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2 years ago

9

Calculate 3n-1 for n equals 2 to 10 explain how you know that the numbers are composite

1 answer:

Troyanec [42]2 years ago

5 0

composite number means a number that can be formed by multiplying two smaller numbers

3n-1 for n=2, 3n-1=3*2-1=6-1=5

3n-1 for n=10, 3n-1=3*10-1=30-1=29

5 is composite because 2*2.5=5

29 is composite because 5*5.8=29

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Part B if the height of each prism is 10 Cm what is the surface area prism

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Answer:

Prism A:

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Prism B:

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Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

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$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

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$s = \frac{a + b + c}{2}$

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From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

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Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

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$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

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So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

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