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faust18 [17]
3 years ago
5

At a water park there is a slide that you really want to ride. In order to get to the top of the 29 foot slide you must first cl

imb a ladder. When you finish the ride you end up 21 feet from the base of the ladder. How tall is the ladder you must climb in order to get to the top
Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer: 20 feet

Step-by-step explanation:

This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.

Solve with Pythagoras rule:

c² = a² + b²

c = hypotenuse

a= length

b = height

29² = 21² + b²

841 = 441 + b²

b² = 841 - 441

b² = 400

b = √400

b = 20 feet

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Domain = Set of all real numbers, which is choice B
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3 years ago
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DENIUS [597]

9514 1404 393

Answer:

  90 miles

Step-by-step explanation:

Let d represent the distance to Grandma's house.

The speed going was ...

  speed = distance/time

  speed = d/2

The speed coming home was ...

  speed = d/2.25

The difference of these speeds is 5 miles per hour:

  d/2 -d/2.25 = 5

  2.25d -2d = 5(4.50) . . . . . multiply by 4.50

  0.25d = 22.5 . . . . . . . . . . .simplify

  d = 90 . . . . . . . . . . . . . . . . multiply by 4

Grandma's house is 90 miles away.

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3 years ago
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