A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.

Answers

Answer 1

Answer:

498 ft

Step-by-step explanation:

The zip-line, wall and end of the zip-line to wall form a right-angled triangle.

Since the zip-line which is 500 ft long represents the hypotenuse side, the top of the zip cord to the ground represents one side of the triangle which is 45 ft long and the third side is represented by the horizontal distance between the wall and the zip-line.

By Pythagoras' theorem,

L² = h² + d² where L = length of zip-line = 500 ft, h = height of top of zip cord from ground = 45 ft and d = horizontal distance between the wall and the zip-line.

So, d² = L² - h²

d² = (500 ft)² - (45 ft)²

d² = 250,000 ft² - 2025 ft²

d² = 247,975 ft²

d = √247,975 ft²

d = 497.97 ft

d ≅ 498 ft

Answer 2

The horizontal distance between the wall and the end of the zip-line is:498 ft.

Horizontal distance

Using Pythagoras theorem formula

d= √L² + h²

Let plug in the formula

d=√500 ft² - 45 ft²

d=√ 250,000 ft² - 2025 ft²

d = √247,975 ft²

d = 497.97 ft

d= 498 ft (Approximately)

Inconclusion the horizontal distance between the wall and the end of the zip-line is:498 ft.

Learn more about horizontal distance here:https://brainly.com/question/24784992


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n = 0.0164321

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Step-by-step explanation:

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Answer:

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just joking its

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On a park ma, the ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4). Each unit in the map is equal to 0.5 mile. What is the approximate distance between the ranger station and the nature center?

Answers

Answer: [tex]1.0308\text{ miles}[/tex]

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The ranger station is located (2.5, 3.5) and the nature center is located at (0.5, 4) .

Distance between ranger station and nature center

[tex]\sqrt{(2.5-0.5)^2+(3.5-4)^2}=\sqrt{2^2+(-0.5)^2}\\\\=\sqrt{4+0.25}\\\\=\sqrt{4.25}\\\\=2.0616\text{ units}[/tex]

Each unit in the map is equal to 0.5 mile.

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I need help ASAP
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Answers

Answer:

where is the dot, I Bileve it is no.

9.476, 9.427, 9.43, 9.347, 9.4, 9.38

HELP ASAP


LESSER GREATER

Answers

Answer:

B. 9.427, D. 9.347, F. 9.38, E. 9.4, C. 9.43, A. 9.476,

Step-by-step explanation:

If there's a rigid motion that maps ΔJLK
Δ
JLK
onto ΔABC
Δ
ABC
then the two triangles are congruent. Are the triangles congruent? If so, by which rigid motion is ΔJLK
Δ
JLK
mapped onto ΔABC
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?



Question 5 options:

Yes, the triangles are congruent becauseΔJLK
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JLK
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JLK
is mapped onto ΔABC
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Δ
JLK
is mapped onto ΔABC
Δ
ABC
through a rotation.


Yes, the triangles are congruent becauseΔJLK
Δ
JLK
is mapped onto ΔABC
Δ
ABC
through a reflection.

Answers

Answer:

The answer is A.

Step-by-step explanation:

JLK is translated to the left by 2 units

What system of equations is shown on the graph?

Answers

Blue: y = 1/2x - 2
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Answer:
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A discount movie pass cost 10.99. With the pass,movie tickets cost 4.25 dollars each. Feen spent a total of 61.99 dollars on the pass and the movie tickets. write an equation to determine how many movie fren watched

Answers

The equation would be (61.99-10.99)/4.25= x
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Answers

I would say around 33%. Hopefully that’s correct!!

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Step-by-step explanation:

In total there are 9 marbles

1+2+3+3=9

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Find slope.
х
у
-7
-1
0
-5
-1
4
3

Answers

Answer:

0.75

Step-by-step explanation:

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Step-by-step explanation:

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ANSWER

16

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what is 7x+3(8x-7) I need it in standard form

Answers

Answer:

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Step-by-step explanation:

Distribute:7x+24x-21

Add like terms:31x-21

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the answer is 31x-21

Winter Wonderland buys items at wholesale, then marks them up to set a retail price. They buy snow globes for $9.20 and mark them up by 95%. What is the retail price or selling price of the snow globes?

Answers

Answer:

$17.94

Step-by-step explanation:

Step one:

given

the cost price of snow globes = $9.20

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

Answer:

17. C

18. C

Step-by-step explanation:

The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.

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I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Solve linear equations

Solve for x

3х – 10 = 16

Answers

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

Find k so that when x³+2kx² +3x-6 is divided by x+3 the remainder is 12.

Answers

Answer:

k = 3

Step-by-step explanation:

By the Remainder theorem if f(x) is divided by (x + h) , then the remainder is f(- h), thus

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Answers

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Answers

Answer:

82.67 tickets

Step-by-step explanation:

Since the tickets are shared equally, the number of tickets each friend would receive is given as: x

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Answers

Answer:

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PLEASE HURRY, ILL MARK YOU BRAINLEST!! Select the correct answer.
David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has
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$1.50
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OD.
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Answers

Answer:

A

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Answers

Answer:

y = 4

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Answer:

Option 4

Step-by-step explanation:

:)

Answer:

Option 4

Step-by-step explanation:

which is the solution of the equation y=4x+3

Answers

Answer:

It is not possible to solve the equation y = 4x + 3. This is merely a relation between two variables x and y. The variable y is 3 greater than 4 times the variable x.

Step-by-step explanation:

What book?

I have no clue hahahaha
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