A regular hexagonal prism has an edge length 11 cm, and height 8 cm. Identify the volume of the prism to the nearest tenth.

Answers

Answer 1

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer 2

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.


Related Questions

Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your
answer to the nearest tenth if necessary.
E
H
32
C
D
17.7
F
G
58

Answers

Answer:

104.9 units

Step-by-step explanation:

using the polygon similarity postulate (PSP), 32/x=17.7/58

32/x=17.7/58

58*32=17.7x

1856=17.7x

x=104.858757062

round answer to the nearest tenth

x=104.9 units

Number 9 please help 10 points no links pleAse

Answers

Answer:

Step-by-step explanation:

The answer is option D

Answer:

D

Step-by-step explanation:

There is 5 leaves measured as 12 cm long and 3 leaves measured as 15 cm long

5 - 3 = 2

Timia needs so cash in a hurry she owns her car outright and is considering a title loan. The lender told timia she could borrow 1750 for 1 month

Answers

The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.

I would assume that the fee which Timia would pay as interest on the 1 - month loan is x

Answer:

r = x / 145.83333

Step-by-step explanation:

If interest paid, I = x

Principal, P = $1750

And period (time) of loan = 1 month = (1/12) = 0.0833333

Rate = r

Using the simple interest formula :

Interest = Principal * rate * time

x = 1750 * r * 0.833333

Make r the subject :

x = 145.83333r

Divide both sides by 145.83333

Hence, the rate value , r becomes :

r = x / 145.83333

Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .

Classify the scenarios based on whether they are observational studies, experimentsor surveys. Scenarlo A: Twenty employees of a company are randomly selected and asked if they would like the company to revise the existing dress code Scenarlo B: Analysts at an energy research compare the frequency of power outages caused by snowfall in different states over the past decade. Scenarlo To determine and compare the accuracles of pedometer X and pedometer Y researchers randomly ask Consumers to use one of the two pedometers and then analyze the results. D: At a coffee shop, ten customers are randomly selected each day and asked how many times a week they visit the shop.

Answers

Answer:

Scenario A: Survey

Scenario B: Observational Studies

Scenario C: Experiment

Scenario D: Survey

If it not the answer you can correct me

Find tan A for the triangle below.

Answers

Answer:

Hola Amigo mate!

The answer is

Tan A= 0.667Here's the step by step explanation:-

So, here tan A means opposite side divided by the adjacent side.

TAN A= [tex]\frac{Opposite}{adjacent}[/tex]

Opposite of side A is 10cm and its adjacent side is 15cm!

So, TAN A IS:- [tex]\frac{10}{15}[/tex]

Tan A= 0.667

GUYS I'M FAILING AND IM GONNA GET IN SO MUCH TROUBLE how sobi convince a teacher to let me do my old assignments that are locked​

Answers

Answer:

just be like im really trying to work on getting my grades up i fell off a little bit bc of some stuff at home and im busy sometimes but im serious about my work and it would mean the world to me if you could let me redo some assignents that i failed or that are locked i want my parents to be proud of me for once, thanks (they name)

Step-by-step explanation:

Zoom In to see I need help

Answers

Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

helppp ME PLEASEEEEE :))))!!!

Answers

Answer:

0.0567 x 10^4 < 2.3069 x 10^3 < 0.04069 x 10^5

Step-by-step explanation:

2.3069 x 10^5

4.069 x 10^5

0.567 x 10^5

A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on the animals. How many cows and how many chickens does the farmer have?

Answers

Answer:

13 chickens and 21 cows

Step-by-step explanation:

Need the answer real quick

Answers

Answer:

1. x+y=20,000

2. 105x+75y=$1,740,000

Step-by-step explanation:

let x be the stage level seats and y be the higher level seats.

