Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Volume = 72.66 in.?

Х

2 in.

Answers

Answer 1

Answer:

[tex]x = 6.99in[/tex]

Step-by-step explanation:

Given

[tex]l =2in[/tex]

[tex]Volume = 72.66in^3[/tex]

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]

This gives:

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]

[tex]Base\ Area= 3\sqrt 3 * 2[/tex]

[tex]Base\ Area= 6\sqrt 3[/tex]

Side x represents the height.

So, we have:

[tex]Volume = Base\ Area*x[/tex]

Make x the subject

[tex]x = \frac{Volume }{ Base\ Area}[/tex]

[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]

[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]

[tex]x = \frac{12.11}{\sqrt 3}in[/tex]

[tex]x = 6.99in[/tex] --- approximated

Find The Missing Dimension Of The Prism. Round Your Answer To The Nearest Hundredth.Volume = 72.66 In.?2

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Answers

Answer:

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Step-by-step explanation:

f(14)= f (3 + 11)

= f(3) = 12

Therefore the value of f(14) is 12.

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Answer:

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Answers

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Step-by-step explanation:

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Total marks: 3

Answers

Answer:

As 3-4-5     5-12-13 is a right triangle

5^2 + 12^2 = 25 * 144 = 169 = 13^2

Not sure how POR is designated, but

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Answer:

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Answers

Answer:

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Step-by-step explanation:

2.07 x 1.7 =  3.519

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Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:  -3/4  (choice C)

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

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-3/4

which points us to choice C as our final answer

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Answers

Answer: (10/3)

Explanation:

(4/3)/(2/5) = (10/3)
Multiply by reciprocal
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Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Answers

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[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

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Answers

Answer:

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Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

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35.18576

Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Create inequality: 44 < 55 < 81

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Have a nice day!!!

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Answers

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Step-by-step explanation:

I used internet

Answer:

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Step-by-step explanation:

x^2 + 8x + 7 = 0

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a bag with 3 red marbles,4 blue marbles and 5 yellow marbles.what is the probability you draw a blue marble?

Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.

Step-by-step explanation:

Multiplying x by a number greater than 1 will stretch the parabola.

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10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?​

Answers

Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

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