Como se encuentra el volumen de un prisma cuya base es un hexagono regular de lado 3cm y area total de 18 raiz 3cm cubicos

Answers

Answer 1

Pregunta completa:

Calcula el volumen de un prisma cuya base es un hexágono regular con un lado de 3 cm y un área lateral de 18√3 cm ^ 2.

Respuesta:

81/2 cm²

Explicación paso a paso:

El hexágono tiene 6 lados

Longitud de cada lado, L = 3 cm

Por lo tanto, perímetro = 3 * 6 = 18 cm

Área lateral, A = perímetro * altura

A = 18√3; P = 18

18√3 = 18 * h

h = 18√3 / 18

h = √3

Área base = perímetro * apotema / 2

Apotema = raíz cuadrada (3² - (3/2) ²)

Apotema = raíz cuadrada (9 - 9/4)

Apotema = (36 - 9) / 4 = raíz cuadrada (27/4) = √27 / 2

Área base = 18 * √27 / 4 = 9√27 / 2 = 9√9 * 3/2 = 27 / 2√3

Volumen = área de la base * altura

Volumen = 27 / 2√3 * √3

Volumen = 81/2 cm²


Related Questions

PLS DO THIS ASAP!!!!! do the ones that are boxed and the ones with the Xs dont do!
This is due in 5 mins pls do!!! will give brainiest and 5 points

Answers

Answer:

10 19/24, 4 9/16, 3 11/15

Step-by-step explanation:

15. 15 4/24 - 4 9/24 = 10 19/24

13. 8 3/16 - 3 10/16 = 4 9/16

17. 6 5/15 - 2 9/15 = 3 11/15

Find the value of x if the measures of the interior angles of a pentagon are 5x®, 10X, 10X°, 10x°, and 10X°.
X=_________​

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Answer:

is 1 i think

Step-by-step explanation:

what is r if r-24=6 jhhjjhjhhjhj

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Answer:

r=30

Step-by-step explanation:

r-24=6

r=6+24

r=60

Help plz I am behind in math I was in the hospital!!!

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Answer: The answer is 25

Step-by-step explanation:

A triangle has an area of 72 square feet. The height is 12 feet. What is the length of the base (in feet)?

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Answer:

6ft

Step-by-step explanation:

we went over this in class

A basketball player makes 80​% of free throws. The random numbers below represent 20 trials for a simulation. Let the numbers 0 to 7 represent a made free throw and let 8 to 9 represent a missed free throw. Use this simulation to estimate the probability that the player makes both free throws.

Answers

Answer:

65%

Step-by-step explanation:

its not 75

hope this helps! :>

PLEASE PLEASE PLEASE PLEASE HELP MEEEE PLEASE I BEG

Answers

I think 5,8 if not I’m srry

Step-by-step explanation:

(4, 8)

they already give you your Y so if you find the middle between the bank and hospital and then find the number for the X theres your answer. That was confusing but im unsure how else to explain it ;-; sorry

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:


Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).


A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

A = x(x − 4) − (8)(x − 4) − 4(8)

A = x(x − 4) + (8)(x − 4) + 4(8)

A = x(x − 4) + 0.5(8)(x − 4) + 4(8)

Answers

Step-by-step explanation:

here .................

Answer:

A. A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Step-by-step explanation:

Total area:

A(t) = x(x - 4)

Area of the stage:

A(s) = 0.5(8)(x - 4)

Area of the closet:

A(c) = 4(8)

Area to be painted:

A = A(t) - A(s) - A(c)A = x(x - 4) - 0.5(8)(x - 4) - 4(8)

Correct choice is A

How does making a frequency table or line plot help you see which value occurs most often in a data set?

Answers

Answer:

A frequency table and a line plot show which value occurs most often. this is done by labeling every value. The person can clearly see the organized layedout numbers in a frequency table or line plot.

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

A sociologist randomly selects single adults for different groups of​ three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

Answers

I have attached the complete question.

Answer:

Mean; μ = 1.648

Standard deviation;σ = 0.8610

Step-by-step explanation:

From the image attached, we can see that the probabilities given under the p(x) column are;

0.091

0.334

0.408

0.166

Let's find out if these values give a probability distribution.

ΣP(x) = 0.091 + 0.334 + 0.408 + 0.166

ΣP(x) ≈ 1

Their sum is approximately 1 and they are all between 0 and 1. Thus, it is a probability distribution.

Mean is found by;

μ = ΣxP(x)

From the table attached, x = 0, 1, 2, 3

Thus;

μ = (0 × 0.091) + (1 × 0.334) + (2 × 0.408) + (3 × 0.166)

μ = 1.648

Standard deviation is given by;

σ = √[Σ(x - μ)²•P(x)]

σ = √[((0 - 1.648)² × 0.091) + ((1 - 1.648)² × 0.334) + (2 - 1.648)² × 0.408) + ((3 - 1.648)² × 0.166)]

σ = 0.8610

Does anyone know how to do this

Answers

Answer:

the reason is they are equal to each other because they are both right angle triangle

Share 60 in the ratio 6:4​

Answers

Answer:

36:24

Step-by-step explanation:

6+4=10

60/10=6

6*6:4*6

=36:24

The mathematical expression 2 ∈ V means:

Answers

It could be nonsense without any more context…

But more likely than not, V is understood to be some set of numbers, in which case the statement "2 ∈ V" means "2 belongs to the set V".

Need help! Have a good day

Answers

Answer:

Use the website www.bartley.com !!! I has helped me a lot and its actual teachers/tutors who answer your questions in about 30 minutes :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y= 1/2x +8

hope this helps

8 more than twice a number is 18.

