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Llana [10]
3 years ago
12

Find volume of a A hexagonal prism

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
The prism volume is given by:
 V = (6) * (1/2) * (L) * (ap) * (h)
 
 Where,
 L: hexagon side
 ap: hexagon apothema
 h: prism height
 Substituting values we have:
 V = (6) * (1/2) * (11) * (9.5) * (7)

 V = 2194.5 feet ^ 3
 Answer:
 
The volume of the hexagonal prism is given by:
 
V = 2194.5 feet ^ 3
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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
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<u>1) Determine the slope of the parallel line</u>

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3x = 2y

Switch the sides

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Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

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0-6=6+b-6\\-6=b

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y=\frac{3}{2} x-6

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The density of lead is 11.4g/cm^3 at 25 degrees C. Calculate the volume occupied by 25.0g of lead
ElenaW [278]

Answer:

2.193 cm³

Step-by-step explanation:

density is mass divided by volume:

density =  \frac{mass}{volume}

you can manipulate the formula by multiplying with volume:

density \times volume = mass

then dividing by density:

volume =  \frac{mass}{density}

in this case:

volume =  \frac{25g}{11.4 \frac{g}{cm}  }  = 2.193 { \: cm}^{3}

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