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Veseljchak [2.6K]
3 years ago
9

The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base titled. What is the volume

of the prism?
Mathematics
1 answer:
joja [24]3 years ago
4 0
The answer is
the volume of the prism is 648\ cm^{3}
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A regular hexagon is shown.
zhuklara [117]

The central angle of the hexagon is equal to 60º.

Therefore, the trigonometric relationship for the radius is given by:

cos (30) = \frac{a}{c}

Where,

a: apothema of the hexagon

c: Hexagon radius.

Clearing the radio we have:

c = \frac{a}{cos (30)}

Substituting values:

c = \frac{12}{cos (30)}  c = 13.85

Rounding to the nearest whole number we have:

c = 14 in

Answer:

The measure of the radius, c, rounded to the nearest inch is:

C. 14 in.

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3 years ago
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Erin wants to carpet the floor of her closet. a floor plan of the closet is 4ft x 10ft x 3ft x 6ft. how much carpet does Erin ne
sammy [17]
You have to muliply it all togeather to get the exact answer. 4 times 10 equals 40 40 times 3 equals 120 then 120 times 6 equals 720 and thats the right answer
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3 years ago
What is the value of x? (will give brainliest if you show your work) PLEASE HELP
andrew-mc [135]
Check the picture below.

\bf \cfrac{8}{12}=\cfrac{x+4}{2x+1}\implies 16x+8=12x+48\implies 4x=40
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x=\cfrac{40}{4}\implies x=10

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How do u solve -18-6k=6 (1+3k)
Anarel [89]
Let's solve your equation step-by-step.<span><span><span>−18</span>−<span>6k</span></span>=<span>6<span>(<span>1+<span>3k</span></span>)

</span></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−18</span>−<span>6k</span></span>=<span>6<span>(<span>1+<span>3k</span></span>)
</span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>6k</span></span>−18</span>=<span><span>18k</span>+6

</span></span>Step 2: Subtract 18k from both sides.<span><span><span><span>−<span>6k</span></span>−18</span>−<span>18k</span></span>=<span><span><span>18k</span>+6</span>−<span>18k</span></span></span><span><span><span>−<span>24k</span></span>−18</span>=6

</span>Step 3: Add 18 to both sides.<span><span><span><span>−<span>24k</span></span>−18</span>+18</span>=<span>6+18</span></span><span><span>−<span>24k</span></span>=24

</span>Step 4: Divide both sides by -24.<span><span><span>−<span>24k</span></span><span>−24</span></span>=<span>24<span>−24</span></span></span><span>k=<span>−1

</span></span>Answer:<span>k=<span>−<span>1</span></span></span>
5 0
3 years ago
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