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boyakko [2]
3 years ago
11

You are a building contractor. A customer asks you to build a ground-level deck that is 12 feet by 12 feet by 9 inches. You go t

o the lumberyard to order wood. The attendant assures you that the yard has enough wood to build the deck. According to the attendant, the yard currently has 1,750 cubic feet of lumber in its inventory.
Does the lumberyard have enough wood to purchase to build the deck?

1.There is not enough wood. The deck needs 86 board feet more wood than available.

2.There is enough wood. The yard has 130 board feet of wood more than you need.

3.There is enough wood. You need 1,296 board feet of wood to build the deck.

4.There is enough wood. You need approximately 1,556 board feet of wood to build the deck.

5.There is not enough wood. You need approximately 1,858 board feet of wood to build the deck.
Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

Number 3 will be the correct answer, and the yard will still have about 454 cubic feet of wood left

Sorry if this is wrong

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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that
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Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

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For triangle DEF, we have:

DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2

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Divide corresponding sides of the triangles to calculate the scale factor k

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Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

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