Write the equation of the line in fully simplified slope-intercept form.
11
10
8
7
6
5
4
-12-11-10-9-8-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
4
-9
-10
-11
-12

Answers

Answer:

x intercept [a]=3

y intercept [b]=-5

we have

equation of a line is:

x/a+y/b=1

x/3+y/-5=1

(5x-3y)=15

5x-3y-15=0 is a required equation

Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?

**Simplify ALL of the way and round to the NEAREST whole number**

Answers

Answer:

$295,750

Step-by-step explanation:

Given

Tommy's salary increases by 4% each year.

Increase to 4%

1 year = $42,250

7 years = $?

To find

So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.

Set up.

1/42250 x 7/x =

295,750

Therefore, Tommy's salary be in $295,750 7 years.

What do the graphs of these two functions have
in common?
(picture included)

Answers

Answer: A

Function A: y=1/3x+1
Function B:y=1x+3
•A is correct because if you drew the linear line for function A, it would intercept with B on point (1,4) which is also a point for function B.
•B is incorrect because y-intercept in A=1 and B=3, that’s not in common
•C is incorrect because the slope in A=1/3 and B=1, that’s not in common
•D is incorrect because because x-intercept for A=-3 and for B= less than 1

Anchor: If you start with 50 g of a material, how much is half of that? How much is half of half? How much is half of that?​

Answers

Answer:

Step-by-step explanation:

1/2 of 50 grams is the same thing as 50 divided by 2 which is 25

Now you take 1/2 of 25 grams. That's 25 divided by 2. Use your calculator if you're not sure 25 divided by 2 = 12 and 1/2 or 12.5

I think we're down to 1/2 of 12.5

1/2 of 12.5 is 6 and then 0.5/2 which is 0.25

So 1/2 of 12.5 is 6.25

If I left one out, leave a comment.

Just in case 1/2 of 6.25 = 6/2 = 3

1/2 of 0.25 = 0.25/2 = 0.125

so the answer here is 3.125

If I've misunderstood the question, leave a note for that too.

I am confused on this, I would LOVEE some help please!

Answers

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

What is -4.4+(-4.32)

Answers

Answer:

-8.72

Step-by-step explanation:

I need help finding the answer!

Answers

Answer: x=4

Step-by-step explanation:

Since this is a rectangle we already know that all the angles are 90, so we can do this:

46+10x+4=90

50+10x=90

10x=40

x=4

A circular spinner is dividing into 9 equal parts numbered 1-9. What is the probability of spinning a
number less than 8 or a divisor of 15?

Answers

Answer:

7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

It I correct !!

I BEG SOMEONE TO JUST PLS HELP :( and if u wanna answer more questions related ill give u like 100 pts at the end i need this

Answers

number one is D. and number two is A.

Answer:

Step-by-step explanation:

this question is not worth 5 pts and you are a scam so get scamed

Help pls

Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally
priced at $50 but discounted 60%. If sales tax in Kensington is 15%, what was the total cost?

Answers

50x(60/100)
= 30
$50-$30=$20

20x(15/100)
= $3

$20+$3 = $23

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The total cost of the pair of headphones is $23.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/200 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 = 10/100 = 1/10

We have,

Original price of the headphones = $50

60% of $50

= 60/100 x 50

= $30

The price of the headphones after the discount.

= $50 - $20

= $20

The amount of sales tax.

= 15% of $20

= 15/100 x 20

= $3

The total cost.

= $20 + $3

= $23

Thus,

The total cost of the pair of headphones is $23.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

determine the value of k if g(x) =4x+k is a tangent to f(x)= -x² +8x +20​

Answers

Answer:

22

Step-by-step explanation:

222

The value of k in the given functions is; 24

What is the value of the function to the tangent?

We are given the functions;

g(x) = 4x  + k as a tangent to f(x) = -x² +8x +20

For f(x) = -x² +8x +20

=> f'(x)  = -2x + 8

Thus, slope of tangent at ( x , y) = -2x + 8  

For g(x) = 4x  + k

g'(x) = 4.

