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

OK I'm really confused.

Answers

Answer:

i am pretty sure the answer is UT.

Step-by-step explanation:

this is because all the letters have linear connections to the other letter, all except UT do.

i hope this helps, tell me if this is wrong.

Can someone please solve this x + 7 = 12

Answers

Answer:

x=5

Step-by-step explanation:

change to x=12-7

subtract

x=5

Subtract 7 on both sides:
x+7=12
-7 -7
Subtract 12-7:
x=5

The quotient of 8 times a number and the cube root of the number

Answers

Answer:

you would be dividing so it will be n over 8

Step-by-step explanation:

n/8...

hope this helped?

Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.

Answers

Answer:

not a regular polygon

Step-by-step explanation:

A regular polygon is an n-sided polygon in which the sides are all the same length and are symmetrically placed about a common center

Please help me with this quickly ! :3

Answers

Answer:

I think this is correct?? can you reuse options at all?

Step-by-step explanation:

odd, >2 = 1/3

even and odd = 1/4

<3, even = 1/6

odd, prime = 1/4

1 and 6 = 1/36

5, <2 = 1/36

If 300 students were surveyed in Mrs. Morton's class, how many chose badminton as their elective?

Answers

Answer:

150

Step-by-step explanation:

300/2 = 150

50%, or half, of 300 is 150

(15 points!) What is the m

Answers

EG is parallel to FH and AD is the transversal.

We know that the interior angles on the same side of the transversal are supplementary.

Angle EBC and Angle FCB are interior angles on the same side of the transversal.

So, Angle EBC + Angle FCB = 180°

=> Angle EBC + 76° = 180°

=> Angle EBC = 180° - 76°

=> Angle EBC = 104°.

Answer 104°

Marielle computed her table income last
year as $47 678 Over the year, she paid
$7 201 in federal withholding. Use the tax
table to find the amount of money
Marielle wil owe in additional taxes
If line 43 (taxable And you are
income) is single
At But less
least than
Your taxis
47 800 47,650 8,031
47 650 47,700 8,044
47,700 47,750 8,056
47.750 47 800
8,069

Answers

Answer:

843

Step-by-step explanation:

According to the tax table, she owes 8,044. She paid 7201.

additional amount owed is 8044-7201=843

I will give brainliest to first correct answer!!!!

Answers

Answer:

Step-by-step explanation:

5^-3 --> 1/125

-5^-3 --> -1/125

(-5^-3)^-1 --> -125

(-5^-3)^0 --> 1

The areas of two similar squares are 16m2 and 49m2 what is the scale factor of their side lengths

Answers

Given:

The areas of two similar squares are 16m² and 49m².

To find:

The scale factor of their side lengths.

Solution:

We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.

[tex]\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}[/tex]

[tex]\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]

[tex]\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2[/tex]

Taking square root on both sides, we get

[tex]\dfrac{4}{7}=\dfrac{s_1}{s_2}[/tex]

[tex]\dfrac{s_1}{s_2}=\dfrac{4}{7}[/tex]

Now, the scale factor is the ratio of side length of second square to the side length of first square.

[tex]k=\dfrac{s_2}{s_1}[/tex]

[tex]k=\dfrac{7}{4}[/tex]

Therefore, the scale factor of their side lengths is [tex]k=\dfrac{7}{4}[/tex].

Answer: 4/7 is the right answer on Acellus

Step-by-step explanation:

If 1llm, find the value of x

Answers

Answer:

D

Step-by-step explanation:

HAHAHA

Answer:

E) 22

Step-by-step explanation:

[tex] l || m\: \&\:line\: j\: is \: their \: transversal [/tex]..... (given)

[tex]\therefore(5x - 16)\degree = (2x)\degree + 50\degree [/tex]

(Corresponding angles)

[tex]\therefore(5x - 16)\degree = (2x+50)\degree [/tex]

[tex]\therefore 5x - 16 = 2x+50 [/tex]

[tex]\therefore 5x - 2x = 16+50 [/tex]

[tex]\therefore 3x = 66 [/tex]

[tex]\therefore x =\frac {66}{3} [/tex]

[tex]\therefore x =22 [/tex]

Help please! Thank you if you do.

Answers

Answer:

divisible is the answer.

Approximate the value of V61 to the nearest hundredth.

No links please!

Answers

The answer above is scam. They just tyr to get potns. The correct andwr dos 3736.

I'll be posting more question like these so keep a look out

Answers

Answer:

for question 1 the answer is 9 10/11

Step-by-step explanation:

cube root of 8p^6÷q^3​

Answers

Answer:

2p^2/q

Step-by-step explanation:

[tex]\sqrt[3]{\frac{8p^6}{q^3} } = \sqrt[3]{\frac{(2p^2)^3}{q^3} }[/tex]

Sarah started with 40 pieces of gum and gave away x pieces . Gerardo started with 24 pieces of gum and gave away twice as many pieces Sarah did . how many pieces of gum did Sarah give away if they had same number of pieces of gum left

Answers

1526 you welcome pieces

convert 750ml to litres​

Answers

Answer:

0.75 litres

Step-by-step explanation:

1 ml= 0.001 litres

Answer:

0.75 L

Step-by-step explanation:

1 ml = 0.001

0.001*750 = 0.75 L

Please someone help me with this no links

Answers

Answer:

w = -12

Step-by-step explanation:

You basically have 90% of the question done. You just needed to divide -60 by 5 and then get -12.

