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Evgesh-ka [11]
3 years ago
5

1.) An architect is designing a house with steps to

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

  About 3.36 feet or about 40.3 inches

Step-by-step explanation:

The tangent ratio tells you ...

  Tan = Opposite/Adjacent

In this geometry, we want ...

  tan(50°) = (4 ft)/(distance)

Solving for distance gives ...

  distance = (4 ft)/tan(50°) ≈ 3.3564 ft ≈ 40.28 in

The steps need to start about 3.36 feet, or about 40.3 inches, out from the house.

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Factoring y+3 out, we get (y+3)(3y + 1), which prove to be the correct set of factors.  Multiply these together to ensure that the product is indeed y^2 + (10/3)y + 1.


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