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Oliga [24]
3 years ago
11

What is the surface area of a triangular prism?​

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Step-by-step explanation:

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Help with this question it's PEMDAS
Dafna11 [192]

[3*(2+4)] -4

Parenthesis first:

[3 * 6] -4

Brackets next:

18 - 4

Now subtract:

18-4 = 14


The answer is C. 14

7 0
3 years ago
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Find the total area the regular pyramid.
Ber [7]

Answer: 14\sqrt{3}

Step-by-step explanation:

1. You must apply the following formula for calculate  the total surface area the regular pyramid:

SA=\frac{pl}{2}+B

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

p=3s=3*4=12

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

l=\sqrt{4^2-2^2}=2\sqrt{3}

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

B=2*\frac{bh}{2}=2*\frac{2\sqrt{3}}{2}=2\sqrt{3}

Finally substitute values:

SA=\frac{12*2\sqrt{3}}{2}+2\sqrt{3}=14\sqrt{3}

6 0
3 years ago
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Find the length of the major arc in RED. Round your answers to the nearest tenth.
scoray [572]

Answer:

52.4

Step-by-step explanation:

Arc length = 2πr(θ/360)

r = 10

θ = 300°

Arc length = 2π(10)(300/360) = 20π(0.8333) = 16.666π ≈ 52.36

4 0
2 years ago
What is the largest perfect square factor of 18?
svet-max [94.6K]
The largest perfect square factor of 18 is 9.
6 0
3 years ago
What is the scale factor of AABC to A DEF?
Nina [5.8K]

Answer:

D

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides, image to original, that is

\frac{DE}{AB} = \frac{48}{6} = 8 → D

4 0
3 years ago
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