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2 years ago

DIRECTIONS: Draw a picture to represent each problem. Then, use

1 answer:

4 0

Pythagorean theorem is: a^2+b^2=c^2

1. 10^2+b^2=17^2
So 100+b^2=289
b^2=189
b= $\sqrt{189}$
b=13 3/4
The dimensions are 10 by 13 3/4

2. 5^2+b^2=13^2
So 25+b^2=169
b^2=144
b=12
The ladder reaches 12 feet off the ground

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A ladder is leaning against a building.The distance from the bottom of the ladder to the building is 6ft shorter than the length

Akimi4 [234]

Answer:

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Step-by-step explanation:

Hi, the illustration for the problem is a right triangle with:

hypotenuse (C)= the length of the ladder = L

horizontal side(A) = distance from bottom of the ladder to the building = L - 6

vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3

So, we can use Pythagoras formula:

A2 +B2= C2

(L – 6 )² + (L-3)² = L²

L²-12L+36+L²-6L+9 =L²

L2 -18L+45 =0

APPLYING QUADRATIC FORMULA WE OBTAIN:

L =15 OR L=3

If L=3

Vertical side = L-3 = 0 (Length can´t be 0)

So L=15

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2 years ago

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Answer: the actual length and width of the room is 24ft by 36ft

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The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.

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