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3 years ago

What square footage of artificial grass is needed to cover this portion of the course?

Mathematics

2 answers:

Wewaii [24]3 years ago

7 0

That figure is made up of 3 shapes.
A square, a rectangle, a semicircle.
The square has a side of 6 ft.
The semicircle has a radius of 4 ft.
The rectangle's width is the diameter of the semicircle, so it is 8 ft. The length of the rectangle is 18 ft.

Square:
A = s^2 = (6 ft)^2 = 36 ft^2

Rectangle:
A = LW = 18 ft * 8 ft = 144 ft^2

Semicircle:
A = (1/2) * pi * r^2 = (1/2) * pi * (4 ft)^2 = (1/2) * pi * 16 ft^2 = 8pi ft^2

Total area:
A = 36 ft^2 + 144 ft^2 + 8pi ft^2

A = (180 + 8pi) ft^2

Hitman42 [59]3 years ago

5 0

Answer:

the answer is (8pi+180)

Step-by-step explanation:

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Maths!

Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

4 0

3 years ago

Y = x - 4 y = 4x + 2 x = y =

marshall27 [118]

Answer:

x=-2 y=-6

Step-by-step explanation:

x-4=4x+2

subtract x from both sides

-4=3x+2

subtract 2 from both sides

-6=3x

divide by 3 on both sides

x=-2

y=-2-4=-6

y=4(-2)+2=-8+2=-6

8 0

3 years ago

What is the value of y in the equation 2 + y = −3? -1 -5 1 5

Thepotemich [5.8K]

To do this subtract 2 from each side of the equation to get y = -5, so the value of y in this is -5. Hope this helps!

7 0

3 years ago

Find the equation of the line using the exact numbers

Anit [1.1K]

Answer:

y = -0.25x - 6

Step-by-step explanation:

You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:

(0,-6);(4,-7)

The general equation for a line:

y = m*x + n

The two points on the graph form a system of two equations:

1. -6 = m*0 + n

2. -7 = m*4 + n

You can read off n right away fro equation 1:

n = -6

Plugging n into equation 2:

-7 = m*4 - 6 => -1 = m*4 => m = -1/4

3 0

3 years ago

Read 2 more answers

What is 1 1/3 as a improper fraction

Mumz [18]

Okay so for this all you have to do is add 1 to 1/3.

However, to do this you first need to convert 1 into a fraction.

1 = 3/3
3/3 + 1/3 = 4/3

Hope this helps :)

8 0

3 years ago