Answers

Answer:

18 + (18 more than) 2x (twice a number) = (is) 8

18+2x=8

2x=-10 (subtract 18 from both sides)

x=-5 (divide both sides by 2)

not my work

(I BEG YOU HELP ME TUTORS! ITS A MULTIPLE CHOICE ILL GIVE U BRAINLY)

Answers

Answer:

ans= (2)

Step-by-step explanation:

y=x²-1 is the only quadratic function there

1 is a linear function

3 is a cubic function

4 is a a constant function

Find area 6ft 8ft 4ft 5ft 5ft 4ft

Answers

Answer:

We need more then just the numbers. May you please provide a screenshot?

ignore the ones that are chosen i didn't mean to press it, someone help

Whats:

1+1

I need help immediately, please.

I'm struggling and freaking out.

Answer as soon as possible.

Answers

Answer:

2

Step-by-step explanation:

hdjxjdbdjdnekzneisbd

Answer:

1+1=2

Step-by-step explanation:

lol, i hope this helped.

brainliest please? :)

PLEASE I WILL GIVE EXTRA POINTS AND BRAINLIEST I PROMIS!!!!!!! I AM DESPERATE PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

If you comment fractions I will do them!

Step-by-step explanation:

Across:

A = 46

E = can't see the fraction

H = 2111

I = 64

J = 29

L = can't see the fraction

P = 55005

R = can't see the fraction

S = 21

T = 49

U = 308

V =129

X = can't see the fraction

Y = 4008

Z = 15

BB = 375

EE = 65

FF = 16

GG = 64

Down:

B = 600

C = can't see the fraction

D = 316

G = can't see the fraction

H = can't see the fraction

K = 9520

L = 15010

N = 299

O = 59

Q = 518

T = 4116

U = 333

V = 1006

W = 189

AA = 55

CC = 71

DD = 56

Question 7: Find the value of x. The numbers below are in degrees.
140
S
50
20

Answers

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

[tex]a=20[/tex]              (Alternate interior angle)

[tex]d=b[/tex]              (Alternate interior angle)           ...(i)

The value of angle d is

[tex]d=50-a[/tex]

[tex]d=50-20[/tex]

[tex]d=30[/tex]

Using (i), we get

[tex]b=30[/tex]

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

[tex]c+140=180[/tex]

[tex]c=180-140[/tex]

[tex]c=40[/tex]

Now,

[tex]x=b+c[/tex]

[tex]x=30+40[/tex]

[tex]x=70[/tex]

Therefore, the value of x is 70.

The diameter of a circle is 12 cm. Find its circumference in terms of pi

Answers

Answer:

37.68

Step-by-step explanation:

to get radius divide diameter by 2.

formula for circumference is 2×r×pi.

since we already have the diameter we don't need to ÷ by 2 to get the radius because then we would have to multiply it back again.

pi=3.14.

12×3.14=37.68.

Can I please have Brainliest?

Find the volume of the rectangular prism.
45 cm
15 cm
25 cm

Answers

Answer:

16875cm³

Step-by-step explanation:

45x15x25= 16875cm³

plz mark me as brainliest.

Answer:

15 cm trust me its right because I've don't this question in school

I NEED HELP PLS!! it shouldnt be too hard bc im in 6th grade

Answers

Answer:

2x + 1

Step-by-step explanation:

That person added everything together that was shown which is incorrect. You shouldn't add the 12x + 3 as that should be the end result. You add 3x + 3x + 4x + 2 to get 10x + 2. You then subtract that by 12x +3 which is 2x + 1

Resuelve: 6 (3n + 6) - 6 = -3 (n + 4)

Answers

Answer:

n = -2

Step-by-step explanation:

Dame lo más inteligente

( give me brainllest)

Compare the function ƒ(x) = 3x − 1 2 to the function shown in the graph. Which statements are correct?

Answers

Answer: 3(x−4)

Step-by-step explanation: Hope this help :D

Answer:

On usatestprep the answer for f(x)=3x-(1/2) is...B,D, and E.

Step-by-step explanation:

PLSS HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT AND CAN SOMEONE PLS TELL ME WHAT TO DRAW LIKE SHADE? A PIC OF EVERYTHING SHADED AND DRAWN WOULD BE RLLY NICE TYSM HAVE A GOOD DAY! BUT PLS HELPP

Answers

Answer:

shading,

Step-by-step explanation:

do shading to the fraction supposed to be, eg: 1\4 here we have four parts divided and 1 is to be shaded as it gives 1 out of 4 okay? or 2\8 here in 8 divided parts only shade 2 as it's given. I hope it's right!!

Shading, I hope that’s the correct answer

Factor the following :

Answers

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

Answer:

(6x + 7y)(6x - 7y)

Step-by-step explanation:

36x² - 49y²

= (6x)² - (7y)²

= (6x + 7y)(6x - 7y)

In this question we used the identity-

a² - b² = (a + b)(a - b)

If the standard deviation of a data set were originally 8, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 6
B. 8
C. 14
D. 2

Answers

The correct answer would be C. or 14

Can someone please help me

Answers

Answer:

C/7 = 20

Step-by-step explanation:

The sports shop has 12 part-time employees and 68 full-time employees. What percentage of the employees at the sports shop work part-time?

Answers

Answer:

15% of the employees at the sports shop work part-time.

Step-by-step explanation:

In order to find the percentage of the employees at the sports shop that work part-time, first you need to find the total amount of employees:

12+68=80

Now, you have to divide the amount of employees that work part-time by the total amount of employees and multiply that for 100:

%of employees working part-time=(12/80)*100=0.15*100=15%

According to this, the answer is that 15% of the employees at the sports shop work part-time.

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