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cupoosta [38]
3 years ago
8

If you place a 40 foot ladder against the top of a 24 foot building how many feet will the bottom of the ladder be from the bott

om of the building ?

Mathematics
1 answer:
Helga [31]3 years ago
7 0

Answer:

<u>32 feet</u> will the bottom of the ladder be from the bottom of the building.

Step-by-step explanation:

Given:

Height of ladder = 40 feet.

Height of building = 24 feet.

Now, to find the distance from the bottom of the ladder to the bottom of the building.

<em><u>So, as illustrated in figure below: </u></em>

Now, we use pythagorean theorem to solve it:

AB^2+BC^2=AC^2

24^+BC^2=40^2.

576+BC^2=1600

<em>Subtracting both sides from 576 we get:</em>

BC^2=1024

<em>Using square root on both sides we get:</em>

BC=32\ feet.

Therefore, 32 feet will the bottom of the ladder be from the bottom of the building.

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Please help thanks so much
Goshia [24]

Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

<em>=> -5 = (-4/3)*9 + b </em>

<em>=> -5 = -12 + b </em>

<em>=> b = 7</em>

<em />

So that the equation in point-slope form of the given line is:

<em>y = (-4/3)*x + 7</em>

<em />

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3 years ago
how many legs do 10 people have? if two people dont have legs. one person has 3 legs and one person has one leg. and mary has a
Ganezh [65]
So here is the answer. Normally, 10 people have 20 legs since each person has 2 legs each. But given the scenario that two people don't have legs, this would mean 20 minus 4, is 16 legs. Then one person has 3 legs, 16 plus 3 and it is 19. And then, another person has one leg, 19 plus 1 is 20. Therefore, the total legs would still be 20. Hope this helps. The dog does not count.
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3 years ago
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