Good Luck!!!!!

Answer:   w = -12

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

Explanation:

You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.

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

To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.

-25 = 35 + 5w

-25 = 35 + 5(-12)

-25 = 35 - 60

-25 = -25

We end up with the same thing on both sides, so the answer is confirmed.

10 m =_____ mm hurry pls .​

Answers

Answer:

10,000 mm

Hope that helps!

Step-by-step explanation:

Answer:

10000 mm

Step-by-step explanation:

1m = 1000mm

10 x 1000 = 10000mm

You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7 feet away from the footbridge. What is the angle of elevation from the duck to you? Round your answer to the nearest tenth. PLEASE HELPPPPPP

Answers

Answer:

Angle of elevation from the duck is [tex]59.7^{o}[/tex]

Step-by-step explanation:

This description can be represented by the three sides of a triangle and the given angle. Let the angle required be represented by θ. Thus applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

So that,

Tan θ = [tex]\frac{12}{7}[/tex]

          = 1.7143

θ = [tex]Tan^{-1}[/tex] 1.7143

  = 59.7438

θ = [tex]59.7^{o}[/tex]

The angle of elevation from the duck is determined as [tex]59.7^{o}[/tex].

Nadia needs 2/5 cup of orange juice for a punch recipe. She will double the recipe to make punch for a party. Which statement is true?

Answers

Answer:

Step-by-step explanation:

There's not a lot to go on with the details provided in the question, but based on all you said, if there isn't more to the question, then the true statement is the fact that Nadia needs 2/5 cup of orange juice for punch recipe.

Twice that amount is 4/5, and logically, that can't suffice in a party, except it's a party of 3, maybe 5 people. I'm assuming the people in the party would be much more than that. Makes the fraction impossible

What is the median of the data?

11,16,12,7,23,9,5,5

Answers

Answer:

5,5,7,*9,11,*12,16,23

Step-by-step explanation:

Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.

9+11=20 divided by 2=10

from least to greatest

Answers

Answer:

Step-by-step explanation:

.3, 1/3, 2/5, 1/2, .6

Answer:

0.3, 1/3, 2/5, 1/2, 0.6

Step-by-step explanation:

Divide 1 by 3 and you get 0.333. Divide 1 by 2 and you get 0.5. Then divide 2 by 5 and you get 0.4. From there it's easier to compare. You could also make the decimals into fractions, but comparing those would take more steps by trying to find similar denominators.

Write an equation that represents the distance d and Miles traveled by the monarch butterfly and t days

Answers

Complete question :

When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d)

Answer:

d = 80t

Step-by-step explanation:

Given :

Average speed = 80 miles per hour

Distance traveled (in miles) = d

Number of days = t

Equation which shows the Relationship between Number of days and distance traveled :

Recall :

Speed = distance / time

Speed = 80 ; distance = d ; time = t

80 = d/t

80 * t = d

d = 80t

What is the sum of 39 + 5 + 768 + 3668?

Answers

Answer:

4480

Step-by-step explanation:

Answer:

4,480

Step-by-step explanation:

39+5=44

44+768=812

812+3668=4,480

Hope this helps :)

There are 18 children in Haley's preschool class. During free time yesterday, 3 of them chose to play with blocks. What is the probability that a randomly selected child chose to play with blocks yesterday?

Answers

Answer:

3/18

Step-by-step explanation:

Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.

Answer:

1/4

Step-by-step explanation:

its literally 1/4

Helppppppppppppppp and imma make you BRAINLIESTTTTTTTTTTTTTT >:3 20 POINTSSSS

Answers

Answer:

hey sorry someone went on the question we were talking on and reported it they also reported where i said I was taking a quiz and the question so i had to put in the comments that it was after that quiz and during another quiz also they can't see the timeline so it was between quizzes that i posted it

Step-by-step explanation:

Are you smart? help me in this question please?

Answers

Answer:

Angle 1 = 38 and angle 4 = 142 degrees.

Answer:

Angle 1 is 38 degrees

Angle 4 is 142 degrees

Step-by-step explanation:

PLS HELP ASAP!!!! WILL GIVE BRAINLIEST

Answers

Answer:

15.7 BRAINIEST PLS

Step-by-step explanation:

Using the hypotenuse formula to calcultate the unknown sides

we get

8.6

7.1

5

add them up and we have 15.7

Answer:

15.7

Step-by-step explanation:

39 BRAINLY POINTS PLEASE HELP.

SYSTEM OF INEQUALITIES.

Answers

X-number of weeks
50-2X ≥ 20
-2X ≥ 20-50 multiply both sides by -1
2X ≥ 30
X ≥ 30/2
X ≥15
Katie can withdraw money for at least 15 weeks.
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