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Degger [83]
3 years ago
9

Please please Help! 8 points!

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

  1. area ≈ 59.441 in²
  2. lateral area ≈ 352.671 in²
  3. 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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Alenkasestr [34]
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boom
4 0
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]
<u><em>Answer:</em></u>
volume of prism = 378 cm³

<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism

<u>1- getting the area of base:</u>
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
area of base = 27 cm²

<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³

Hope this helps :)
7 0
3 years ago
Which number is equal to 10 Superscript negative 3? –1,000 –30 0.001 0.003
Karolina [17]

<u>Given</u>:

The given expression is 10^{-3}

We need to determine the equivalent number.

<u>Equivalent expression:</u>

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}}

Also, the term 10³ can be written as 10^{3}=1000

Thus, we get;

\frac{1}{1000}

Dividing, we get;

0.001

Hence, the equivalent number is 0.001

Hence, Option c is the correct answer.

5 0
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From the graph, the domain is 0 ≤ x ≤ 30
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shtirl [24]

Answer:

1335cm³

Step-by-step explanation:

The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

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Apply this given figures in the formula above and we have:

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Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

5 0
3 years ago
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