find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8

8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units

Answers

Answer 1

Answer:

[tex]V=8,448u^3[/tex]

Step-by-step explanation:

The volume of a prism is given by:

[tex]V=A_{b}*h[/tex]

where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex]  is the height of thr prism.

We know that the height is:

[tex]h=22[/tex]u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

[tex]A_{b}=\frac{n*l*a}{2}[/tex]

where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]

[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,

and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]

we substitute all of this to find the area of the base:

[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]

and finally we use the formula for the volume:

[tex]V=A_{b}*h[/tex]

we get the following:

[tex]V=384u^2*22u\\V=8,448u^3[/tex]

which is the third option


Related Questions

0.53 x 0.19 what is the answer that question​

Answers

Answer:

PLEASE MARK AS BRAINLIEST AND GIVE THANKS

0.1007

Step-by-step explanation:

0.53 x 0.19 = 0.1007

The weight of large pavement stones in pounds are listed: 22, 26, 29, 23, 26, 21, 28, 24, 25, 26. What is the mean absolute deviation?

Answers

step 1: add all of the numbers which= 250
step 2: divide by how many numbers there are= 250 divided by 10
step 3: answer=25

Are you supposed to divide in this question?

Answers

Answer:

x=3 and x=6

Step-by-step explanation:

The answer is attached.

Solve for k.
5(k+4)<–5

Answers

Answer:

k < -5

Step-by-step explanation:

5(k+4)<–5

Divide each side by 5

5/5(k+4)<–5/5

k+4 < -1

Subtract 4 from each side

k+4-4 < -1-4

k < -5

What is x???????????

Answers

Answer:147

180-33= 147

The inner angles are supplementary, meaning equaling 180

Step-by-step explanation:

i don’t fish osjeoener

how would you solve 3x + y = -14
-2x + y = 9
while showing all of the work

Answers

Answer:

X=

[tex] \frac{ - 23}{5} [/tex]

Y=

[tex] \frac{ - 1}{5} [/tex]

Step-by-step explanation:

3x+y=-14

2x-y=-9

5x=-23

y=

Answer:

[tex]x= \frac{-23}{5}, y=\frac{-1}{5}[/tex]

Step-by-step explanation:

3x + y = -14

-2x + y = 9

We'll try to find x

(-2x + y = 9) multiplied by -1 => -1(-2x+y=9) = 2x-y = -9

3x + y = -14

+2x -y = -9

+__________

3x + 2x +y -y = -14 - 9

5x = -23

x = -23/5

3x + y = -14  =>And now we can find y. Just plug in -23/5 for x

[tex]3\frac{-23}{5} + y = -14[/tex]

[tex]\frac{-69}{5} + \frac{5y}{5} = \frac{-70}{5}[/tex]

[tex]\frac{5y}{5} =\frac{-1}{5}[/tex]

5y = -1

y = -1/5

Hope this helps ^-^

I want to know how to divide fractions can any one help P.S this is my first time on brainly

Answers

Answer:

Simple rules

KCF

keep your denominator

change your numerator

flip one of your fractions

Step-by-step explanation:

:)

Answer:

Problem: 1/4 divided by 1/2

Step 1 : Put it in multiplication format

1/4 * 1/2

Step 2 : Flip the denominator with the numerator of only the second fraction

1/4 * 2/1

Step 3 : Answer

2/4 or 1/2

Step-by-step explanation:

I know

in the NBA, any shot made from 22 feet or more from the basket is worth 3 points. how many yards from the basket is that? plz help​

Answers

Answer:

7.333333

Step-by-step explanation:

There are three feet in a yard, therefore 22/3

Brainliest would be super appreciated!

What is 9/2 as a whole number? :) plz help quick!!
Will give brainliest!

Answers

Answer:

4.5

Step-by-step explanation:

If the lines of a system of equations never intersect then, then the system has no____

Answers

Answer:

solution

Step-by-step explanation:

*PLEASE HELP ASAP*
Vicente has a prism-like water tank whose base area is 1.21.21, point, 2 square meters. He bought 666 goldfish at the store, and the store owner told him to make sure their density in the tank isn't more than 444 fish per cubic meter. Vicente needs to figure out how high to fill the water in the tank.
What is the lowest possible height so the fish aren't too crowded?

