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erica [24]
1 year ago
15

Can someone help me with this please? thank you!

Mathematics
1 answer:
Stolb23 [73]1 year ago
4 0

Answer:

106 cm²

Step-by-step explanation:

the surface area is the sum of the areas of the faces of the prism

area of 2 rectangles (left/ right ) = 2 × 7 × 5 = 70 cm²

area of central rectangle = 3 × 7 = 21 cm²

area of 2 congruent triangles = 2 × \frac{1}{2} × 3 × 5 = 3 × 5 = 15 cm²

surface area = 70 + 21 + 15 = 106 cm²

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Write two ratios equivalent to 24 : 9.
notsponge [240]

Answer:

8:3

16:6

Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

<u>8:3</u>

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

<u>8:3</u>

8 ⋅ 2:3 ⋅ 2

<u>16:6</u>

<u></u>

So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.

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