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2 years ago

Select a composite number to break into factors. Continue factoring until all factors are prime

Mathematics

1 answer:

Sladkaya [172]2 years ago

7 0

Answer:

2*2 * 2*2 * 2*3

Step-by-step explanation:

96 =16 *6

Break these down, since neither 16 nor 6 are prime

= 4*4 * 2*3

4 in not prime, but 2 and 3 are prime

= 2*2 * 2*2 * 2*3

All of these are prime

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The total surface area of the three figures are 702 square feet.

<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ( $A_{T}$ ), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

$A_{T} = n\cdot A$

$A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\$

$+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]$

$A_{T} = 702\,ft^{2}$

The total surface area of the three figures are 702 square feet. $\blacksquare$

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

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2 years ago

The perimeter of a square is 52 find the area of the square

34kurt

Answer:

169 sq. units

Step-by-step explanation:

If the perimeter of a square is 52, then one of its side lengths will be 13. This is because the side lengths of a square are all equal: you can find the length of one side by just dividing the perimeter by 4. Now that you have the length of one side, you can find the area of a square by multiplying said length by itself. 13 x 13 = 169.

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2 years ago