A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Answers

Answer 1

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3[/tex]

A Regular Hexagonal Prism Has An Edge Length 12 Cm, And Height 10 Cm. Identify The Volume Of The Prism

Related Questions

8
To rent a car, Jorge spent $415 in rental
fees plus $86 for insurance. He also paid
$2 per day for tolls, plus $5 per day for
roadside assistance. Jorge rented the car
for a total of 12 days.
Based on the expression below, what is
the total amount of money that Jorge
spent? (6.7A | Lesson 5)
1
415 +86 + 12(2 + 5)

Answers

415+86+12(2+5) first start by multiplying 12 and 2 and you will get 24 then multiply 12 and 5 and you get 60 so 415+86+24+60=585

Please help (7th grade math)
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?

(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)

Answers

The scatter plot shows the association between the ordered pairs

The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)

How to determine the two best ordered pairs?

To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal

See attachment for illustration

From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides

Hence, the two ordered pairs are (0, 13) and (10, 0)

Read more about scatter plots at:

https://brainly.com/question/2820882

Answer: (0,13) and (10,0)

Step-by-step explanation:

I took the test on flvs.net

Help Me (I am doing this on paper)

Answers

Either a or d (I’m not sure but Ik it’s one of Those)

Write the ratio as a fraction in simple form, with whole number in the numerator and denominator 2. 7 hr to 7. 2 hr

Answers

Answer:

  3/8

Step-by-step explanation:

A ratio is expressed in lowest terms by removing common factors from numerator and denominator.

  [tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]

The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?

Actual distance = [ ? ] km

Answers

Answer:

1cm=20km

multiply both sides by 9

you get

9cm=20x9km

9cm=180km

What is the product of 17 and 41

Answers

Answer:

697

Step-by-step explanation:

A product is an answer to a multiplication question

I need help this question says solve for x. Round to the nearest tenth, if necessary

Answers

Answer: 49.8

Step-by-step explanation:

solve the inequality 4p-5<25

Answers

Answer:

p<15/2

Step-by-step explanation:

p<(25+5)/4

p<30/4

p<15/2


PLEASE HELP! I WILL GIVE BRAINLIEST! NO LINKS PLEASE!!

Answers

Answer:

number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable

Step-by-step explanation:

1: 542 mg =____g
2: 39 cm = ____m
3: 0.75 m =____cm
4: 6,367 mm= ___m
5: 6.5 g =___ mg
6:736 m = ___ km
7:12 g =____ kg
8:22 cm =___m

Answers

1-0.542g
2-0.39m
3-75
4-6.367m
5-6500mg
6-0.736km
7-0.012kg
8-0.22m

I hope that answers your question
1:0.542g
2: 0.39m
3: 75
4: 6.367m
5:6500mg
6: 0.736km
7:0.012kg
8: 0.22m

please help :)))))))))))))

Answers

Answer:

C

Step-by-step explanation:

If that is wrong tell me. I am sure it is right tho

PLLSS HELP ILL GIVE BRAINLIST PLLLLLSSSS

Identify the multiplication problem that matches the model.



3 x 3


3 x

3

5


2 x

3

5


3 x

Answers

I believe it’s 3 x 3

For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050

Answers

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

What year would be sufficient to make a prediction?

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

Please find attached the complete question. To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ1

Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6

Answers

Answer: 16

Step-by-step explanation:

PLEASE HELP!!

The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.

Answers

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of each pizza and y the cost of each drink. Hence:

3x + 5y = 47.45  (1)

Also:

4x + 8y = 65.92  (2)

From both equations:

x = 12.5, y = 1.99

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

Find out more on equation at: https://brainly.com/question/2972832

you purchase a used car for 5000 and discover that it decreases 10% per year write an equation that represents this situation

Answers

Answer:

See below

Step-by-step explanation:

Decreasing 10% means the car retains 90 % of its value

Value of car = 5000 ( .90)^x      where x = number of years

Please help me I can’t figure it out

Answers

Answer:

20

Step-by-step explanation:

To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.

Given expression: 32 -4a

When a= 3,

32 -4a

= 32 -4(3)

= 32 -12

= 20

Answer:

20 is the value of expression when a is equal to 3 .

Step-by-step explanation:

In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .

Solution : -

[tex] \longmapsto \: 32 - 4a[/tex]

Step 1 : Substituting value of a in given expression :

[tex] \longmapsto \:32 - 4(3)[/tex]

Step 2 : Multiplying 4 with 3 :

[tex] \longmapsto \:32 - 12[/tex]

Step 3 : Subtracting 12 from 32 :

[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]

Therefore , value of expression for 3 is 20 .

#Keep Learning

Maya just turned 14 years old. Her parents started saving $350 each month for her college.
education when she was born. Her parents want to make sure there will be enough money in
her account by the time she turns 18 to cover tuition and expenses at an in-state, four-year
college. How much will Maya's parents need to raise their monthly contribution for the next 4
years if they want to save at least $80,000?

Answers

Answer:

$91.66

Step-by-step explanation:

We need to calculate how much they've saved so far. So we multiply 12 * 14 to get 168 months (14 years). Then we can multiply 350 by 168 to get $58,800.

