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3 years ago

34.

Mathematics

2 answers:

poizon [28]3 years ago

6 0

Answer:

The lateral surface area of the triangular prism is 379.5sq units

Step-by-step explanation:

The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.

It is given that the height of the prism is 16.5 meters.

To determine the lateral surface area of the prism, let us use the formula

where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.

Here and

Substituting these values in the formula, we have,

Simplifying, we get,

Multiplying, we get,

Thus, the lateral surface area of the triangular prism is

xxMikexx [17]3 years ago

3 0

Answer:

379.5

Step-by-step explanation:

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List the next four multiples of fraction 7/12

Sidana [21]

<h2>Hello!</h2>

The answer is:

$\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5$

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of $\frac{7}{12}$ are:

$\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}$

Have a nice day!

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3 years ago

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Step-by-step explanation:

Factor the following:

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4 a^2 - 25 = (2 a)^2 - 5^2:

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Answer: (2 a - 5) (2 a + 5)

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