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ella [17]
3 years ago
6

if you place a 5ft ladder against the top of a 4ft building how many feet will the bottom of the ladder be from the bottom of th

e building?​
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

3 ft.

Step-by-step explanation:

When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:

a²(opposite) + b²(adjacent) = c²(hypotenuse)

The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.

We have the measurements except for the adjacent. So it will be:

c² - a² = b²

5² - 4² = b²

25 - 16 = b²

9 = b²

√9 = b

b = 3 ft

The answer is 3 ft.

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Whats the answer for this 14=-(p-8)
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Answer:  " p = - 6 " .

___________________________________

Step-by-step explanation:

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Given:  14 = - (p - 8) ;  Solve for "p" ;

Rewrite as:

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which is the same as:

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Rewrite as:

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Now add "8" to each side of the equation;

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 p  = - 6  .

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Now, let us check our answer:

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Given:   14 = - (p - 8) ;

Substitute our solved value:  "-6" ; for "p" ; to see if the equation holds true:

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14 = - (p - 8)  ;

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14 =? -(-14) ;

14 =? + 14 ?  Yes!

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Hope this answer and explanation is helpful to you!

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