Find the volume of the regular hexagonal prism with side lengths of 4 ft, height of 3ft and apothem of approximately 3.5 ft

Answers

Answer 1

Answer:

A(p)  = 84 ft³

Step-by-step explanation:

Volume of regular prism is equal to V(p):

V(p)  = Area of the face * h

we know h = 3 ft

A regular hexagonal prism has 6 equal sides forming its face.

Finding the area (A₂) of a triangle formed  by center of the prism, straight lines between the center and two adjacents vertex and side between these two vertex, and then multiply that area by 6 (number of equal triangles inside hexagonal prism) we get the area of the face, but  we need further consideration, the triangle described above, has doble area of (A₁), the triangle formed by apothem, half side, and straight line between center of the face and the vertex, therefore.

Area of small triangle = base * height

A₁  = (1/2) * 4 * 3,5

A₁  =  2*3,5

A₁  = 7 ft²

A₂  = 2* 7    

A₂  = 14 ft²

Finally volume  of the hexagonal prism is:

V(p) = 6 * 14

A(p)  = 84 ft³


Related Questions

Which graph represents the equation y = --3x – 1?

Answers

Answer:

Step-by-step explanation:

Final answer:

The equation y = -3x - 1 represents a straight line with a slope of -3 and y-intercept of -1. The graph will be a line falling to the right and crossing the y-axis at -1.

Explanation:

The question asks which graph represents the equation y = -3x - 1. This is a linear equation, where the coefficient of 'x', -3 here, gives us the slope of the line, and the constant, -1 here, gives us the y-intercept. A slope of -3 means for each step of 1 increase in x, the value of y decreases by 3. The y-intercept is the point where the line intersects with the y-axis, in this case at y = -1.

A graph representing this equation will be a straight line with a slope of -3 (indicating the line falls as we move along the positive x-axis) and will cut the y-axis at y = -1.

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Monica needs soup. The store has a special 5 cans for $10.00. If she buys just one can of soup, the cost is $2.20. Which is the better deal?
explanation pls!

Answers

The best one is the 5 for 10 because if she gets one can of soup and you multiply it by 5 you get 11. That means that the 5 for 10 is cheaper. Hope this helped!
The 5 cans for 10 dollars is the best deal,because if you multiply $2.20 by 5 you will get $11.00 which is one more dollar than what you would paid for 5 cans for $10.00


A new pair of shoes that was $80 is now on sale for $60. Which of the following is true about the percent of
change?
The shoes are now 75% less expensive.
The shoes are now 25% less expensive.
The shoes are now 20% less expensive.
The shoes are now 10% less expensive.

help me plss​

Answers

The answer is B. 25% less expensive

$60.00 is 75% out of $80.00, when you subtract 75% from 100% you get 25%.

hope this helps !

Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of 11.1 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

980.6

Step-by-step explanation:

V=πr2h

3=π·11.12·7.6

3≈980.5916

Answer:

980.6 in³

Step-by-step explanation:

V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]

H=7.6          R=11.1

V=[tex]\frac{1}{3} \pi r^{2} h[/tex]

V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]

V=980.59159815

V=980.6 in³

i need help will give brainliest!!!

Answers

Answer:

B for the first one

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

if you ran a 26 mile marathon at an average speed of 10 mi/hr, how long would it take you to run the marathon?

Answers

Answer:
2hours and 36 minutes

Working out:
2 hours and 6 minutes

Please help!!! Will give Brainly to the best answer!!!

Answers

The correct answer is c?

True or False: All statements of equality below are correct. Please help!!

Answers

Answer:

True?

Step-by-step explanation:

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutesWhich system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt..

Answers

Answer:

Option B

Step-by-step explanation:

When moving with the current, the speeds of the boat and current will add up. The first situation can then be represented by:

9 = 0.5(x + y)

While opposing the current, the speeds will be subtracted. Forming:

9 = 1.5(x - y)

The second option contains this equation system, so it is correct.

Answer:

it is B

Step-by-step explanation:

i got it right on test

how much will it cost to get 4 tires if the 4th one is free

Answers

you would have to pay for 3 tires

AB=(8/-4). BC=(6/4)
a) express AC as a column vector


Answer a) AC = (?/?)

