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GarryVolchara [31]
3 years ago
10

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

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

x = 6.99in

Step-by-step explanation:

Given

l =2in

Volume = 72.66in^3

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

Base\ Area= \frac{3\sqrt 3}{2}l^2

This gives:

Base\ Area= \frac{3\sqrt 3}{2} * 2^2

Base\ Area= \frac{3\sqrt 3}{2} * 4

Base\ Area= 3\sqrt 3 * 2

Base\ Area= 6\sqrt 3

Side x represents the height.

So, we have:

Volume = Base\ Area*x

Make x the subject

x = \frac{Volume }{ Base\ Area}

x = \frac{72.66in^3}{6\sqrt 3 in^2}

x = \frac{72.66}{6\sqrt 3}in

x = \frac{12.11}{\sqrt 3}in

x = 6.99in --- approximated

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2 years ago
Which statement correctly compares the mean number of students for the data in the plots?
satela [25.4K]

Answer:

<em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

Step-by-step explanation:

We need to compute the mean for each.

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Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

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<u>Oak Middle School:</u>

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

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We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - <em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

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3 years ago
Please help me with this!!!
Vika [28.1K]

Answer:

Step-by-step explanation:

whatheactualfuk i think its 98?

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3 years ago
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