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Pepsi [2]
4 years ago
12

The net of a triangular prism is show below.Find the rotal surface area of the triangular prism 4.6,4,5,15

Mathematics
1 answer:
marysya [2.9K]4 years ago
7 0

Answer:

228.4cm²

Step-by-step explanation:

Find the diagram attached

Total surface area of the prism = Ph + 2B

P is the perimeter of the base (triangle)

h is the height of the prism

B is Base area

P = 5cm + 5cm + 4cm

P = 14cm

h = 15cm

B = 1/2 * base * height

B  = 1/2 * 4.6 * 4

B = 4.6 * 2

B = 9.2cm²

Substitute the values into the formula;

Total surface area of the prism = Ph + 2B

Total surface area of the prism = 14(15)+2(9.2)

Total surface area of the prism = 210 + 18.4

Total surface area of the prism = 228.4cm²

Hence the total surface area of the triangular prism is 228.4cm²

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A hair care company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount
mr_godi [17]

Answer:

Batch 1:  Pineapple = 3 1/2; Banana = 1 2/5

Batch 2:  Pineapple = 8; Coconut = 4 4/5

Batch 3:  Banana = 1; Coconut = 1 1/2

Step-by-step explanation:

For Batch 1:

We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:

3/10x = 2 1/10

Converting 2 1/10 to an improper fraction, we have

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Divide both sides by 3/10:

3/10x ÷ 3/10 = 21/10 ÷ 3/10

To divide fractions, flip the second one and multiply:

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This means we have 7 total of the mixture.

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For Batch 2:

1/5 of the total is banana; we have 3 1/5 banana:

1/5x = 3 1/5

Convert the second fraction to an improper fraction:

1/5x = 16/5

Divide both sides by 1/5:

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Flip the second fraction and multiply:

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1/2x = 2 1/2

Convert the fraction on the right to improper:

1/2x = 5/2

Divide both sides by 1/2:

1/2x÷1/2 = 5/2÷1/2

Flip the second fraction and multiply:

x = 5/2×2/1 = 10/2 = 5

We have 5 total shampoo.

Banana is 1/5 of this:

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3/10(5) = 15/10 = 1 5/10 = 1 1/2

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Answer:

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Step-by-step explanation:

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