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nadya68 [22]
3 years ago
7

Mark wants to build a ramp in the shape of a triangular prism out of solid wood. The ramp is drawn below with its dimensions.

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

2,250 ft³ wood need to construct the ramp.

Step-by-step explanation:

Given:

Length of ramp = 20 ft

Base of ramp = 15 ft

Height of ramp = 15 ft

Given figure is a right triangular prism.

Find:

Volume of right triangular prism = ?

Computation:

Volume\ of\ right\ triangular\ prism = \frac{1}{2}(base)(heght)(length)\\\\ Volume\ of\ right\ triangular\ prism = \frac{1}{2}(15)(15)(20)\\\\Volume\ of\ right\ triangular\ prism = 2,250\ ft^3\\\\

Therefore, 2,250 ft³ wood need to construct the ramp.

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Step-by-step explanation:

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The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

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From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

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The rule of dilation is calculated using:

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So, we have:

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B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

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C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

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See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

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4 0
2 years ago
Calculate the mass of sodium azide (2NaN3) required to decompose and produce 1.20 moles of nitrogen.
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Answer:

The answer to your question is:  40.8 g of NaN₃

Step-by-step explanation:

NaN₃ mass = ?

nitrogen = 1.2 moles

Equation

                           2NaN₃      ⇒ 2Na  +  3N2

                          2 moles of NaN₃  -----------------   3 moles of N₂

                           x                          ------------------   1.2 moles of N₂

                          x = (1.2 x 2) / 3

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                = 51 g

                         51 g of NaN₃ ----------------- 1 mol

                         x                    ----------------- 0.8 mol

                         x = (0.8 x 51) / 1

                        x = 40.8 g of NaN₃

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