Answers

Ac=32 because AC is a column Vector

Evelyn planes to go to the fair with three of her friends. she needs to earn at least $60 yo attend the fair . if Evelyn earns $7.50 per hour babystting , how many hours Will she need to work in order to have enough Money to go to the fair with her friends?​

Answers

Answer: 8 hours

Step-by-step explanation:

60$/7.5$ = 8

Answer:

8 hours

Step-by-step explanation:

60/7.5 = 8

Order each set of numbers from least to greatest (10, -5, 3 16, -1, 0, 1)

Answers

-5,-1,0,1,3,10 I think

Answer:

( -5,-1, 0, 1, 3, 10,16)

Step-by-step explanation:

Order of number from least to greatest is thus

( -5,-1, 0, 1, 3, 10,16).

Can you please help me solve
1/2(4a+8b+2)

Answers

Answer:

hey try photomath

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(4a+2b+2)=\frac{1}{2}*2*(2a+b+1)\\\\=2a+b+1[/tex]

Super easy math I don’t feel like doing

Answers

Answer:

138 m

Step-by-step explanation:

13 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!

Answers

Answer: He is correct , equal to, equal to

Step-by-step explanation:

I think

Answer =The answer is correct

Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?

Answers

Answer:

500 cm2

Step-by-step explanation:

The dimensions of the prism are 7 cm, 9 cm and 20 cm.

So the three areas we want to find are three rectangles, with the sides:

7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm

The area of each rectangle is:

rectangle_1 = 7 * 20 = 140 cm2

rectangle_2 = 9 * 20 = 180 cm2

rectangle_3 = 9 * 20 = 180 cm2

Summing all these three areas, we have:

Total area = 140 + 180 + 180 = 500 cm2

Answer:

500 Square Centimeters


Mrs. Henson's rectangular afghan is 2 feet
longer than it is wide. If the afghan has an
area of 24 square feet, what is its width?
(Remember, the area of a rectangle is its
length times its width.)

Answers

Answer:

The width is 4

Step-by-step explanation:

If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.

Mrs. Henson's rectangular afghan width will be 4 feet

Area of a rectangle

It is the product of its length and width

How to solve this problem?

Let, x be width of rectangular afghanGiven,

Length of afghan is 2 feet more than its width

∴ l = x+2

Area of rectangular afghan = 24 square feet

Now,

Area of rectangular afghan = lw

[tex]24=x(x+2)\\24=x^{2} +2x\\x^{2} +2x-24=0\\x^{2} -4x+6x-24=0\\(x-4)(x+6)=0\\x=4 or -6[/tex]

Since width can not be in negative

[tex]x=4feet[/tex]

So the width of rectangular afghan will be 4 feet

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PLEASE HELP?!

Polygon LMNOP ~ Polygon QRSTU What is TU?

Answers

Answer:

The answer is B.

Step-by-step explanation:

9 : 12 = 3 : 4

12 : 16 = 3 : 4

Known :

LMNOP ~ QRSTU

OP = 12

LM = 9

QR = 12

Asked :

TU = ...?

Answer :

[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]

So, the side of TU is 16 (B)

Hope it helpful and useful :)

Divide. Write the quotient in lowest terms.
11-13

Answers

Answer:

0.85

Step-by-step explanation:

Answer quick please.

Answers

5/2 = 2.5

4/16 = 0.25

2.5/0.25 = 10

Your answer would be 10

hope it helps!

Kylie went on a road trip with her family. They traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours. What was the total distance in miles that Kylie’s family traveled during this time?

Answers

Answer: 320 miles

Step-by-step explanation:

First, we need to make an equation. However, we can’t fight to label the variables:

t = total number of miles

h = number of hours

Now let’s set up our equation:

t = 50h + 65h

The good thing is that we know how many hours each speed was held for, so we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is 320.

The total distance in miles that Kylie’s family traveled during this time is 320 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Kylie traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours.

First, we need to make an equation thus we have;

t = total number of miles

h = number of hours

Now let’s set up our equation as;

t = 50h + 65h

Now we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is; 320 miles.

