A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answers

Answer 1

Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer 2

Answer:

41.57

Step-by-step explanation:

took the test


Related Questions

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

A doll's house is
1/8
the size of a real house.
The length of the doll's house is 1.5m.
How long is the real house?

Answers

Answer:

12m,

Step-by-step explanation:

1.5 times 8 =12

5x and x+5 is this equivalent if so explain even if it isn’t still explain lol

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

60 points!!! pls help

Answers

Answer:

im answering so the other guy can get brainliest...

hv a great day!!! :)

Step-by-step explanation:

Solve the equation 7= -108 – 3.​

Answers

move 7 to the other side making it negative
-108-3-7 = -118

Answer:

s=-1

Step-by-step explanation:

In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛

Answers

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

Amy’s dog weighs 14 pounds.

What is the dog’s weight in ounces?


30


64


210


224

Answers

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

how to graph 2x + 6y = -8

Answers

this is how this should help.

Help plzzzzzzzzzzzzz

Answers

90 x 0.9 (90%) = 81 students

This means 81 students are enrolled in health.

Hope this helps :)

Answer:

OK

Step-by-step explanation:

help help help help help help help help

Answers

I believe the answer is (3,4)

solve the system by substitution y+X=3 2y+x=-5

Answers

Answer:

Step-by-step explanation:

We have the system:

y+x=3

2y+x=-5

the question asks us to solve by substitution..

Let's subtract y from both sides of the first equation

y+x=3

-y    -y

x=3-y

now, let's substitute 3-y as x into the second equation

2y+3-y=-5

combine like terms

y+3=-5

subtract 3 from both sides

y=-8

so the value of y is -8

now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x

x=3-y

x=3--8

x=11

the value of x is 11

as a point, your answer is (11,-8)

Hope this helps! :D

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?

Answers

Slope: (y2-y1)/(x2-x1)
(24-(-30))/(12-(-6)) = (24+30)/(12+6)
(54)/(18) = 3
The slope is 3

PLS HELP WILL GIVE BRAINLIEST TY

Answers

Answer:

A. x=3

Step-by-step explanation:

Write the number in the exponential form with an exponent of 3.... therefore x=3 that’s your answer

PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)

Answers

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS

Answers

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

I need the answer pliss​

Answers

Answer:

Im sorry never did this before

x^2 - 6x+ 5= -11 number and type of solutions

Answers

Answer:

no real solutions

3±32i

Step-by-step explanation:

used quadratic formula

If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters

Answers

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

PLSSSSSS HELPPPPP ASAPPPP

Answers

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

(HELP ME ASAP PLEASE) Line r is the image of the linear equation below after a dilation of scale factor 2 centered at (- 1, - 2) . What is the equation of the line r? (Note: you will need graph paper to complete this problem!) 6x - y = - 6

Answers

Answer:

th equation of the line can be considered a linear function equation

Step-by-step explanation:

hope it helps

A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.

Answers

Answer:

B. the number of dimes will always be an even number

Give the solution to the system

Answers

Answer:

f(x)=x+2g(x)=-1(x-4)

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

1+2=-1(1-4)

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter.

Answers

Answer:

I believe the answer is 426.08 meters.

Step-by-step explanation:

To find the perimeter, break the shape into a rectangle and two semicircles. As two semicircles make one circle, you can do 72×3.14 to get 226.08. Then, add the length of the rectangle. 100+100=200. Finally, do 226.08+200 to get your answer.

I hope this helped!

13.2 inches is 27.5% of what number?

Answers

Answer:

48

My explanations is:

13.2:27.5*100 =

(13.2*100):27.5 =

1320:27.5 = 48

Yep pls ASAP


Fifufhucuwhhciw

Answers

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

subtract and simplify 5 6/9 - 2 1/3

Answers

Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

Remind???? anybody, or nobody???

Answers

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

Solve for x in a triangle. Round your answer to the nearest hundredth

Answers

The answer is 9tan(44)
I don’t have my calculator nearby so just type that in.

Answer:

x= 8.69

Step-by-step explanation:

tanx = opp/ adj

tan44° = x/9

x= tan44° * 9

*make sure your calculator is in degree mode

x= 8.69

The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%

Answers

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

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