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Alex777 [14]
3 years ago
6

What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12

inches?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

  • 166.24 in³

Step-by-step explanation:

<u>Volume formula:</u>

  • V = 1/3 Bh, B-base area, h- height

<u>Base area:</u>

  • B = 3√3a² / 2 = 3√3*4² / 2 = 41.57 in (rounded)

<u>Volume:</u>

  • V = 1/3*41.56*12 = 166.24 in³

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Answer:

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Step-by-step explanation:

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Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting fiv
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<em>Question:</em>

<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>

Answer:

Countries \geq 50 + 5y

y \leq 29

Step-by-step explanation:

Given

Countries = 50 ------ at least

Yearly =5

Required

Represent as an inequality

"at least" means \geq

So the countries he has visited can be represented as thus;

Countries \geq 50

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

Countries \geq 50 + 5y

To determine the value of y.

We have that

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<em>Substitute 195 for Countries</em>

195 \geq 50 + 5y

<em>Collect Like Terms</em>

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<em>Reorder</em>

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This means that; he'll visit all countries in at most 29 years' time

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