Answers

Answer:

VGEV

Step-by-step explanation:

Anastasia makes a good salary but wants to be sure she has good credit so she can buy a condominium when she has saved
enough money for a down payment on a mortgage. What is the best thing she can do to improve her creditworthiness?
She should take out more debt to improve her credit score.
She should pay down her student loan and credit card debt.
She should apply for more credit cards to improve her credit history.
She should get a second job to make more money.

Answers

Answer:

She should pay down her student loan and credit card debt.

Step-by-step explanation:

Because the others would result in more debt or overwork and she has a good salary already

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

Option B is the correct answer.

We have,

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

This will lower her credit utilization ratio, which is a significant factor in determining her credit score.

Having a high credit utilization ratio can indicate to lenders that she may be at risk of defaulting on her debts, which could make it more difficult for her to obtain a mortgage or other loans in the future.

Paying down her debts can help improve her credit score and make her a more attractive borrower to potential lenders.

Thus,

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

Learn more about creditworthiness here:

https://brainly.com/question/2254218

#SPJ5

Which is a quadratic function?

Answers

Answer:

C

Step-by-step explanation:

A quadratic function has an x².

A and D are not the answers because there is no x².

B is not the answer because 0x² is equal to 0, meaning that there is no x².

C is the answer.

-5x^2+51=6 or -5x^2+51=6. SOLVE ASAP

Answers

Im not sure but
The answer may be x=3,-3

Answer:

it's 9

Step-by-step explanation:

x = 2y - 7
4x + y = 71

Answers

Answer:

(15, 11)

Step-by-step explanation:

(I'm assuming you are solving for x and y.)

Plug in the x equation:

4(2y - 7) + y = 71

8y - 28 + y = 71

9y - 28 = 71

9y = 99

y = 11

Then plug that answer into the other equation:

x = 2(11) - 7

x = 22 - 7

x = 15

You can check by doing the following to make sure you are right:

15 = 2(11) - 7

15 = 22 - 7

15 = 15

4(15) + 11 = 71

60 + 11 = 71

71 = 71

x=15, y=11 those are the answerS

Calculate the area of the polygons in the picture. All measurements are in cm.​

Answers

Why is there a b) in the middle of the polygon?  Question creators, proofread your figures.

a) Two triangles and a kite

Top triangle (1/2)(5.53)(1.5)

Bottom triangle (1/2)(6)(2)

The kite is like two triangles with shared base 2+3=5 and combined height 7,

(1/2)(5)(7)

Adding it up,

area = (1/2)(5.53)(1.5) +  (1/2)(6)(2) + (1/2)(5)(7) = 27.6475

Answer: 27.6475  sq cm

b) Three triangles, including one right triangle

Area = (1/2) (6.7)(3) + (1/2)(6.2)(2.5) + 1/2(6.2)(2) = 24.

Answer: 24 sq cm

question is below....

Answers

Answer:

Step-by-step explanation:

For window, area 3×2

=6

For wall, area=20×16

=320

Area of wall withot window=320-6

=316

Peter bike bill is automatically deducting $78 from his bank

Answers

Answer:

how much money is on peters bank account all together?

Step-by-step explanation:

Jorge says the first step to solving the equation below is to combine like terms on each side of the equal sign. David says you should distribute first then isolate x. Which perspective do you agree with and why? Determine the solution to the equation.
x + 2x + 3 + 3 = 3(x + 2)

Answers

Answer:

1) David because of order of operations.

2) All Real Numbers

Step-by-step explanation:

x + 2x + 3 + 3 = 3 (x + 2)

x + 2x + 3 + 3 = 3x + 6

3x - 3x = 6 - 6

0 = 0

Whats the 100 digits of pie?\
im only asking because brainly keeps telling me to ask a question

Answers

Answer:

3.14159265358979323846264338327950288419716939937510

58209749445923078164062862089986280348253421170679

Step-by-step explanation:

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

i don't know how to solve it

Is f(n)=10+5x^2 exponential, linear, or neither?
Is f(n)=10(5)^n exponential, linear, or neither?

Answers

Answer:

1. Neither (quadratic)

2. Exponential

Step-by-step explanation:

[tex]2^x[/tex] = y  <- this is an example of an exponential equation.

y = 2x + 1 <- this is a linear equation

answer for -2x-41=5x-6

Answers

Answer:

x=-5

Step-by-step explanation:

-2x-41=5x-6

-35=7x

-5=x

Hello there!