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One side of a rectangle is three times the other. Find the longer side if the perimeter is
29

Answers

Answer:

Answer: 10.875

Step-by-step explanation:

Let the short side be x.

Then the long side is 3x.

There are two opposite sides of each length, so the perimeter is

3x + 3x + x + x = 8x

The perimeter is 29, so we get the equation

8x = 29

Solve for x by dividing both sides by 8.

x = 29/8

x = 3.625

The longer side is 3x.

3x = 3(3.625) = 10.875

Answer: 10.875

Answer:

Answer:10.875

Step-by-step explanation:

Let the short side be x.

Then the long side is 3x.

There are two opposite sides of each length, so the perimeter is

3x + 3x + x + x = 8x

The perimeter is 29, so we get the equation

8x = 29

Solve for x by dividing both sides by 8.

x = 29/8

x = 3.625

The longer side is 3x.

3x = 3(3.625) = 10.875

Answer: 10.875

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4a²-8a - 5 need help?

Answers

Answer:

(2a+1)(2a-5)

Step-by-step explanation:

Luis drank 12 gallons of juice from the carton how many quarts of juice did Luis drink

Answers

He drank 48 quarts

the formula to get that answer is multiply the volume value by 4.
Final answer:

Luis drank 48 quarts of juice. This is calculated by multiplying the known quantity of 12 gallons by the conversion factor of 4 quarts per gallon.

Explanation:

This question involves a unit conversion from gallons to quarts. In the US customary measurement system, we know that 1 gallon is equal to 4 quarts. Since Luis drank 12 gallons of juice, to find out how many quarts Luis drank we would perform the following multiplication:

12 gallons x 4 quarts/gallon = 48 quarts

Therefore, Luis drank 48 quarts of juice.

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Can you subtract closed polynomials

Answers

Answer:

Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.

Step-by-step explanation:

Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. ... Remember that the exponents in polynomials are whole numbers. When adding, distribute the positive (or addition) sign, which does not change any of the signs

PLEASE HELP (WILL NAME BRAINLYEST)

The area of Australia/Oceania is approximately 7.69 × 106 square kilometers. Its population is approximately 3.11 × 107 people. What is the approximate population density (people per square kilometer) of Australia/Oceania? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.

Answers

Answer: 3.11*10^7/7.69*10^63110/769   Answer:4.04
will I still get brainliest?

Final answer:

The population density of Australia/Oceania is calculated by dividing the total population (3.11 × 107 people) by the total area (7.69 × 106 square kilometers), which results in a density of approximately 4.04 people per square kilometer.

Explanation:

To calculate the population density of Australia/Oceania, we need to divide the total population by the total area. The area of Australia/Oceania is approximately 7.69 × 106 square kilometers, and the population is approximately 3.11 × 107 people.

The calculation for population density is:

Population Density = Total Population / Total Area

So:

Population Density = 3.11 × 107 people / 7.69 × 106 square kilometers

This results in a population density of

Population Density = 4.04363 people per square kilometer (unrounded)

Rounded to the nearest hundredth, the population density is approximately 4.04 people per square kilometer.

What is the Range of the following number sequence:
1, 2, 3, 4, 5, 6, 7, 8, 9​

Answers

Look at the attached picture

Hope it will help u...

Answer:

8

Step-by-step explanation:

1-9=8

1) Who in your class has the most pets?
2)How many times did you eat a peanut butter and jelly sandwich last week?
3) How many siblings do you have?
4) How many siblings does the average 6th-grade student have?

Which are the statistical questions? The correct answer gets brainliest

Answers

Answer:

How many siblings does the average 6th-grade student have?

Step-by-step explanation:

In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.

I found $3200 in an envelope near my
house. I turned it into the police because it
seemed very suspicious! They said that if
no one claimed it in three years, then I
would get all of the money plus interest.
They put the money into an account that
pays 7.5% interest compounded monthly.
If no one claims the money, how much
would I get at the end of the three years?
A.6379.80
B.12,396
C.4328.53
D.4004.63

Answers

Answer:

The answer is C

Step-by-step explanation:

I did the math

C . 4328.53




Do the math !!

4000+300+20+8
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