\times111-38=173

From equation (iii),

z=173-38=135.

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

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3 years ago
Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial
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The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16

<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        \dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

3x²-5x⁴+2x-12                           \sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16

Therefore the polynomials and non-polynomials are shown in the table above.

To know more about polynomials follow

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658,008 i just looked it up and thats what i found.
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