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Goryan [66]
3 years ago
6

Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the

ladder, how long does this line need to be?
Mathematics
1 answer:
nadezda [96]3 years ago
4 0

The line needs to be 8.06 m long

Explanation

Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.

The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.

base=4m

height=7m

hypotenuse can be determined using pythagoras law

b^{2} +h^{2} =H^{2} \\x^{2} 4^{2}+ 7^{2}= H^{2} \\16+49=H^{2} \\H=\sqrt{65} \\=8.06 m

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den301095 [7]

Answer:

3)  y=\dfrac35x+\dfrac25

4) a)  y=-2x+7

  b)  y=\dfrac12x+\dfrac92

Step-by-step explanation:

<u>Exercise 3</u>

-3x + 5y = 2

\implies 5y = 3x + 2

\implies y=\dfrac35x+\dfrac25

<u>Exercise 4</u>

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ m = -2

If L2 passes through point (3, 1):

y-y_1=m(x-x_1)

\implies y-1=-2(x-3)

\implies y=-2x+7

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1  ⇒  m = \dfrac12

If L3 passes through point (-5, 2):

y-y_1=m(x-x_1)

\implies y-2=\dfrac12(x+5)

\implies y=\dfrac12x+\dfrac92

4 0
2 years ago
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Luba_88 [7]
I did the work and it says 0.3683492496 and more number but i believe its 0.3 without all those other numbers

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3 years ago
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2x+7y=-20, y=3x+7. solve using elimination
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Step-by-step explanation: Please brainliest!

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2 years ago
An aircraft has a total time in service of 468 hours. The Airworthiness Directive given was initially complied with at 454 hours
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Answer:

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Step-by-step explanation:

In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:

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454-14=440

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2 years ago
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