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mart [117]
3 years ago
14

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

43.638 cubic meters

Step-by-step explanation:

The triangular prism has 5 faces - 3 rectangular and 2 congruent triangular. Calculate the area of each face then add them together to find the surface area.

The triangles are 5.3 by 1.26 so the area of the two is 6.678.

The largest rectangle face is 5.3 by 3.3 so the area is 5.3*3.3 = 17.49.

The side rectangle face that is 3.3 by 3.6 so the area is 3.3*3.6 = 11.88.

The side rectangle face that is 2.3 by 3.3 so the area is 2.3*3.3 = 7.59.

Add all the areas together.

6.678 + 17.49 + 11.88 + 7.59 = 43. 638

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The diagram shows rectangle ABCD, with diagnal BD. What is the perimeter of rectangle ABCS, to the nearest tenth?
Natalka [10]

Answer:

Perimeter of rectangle ABCD = 32.8 unit (Approx.)

Step-by-step explanation:

Given:

Hypotenuse BD = 12 unit

Angle θ = 30°

Find:

Perimeter of rectangle ABCD

Computation:

Using trigonometry function

Sin θ = Perpendicular / Hypotenuse

Sin 30 = CD / BD

0.5 = CD / 12

Length of CD = 6 unit

Cos θ = Base / Hypotenuse

Sin 30 = BC / BD

0.866 = BC / 12

Length of BC = 10.4 unit

Perimeter of rectangle ABCD = 2[Length + Width]

Perimeter of rectangle ABCD = 2[6 + 10.4]

Perimeter of rectangle ABCD = 2[16.4]

Perimeter of rectangle ABCD = 32.8 unit (Approx.)

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3 years ago
Find the midpoint of the line segment joining the points R(3,2) and S(-5,5).
inessss [21]

The x coordinates are 3 and -5. They add to 3+(-5) = -2

Cut this in half to get -2/2 = -1

The x coordinate of the midpoint is x = -1

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Then we cut this in half to get 7/2 = 3.5

The y coordinate of the midpoint is y = 3.5

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Overall, the midpoint is (-1, 3.5)

<h3>Answer: (-1, 3.5) which is the same as (-1, 7/2)</h3>

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