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max2010maxim [7]
3 years ago
12

PLEASE HELP!! WILL MARK BRAINLEST!!!

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0

Answer: 64cm

Step-by-step explanation:

length=3w\\width=w\\area=192cm^2\\perimeter=?

First, using the area formula, find length and width;

A=l*w

192=3w*w

192=3w^2

Divide by 3.

\frac{192}{3}=w^2

64=w^2

Extract the square root.

\sqrt{64}=w\\ 8=w

Now that you found the width; find length.

if length is three times width; multiply the width by 3.

8*3=24cm

Now that you have all the information, find the perimeter.

P=2(l+w)\\P=2(24+8)\\P=2(32)\\P=64cm

miss Akunina [59]3 years ago
5 0

Answer:

x: length

y: wide

x = 3y and x*y =192

=> 3y^2 = 192

=> y = 8 => x =3x8 = 24

=> Perimeter = (x+y)*2 = (8+24)*2 = 64

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  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

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<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

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nikitadnepr [17]

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Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".

The y-intercept (b) is 3 (when x is zero, it is y).

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Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator

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