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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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4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co
Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

3 0
3 years ago
What is 6 over 9 simplified
Snezhnost [94]

Answer:

2/3

Step-by-step explanation:

\frac{6}{9}

\frac{6}{9}  =  \frac{2 \times 3}{3 \times 3}

=  \frac{2}{3}  \times  \frac{3}{3}

=  \frac{2}{3}  \times 1 =  \frac{2}{3}

I hope it helped you

3 0
2 years ago
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2m + 7m + 3m = 72<br><br> whats the answer step by step
Korolek [52]

Answer:

m = 6

Step-by-step explanation:

First, add like terms:

2m + 7m + 3m = 72

12m = 72

Divide each side by 12:

m = 6

So, the answer is m = 6

5 0
2 years ago
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On a certain map. 2.5 inches represents 15 miles. Bay City and Greenwood are 4 inches apart on the map. What is the actual dista
lubasha [3.4K]
2.5 =15
4=x
4/2.5= 1.6
15 times 1.6 is 24
8 0
3 years ago
-3+5x=12<br> jljlljj j kjljjlknlnlknlk
monitta
<h3 /><h3>- 3 + 5x = 12 \\ 5x = 12 - 3 \\ 5x = 9 \\ x =  \frac{9}{5}</h3>

4 0
2 years ago
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