-2x - 41 = 5x - 6

Move the 41 over by adding 41 to both sides.

-2x = 5x + 35

Move the 5x by subtracting it from both sides.

-7x = 35

Divide by -7 to get x.

-7/-7 = 35/-7

x = -5  

Therefore, x would equal -5.

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer:

x = 12.81

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean Theorem to solve for x. We have 10² + 8² = x² → 100 + 64 → x² = 164 → x = 12.81. Hope this helps!

Step-by-step explanation:

using Pythagoras relationship

[tex] {x}^{2} = {10}^{2} + {8}^{2} \\ {x}^{2} = 100 + 64 \\ {x}^{2} = 164 \\ x = \sqrt{164} \\ x = 12.806 \\ x = 12.8[/tex]

around a square with diagonal d = 4.6 cm a circle is described. Calculate the perimeter of the circle​

Answers

Answer:

14.45cm2

Step-by-step explanation:

The diagonal is the diameter of the circle.

4.6cm

The perimeter of the circle is

Pi x4.6= 3.142 * 4.6= 14.45cm2

Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?

Answers

Answer:

D.Place the compass on a point on the original line.

Complete Question:

A.Create only one arc that intersects the original line.

B.Create two arcs that intersect the original line.

C.Place the compass on a point off the original line.

D.Place the compass on a point on the original line.

Step-by-step explanation:

* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line

# Contracting parallel lines

- Given: Line AB and point P not on AB

1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines

2. Place the pin of the compass at point C and draw an arc intersects AB at D and CP at E

3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q

4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U

5. Join P and U by a line this line is parallel to AB

# Constructing a perpendicular line through a point on the line

- Given line AB and point P lies on it

1. Place your compass pin at P and draw an arc of any size below AB that crosses the line twice at points C and D

2. Stretch the compass to a larger distance

3. Place the compass pin on point C and draw a small arc above the line

4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E

5. Using a straightedge, join P and E where PE is perpendicular to AB

* Lets find the same steps in the constructions

∵ In first construction we put the pin of the compass at point C which  lies in the original line AB

∵ In second construction we put the pin of the compass at point P which lies in the original line AB

∴ The common step is:  "Place the compass on a point on the original line"

Answer:

just know the answer is not  Create only one arc that intersects the original line.

Step-by-step explanation:

took test

I’m testing out of geometry anyone know good websites/ channels to use?

Answers

Answer:

IXL or Khan Acadamey are really good websites that teach you a lot.  IXL has a thing with thousands of lessons on geometry.

Step-by-step explanation:

the slope of the line shown between the points (-8, 4) and (-4, 0) is equal to its slope between the points (-2, -2) and (5, -9).

Answers

Answer:

 

y =  m x  +  b

y =  −  x  − 4

Step-by-step explanation:

Answer:

My Question was  The slope of the line shown between the points (-7, -3) and (-4, 0) is equal to its slope between the points (0, 4) and (6, 10).

Which of the following best describes triangle TUV and triangle XYZ?

answer: Triangle TUV is similar to triangle XYZ.

Step-by-step explanation:

Point V is at (-7, -3), and point T is at (-4, 0). So, the slope of the line between (-7, -3) and (-4, 0) is equal to the ratio of UT to VU.

Point Z is at (0, 4), and point X is at (6, 10). So, the slope of the line between (0, 4) and (6, 10) is equal to the ratio of YX to ZY.

Since the slope between (-7, -3) and (-4, 0) is equal to the slope between (0, 4) and (6, 10), the ratio of UT to VU is equal to the ratio of YX to ZY.

Two right triangles are similar if the ratios of two sets of their corresponding sides are congruent. Therefore, triangle TUV is similar to triangle XYZ.

Jane and Kamalesh buy m and n Hari Raya greeting cards respectively at a price of
RMp for each card. These cards will be given to their Muslim friends.
(a) Write an expression for the difference in the amount of money that they had paid.
(b) If m = 8, n = 6 and p = 1.5, calculate the difference in the amount of money they
had paid.​

Answers

Idk sorryyy it looks familiar tho

Find the ratio a:b, if it is given that a/2 = b/5

Answers

Answer:

2:5

Step-by-step explanation:

a/2=b/5

a=b/5 × 2

a/b=2/5

a:b=2:5

The perimeter of a rectangular field is 342 m. If the width of the field is 76 m, what is it’s length?

Answers

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

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