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3 years ago

Please please Help! 8 points!

Mathematics

1 answer:

Step2247 [10]3 years ago

5 0

Answer:

area ≈ 59.441 in²
lateral area ≈ 352.671 in²
surface area ≈ 471.553 in²

Step-by-step explanation:

1. The area of the regular polygon base of the prism can be found from the formula ...

A = (nr²/2)sin(360°/n) . . . . where r is the radius and n is the number of sides

Filling in the numbers and doing the arithmetic gives ...

A = (5·5²/2)sin(72°) ≈ 59.441 . . . square inches

2. The lateral area is the product of the height and the perimeter. The perimeter of the regular polygon can be found from ...

P = 2nr·sin(180°/n) = 50sin(36°) ≈ 29.389 . . . inches

Then the lateral area is ...

LA = Ph = (29.389 in)(12 in) = 352.671 in²

3. The total area is the area of the two bases together with the lateral area:

S = 2·(base area) + (lateral area) = 2(59.441 in²) + 352.671 in²

S = 471.553 in²

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3 years ago

What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and a

Lina20 [59]

Answer:
volume of prism = 378 cm³

Explanation:
The volume of the right prism can be calculated as follows:
volume of prism = area of base * height of prism

1- getting the area of base:
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
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Hope this helps :)

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3 years ago

Which number is equal to 10 Superscript negative 3? –1,000 –30 0.001 0.003

Karolina [17]

Given:

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Equivalent expression:

To determine the equivalent number, let us solve the expression $10^{-3}$

Thus, let us apply the exponent rule $a^{-b}=\frac{1}{a^{b}}$ , we get;

$10^{-3}=\frac{1}{10^{3}}$

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Thus, we get;

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Dividing, we get;

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Answer:

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