Cam's tent (shown below) is a triangular prism.
2 m
2 m
1.7 m
3 m
AK
*
1 m 1 m
Find the surface area, including the floor, of his tent.

Answers

Answer 1

Answer:

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

  S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle =  × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base =  × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²


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Step-by-step explanation:

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Answers

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Answer:

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Transformed equation:  [tex]y = (x - h)^2+ k[/tex]

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

Part (a)

Given equation:  [tex]y=x^2+5[/tex]

Rewriting in transformed equation form:  [tex]y=(x-0)^2+5[/tex]

Therefore, the parabola is translated 5 units up.

Part (b)

Given equation:  [tex]y=(x-3)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x-3)^2+0[/tex]

Therefore, the parabola is translated 3 units right.

Part (c)

Given equation:  [tex]y=(x+7)^2[/tex]

Rewriting in transformed equation form:  [tex]y=(x+7)^2+0[/tex]

Therefore, the parabola is translated 7 units left.

Part (d)

Given equation:  unreadable

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Answers

Answer:

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