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

Related Questions

What is the amount of the average rate of change?

Answers

Answer: constant, average rate of change= -2

Explanation: use the (rise/run) method to find the average rate of change.

m=(-2/1)

PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!

Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?

Round the decimal to the nearest tenth.

Answers

(2.75 x 10⁵ ) / (2.25 x 10² )

= (2.75 / 2.25) x 10⁵⁻²

= 1.2 x 10³ times .

(That's 1,200 times as many.)

I hope this helps!

Answer:

1221.2 times more

Step-by-step explanation:

number of bacteria last week = [tex]2.25*10^2[/tex]

= [tex]2.25*100[/tex]

= [tex]225[/tex]

number of bacteria this week = [tex]2.75*10^5[/tex]

= [tex]2.75*100000[/tex]

= [tex]275000[/tex]

[tex]275000 - 225 = 274775[/tex]

[tex]274775 / 225 = 1221.2[/tex]

The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96​

Answers

Answer:

(c) 84

hope this helps!!!!

Can someone please help me get surface area and lateral surface area

Answers

Answer:

Step-by-step explanation:

suface area of base=1/2×9×7.8=9×3.9=35.1 yd²

lateral surface area=3×1/2×9×10=135 yd²

total surface area=135+35.1=170.1 yd²

i assumed it is an equilateral triangular base.

as √(7.8²+4.5²)=9.0049≈9

simplify :
26-10/2x5+3

Answers

Answer:

16/13 is the answer.

26-10 is 16 and 2x5+3 is 13

Answer:

4

Step-by-step explanation:

26 - 25 + 3

Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?

Answers

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

In one city, 24% of adult smoke. In groups of size 130 of adults , what is the variance of the number that smoke ?

Answers

Answer:

[tex]X=24[/tex]

Step-by-step explanation:

From the question we are told that:

Probability of  having a smoker [tex]P(s)=0.24[/tex]

Sample size [tex]n=130[/tex]

Generally the equation for Variance X is mathematically given by

 [tex]X= np(1-p) =[/tex]

 [tex]X= (130)(0.24)(1-0.24)[/tex]

 [tex]X = 23.712[/tex]

 [tex]X=24[/tex]

What Did You Understand In The Picture

Answers

sun that is shown with the help of lane

Please answer it all this is very important

Answers

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

Thank you to whoever helps :)

Answers

(-5, -1)

Hope this helps! :)

what is the measure of angle 3? Sorryyyy the question got cut off

Answers

Answer:

142

Step-by-step explanation:

angle <3 is supplementary to 5x + 3

5x + 3 + 21x - 5 = 180 (because two angles are supplementary as well)

26x  - 2 = 180 add 2 to both sides

26x = 182 divide both sides by 26

x = 7

<3 + 5x + 3 = 180 replace x with 7 and rewrite equation

<3 + 38 = 180 subtract 38 from both sides

<3 = 142

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answers

Given:

The image of a lens crosses the x-axis at –2 and 3.

The point (–1, 2) is also on the parabola.

To find:

The equation that can be used to model the image of the lens.

Solution:

If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.

It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.

So, the equation of the parabola is:

[tex]y=k(x+2)(x-3)[/tex]          ...(i)

Where, k is a constant.

It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).

Putting [tex]x=-1, y=2[/tex] in (i), we get

[tex]2=k(-1+2)(-1-3)[/tex]

[tex]2=k(1)(-4)[/tex]

[tex]2=-4k[/tex]

Divide both sides by -4.

[tex]\dfrac{2}{-4}=k[/tex]

[tex]-\dfrac{1}{2}=k[/tex]

Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get

[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]

Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].

Note: All options are incorrect.


Instructions: Find the equation of the line through point (3, 4) and perpendicular to y = –2x – 4

Answers

Answer:

y=1/2x+5/2

Step-by-step explanation:

y=ax+b

vuông góc với y = –2x - 4 ⇒a.(-2) =-1⇒a=1/2

phương trình của đường thẳng đi qua điểm (3, 4) ⇒4=3.1/2+b⇒b=5/2

⇒y=1/2x+5/2

I don’t understand help

Answers

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

 

PLEASE PLEASE PLEASE HELP ME WITH THIS ASAP

You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.

You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ ( _____, _____)
Scale factor: ______

Answers

Answer:

scale factor: 2

translation: (x+2, y+7)

Step-by-step explanation:

what is the answer to -2/3x + 9 = 4/3x - 3?

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

Please help me, Please

Answers

Answer:

7th graders in the school

Step-by-step explanation:

if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves

Answer:

A.7th graders in the school

Step-by-step explanation:

Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.

The graph represents the piecewise function:


100 POINTS !!!

Answers

Sorry I never did that before.

What is the value of f(3) in the function below?
F(x) = 2^x

A. 8

B. 4

C. 16

D. 6

Answers

Answer:

A. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2ˣ

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(3) = 2³Evaluate:                                                                                                           f(3) = 8

Answer:

it's 8

Reason:

substitute x=3 into the function....it'd be 2³, which is 8

Does anyone know the answer to this?

Answers

Answer:

3

Step-by-step explanation:

Answer:

The answer is number 2

Step-by-step explanation:

Since the price of a quarter is 25 cents we put the .25 it next to the Q and since dimes are worth 10 cents we put the .10 next to the D. D + Q should equal 30 since that is the total number of coins and the other should equal 4.80

Just need some help please

Answers

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

I’m pretty sure you cut out an answer choice because none of those listed are correct so It should be D if D is “y=4/5x-2”. It’s NOT B because the line on the graph is positive and not negative.

Joanne is playing a game with her friends. She is
not doing very well. Currently Joanne is in debt 420
points. On her next turn she loses another 30
points. What is Joanne's score now?

Answers

Answer:

390 points

Step-by-step explanation:

Previous points = 420 pointsPoints she lost = 30 points

⇒ New score = (420 - 30) points

New score = 390 points

Joanne's score is now 390 points.

HELP ASAP PLS I NEED HELP

Answers

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.

Answers

c) Salaried pay. Salaried employees make more per week than hourly employees.

Answer:

C. Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

edge 2021

Ranking brainliest if correct :)) thanksss

Answers

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.

What is the latest time she should leave home?

Give your answer as a time in the 24-hour clock.

Answers

Answer:

12:30

Step-by-step explanation:

What is all numbers that equal to 4 in Multiplication

Answers

The answer is:

2x2
1x4

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

I Need help with thistle...

Answers

Anthony was the one who read more.

Answer:

Anthony

Step-by-step explanation:

Mehod I - Common denominator

Use common denominator of 5 * 8 = 40

Cody

3/5  = 24/40

Anthony

5/8 = 25/40

-----------------------------

Method II - convert to decimal

Cody

3/5 = 0.6

Anthony

5/8 = 0.625

------------------------

Either way

Anthony read a greater fraction

PLZ HURYY
THANK YOUU​

Answers

y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other

what is the slope of this line? y=-3x+1

Answers

Answer:

The slope is -3, also written as -3/1.

Answer:

-3

Step-by-step explanation:

it is simply the (m) in y = mx + b

m is the slope

and b is the y intercept

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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