We then subtract 58,800 from 80,000 to get 21,200 left to cover over 4 years. In 4 years, there are 48 months so we just divide 21,200 by 48 to get 441.66.

Subtract 350 from 441.66 to get 91.66.

We can check this by doing (350*168) + (441.66 * 48).

Hope this helps,

As always, correct me if I'm wrong

Answer:

Given :-

Money saved by her parents each month = $350

Time = 14 years = 14 × 12 = 168 months

To find :-

How much money ger parents have to save in next 4 years to achieve the goal of $80,000

Total money saved in 14 years = 350 × 168 = $58,800

Total money left to achieve goal = 80,000 - 58,800

= $21,200

Money they have saved next 4 years in each month to achieve the goal

[tex] = \frac{21200}{4 \times 12} \\ = \frac{21200}{48} \\ = 441.69 [/tex]

They need $441.69 each month to complete $80,000 for her college.

somebody pls help me

im not very smart 7u7

Answers

Answer:

[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]

so therefore area is 72cm²

please What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want. PLEASE ANSWER QUICK

Answers

Answer:

Computer Science is more harder so I would go with Precalculus.

What expression represents the volume of the cone, in cubic units? two-thirdsπx3 four-thirdsπx2 2πx3 4πx3

Answers

The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

Volume of cone

The volume of a cone is given by the following formula presented below;

V = ¹/₃πr²h

where;

V is volume of the coner is radius of the coneh is height of the cone

The volume of a cone can be determined by multiplying the square of the radius and height of the cone.

Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.

Learn more about volume of cone here: https://brainly.com/question/20099462

Answer:

[tex]\frac{2}{3}[/tex] π x³

Step-by-step explanation:

4 Suki watches a movie and eats a snack afterward. The movie starts at 7:15 PM
and is 1 hours long. Suki finishes her snack at 9:10 PM. How long does Suki
spend eating a snack?
Show your work.


It’s question 4 btw

Answers

Answer:

25 minutes long

Explanation:

Hope this helps!

Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?

For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!

Diagram to better understand maybe? (I did the best I could with this lol)

                                              x (the 25 minutes you found once you solved it)

                                                                                      ^

7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM

^                                                          ^                                                            ^

Time the movie started          Movie length             When she finished eating

♡ I am so proud of you! You are doing amazing and you are glowing! Keep up the great work and have a good day! ♡

What is value of 22y-6

Answers

260

Step-by-step explanation:

11y + 6 =139

-6

11y. = 133

÷11

y. = 133/11

22y - 6

22 x 133/11 - 6

=260

Hope this helps!

Step-by-step explanation:

[tex]11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909[/tex]

so,

[tex]22y - 6 \\ 22(12.1) - 6 \\ = 260[/tex]

Choose the function whose graph is given below.

Answers

C. Y=csc x
If you have further questions like this I recommend Desmos which is a graphing calculator that will make things way easier

If TR = 11 ft, find the length of PS. Round to the nearest hundredth.

P

T

R

16°

S

arc PS =

ft

Answers

The length of arc PS from the information given in the task content is; 31.5 ft.

What is the length of the arc PS?

It follows from the task content that;

Point T is the center of the circle and line TR is the radius of the circle.

Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

Read more on length of an arc;

https://brainly.com/question/2005046

#SPJ1

Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP

Answers

Answer:

x - 6y - 2 = 0

Step-by-step explanation:

Let “m” be the slope of line AB

and “a” be the slope of the line that passes through C and is perpendicular to AB

Then

[tex]m = \frac{6-0}{1-2} =-6[/tex]

The second line is perpendicular to AB

then

m × a = -1

then

-6 × a = -1

then

[tex]a=\frac{1}{6}[/tex]

C(2,0) lies on the line of equation y=ax+b

⇔ C(2,0) lies on the line of equation y=(1/6)x+b

⇔ 0 = (1/6)×2 + b

Then b= -1/3

Therefore Our equation is :

y = (1/6)x - 1/3

⇔ 6y = x - 2

⇔ x - 6y - 2 = 0

The number of water bottles used during a team's football practice varies directly with the temperature. If a team
uses 75 bottles when the temperature is 60°, what is the temperature if they use 120 bottles?

Answers

Answer:

96 degress letter G

Step-by-step explanation:

Find the length of the unknown side using the Pythagoras theorem

SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

Step-by-step explanation:

12

Answer:

a) 12

b) 11

c) 8

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]

a is the shorter side,

b is the longer side,

c is the hypotenuse.

a) [tex]a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12[/tex]

b)[tex]a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11[/tex]

c)[tex]a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8[/tex]

Complete the equation of this circle:
A
1
[ ]=z([_]_^)+z([ ¿ ] − x)
Enter ⚠️NEED HELP ASAP WILL GIVE BRAINLIEST⚠️

Answers

Answer:

(x - 3)^2 + (y - 2)^2 = 4^2

Step-by-step explanation:

Looking at the graph its obviously a circle as it said.

We have to find (h,k) and the radius of that circle.

(h, k)  = (3,2)

Origin to the edge of the A.

radius = 4

(x - 3)^2 + (y - 2)^2 = 4^2

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?

Answers

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

Neither

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{and} [/tex]

[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

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