Thus, slope is 4

Therefore;

-2x  + 8 = 4

-2x = -4

x = 2

Putting 2 for x in f(x) gives;

f(2) = -2² + 8(2) + 20  

f(2) =  32

Thus, it is at (2 , 32)

Thus, (2 , 32) lies on g(x) = 4x + k

4(2) + k = 32

k = 32 - 8

k = 24

Read more about slope of tangent at; https://brainly.com/question/6353432

what is 75 in standard notation?

Answers

Answer:

I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.  

Step-by-step explanation:

hope this helps

A bicycle store costs $2800 per month to operate. The store pays an average of $50 per bike. The average selling price of each bicycle is $90. How many bicycles
must the store sell each month to break even?
The store must sell bicycles each month to break even.
(Type a whole number.)

Answers

Answer:

70 Bikes

Step-by-step explanation:

[using b as a variable for bikes]

2800=-50b+90b

[2800 is total cost of store with-50 being cost per bike and 90 being selling point of bike]

2800=40b [simplified by combining -50 with 90]

70=b [divided 2800 by 40 to get the break even for the store]

Use the Pythagorean theorem to find the unknown side of the right triangle.

Hypotenuse length_____

Answers

Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39

Step-by-step explanation:

There are 10 students in a class: 7 boys and 3 girls.
If the teacher nicks a group of 4 at random, what is the probability that everyone in the group is a boy?

Answers

Answer:

Total number of students = 10

Probability that all 4 in the group are boys =

[tex] \frac{4}{10} \\ = 0.4[/tex]

Every six customer at flower shop receives a free rose in every ninth customer see is a free lily what customer will be the first to receive a free rose and a lily

Answers

Answer:

18th customer

Step-by-step explanation:

The computation is shown below

Here we have to write the multiples of 6 and multiples of 9 that are presented below:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

So based on the above multiples of 6 and 9, 18th customer would first to receive a free rose and a lily

Answer: 18th customer. Hope this helps!

what is the surface area of the triangular prism shown​

Answers

The surface area of the shape shown is 1008 square centimeters. I hope this helps!

which choice is equivalent to the expression below? (-2)^-3
A) 1/6
B) 8
C) -1/8
D) 6

Answers

Answer is -1/8

Step by step exploration

(-2)^-3=1/(-2)^3=1/(-8)=-1/8

Answer:

C

Step-by-step explanation:

I used a calculator I honestly couldn't figure out the math behind that

At a carnival in a small town, the entry fee was $8 per person, and the cost for each ride ticket was $2. The inequality below was used to determine if the town met its goal of earning more than $1,650 each day the carnival was open. 8p + 2r > 1,650 The following variables were used: p = the number of people who attended the carnival r = the number of ride tickets sold• On Friday, 150 people attended the carnival. A total of 275 ride tickets were sold. • On Saturday, 110 people attended the carnival. A total of 340 ride tickets were sold. • On Sunday, 130 people attended the carnival. A total of 305 ride tickets were sold.For each day the carnival was open, state whether or not the town met its goal. Show all the steps you took to find your answers using the provided inequality. Respond in the space provided.

Answers

Answer:

$1000

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☺️♨️♨️☺️

Mrs. Hales then tells Kyle to write an equation showing that the volume, V, of each of his prisms is equal to l × w × h

Answers

Kindly check the complete version of the question on the picture attached below :

Answer:

B.) 4 * 3 * 3

Step-by-step explanation:

Unit volume of cube = 48 unit³

Using the volume relation :

Volume = Length * width * height

V = l * w * h

To obtain the odd representation, we calculate the volume of the dimensions given in the option and select the option which does not yield a volume of 48 unit³

A.) 8 * 2 * 3 = 48 unit³

B.) 4 * 3 * 3 = 36 unit³

C.) 6 * 2 * 4 = 48 unit³

D.) 3 * 2 * 8 = 48 unit³

Hence, prism with dimension 4 * 3 * 3 cannot be one of Kyle's prism

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