A regular hexagon is inscribed in a circle with radius 9 cm. Find the area

Answers

Answer 1

Answer:

121.5sqrt(3)

Step-by-step explanation:

Ok, so all regular hexagons are made out of 6 equilateral triangles. If the hexagon is inscribed in the circle, the radius lines up with a side of one of the 6 equilateral triangles and you get 6 equilateral triangles with a side length of 9.

The formula for an equilateral triangle's area is (a/2)^2 * sqrt(3) where a = side length. That means we just plug in 9 to find the area of one of these six triangles. We get 20.25sqrt(3).

We multiply this by 6 (to find the sum of the areas of 6 equilateral triangles) and get 121.5sqrt(3)

Answer 2

The area of the hexagon will be 210.4 cm².

What is a hexagon?

The definition of a hexagon in mathematics and geometry is a polygon with six straight sides that is closed in two dimensions.

Given, a circle with a radius of 9 cm. which have a regular hexagon whose all corner touch the circle. If we draw a radius of a circle at the corner of the hexagon. then we get six equilateral triangles.

A regular hexagon is 6 equilateral triangles of side r and area

Area of triangle  = (r/2)(√3r/2)

so the total area is

A(hex ) =  (6/4) √3r²  =  3√3(r²)/2

r = 9m so

A = 210.4m²

Hence the Area of the given hexagon is 210.4 square meters.

Learn more about hexagons here:

https://brainly.com/question/3295271

#SPJ2


Related Questions

making sure my answer is correct. 2/7 + 7/14

Answers

Answer:

9 /14

Step-by-step explanation:

Answer:

I got 11/14

Step-by-step explanation:

I found a common demoninator of 14 I multplied 2/7 by two to get 4/14 then added the two fractions together

4/14+7/14 would equal 11/14

A tree surgeon reduces the height of a beech tree by 32%.
The tree is now 4.42 m tall.
How tall was it before it was reduced?​

Answers

Answer:

55

Step-by-step explanation:

4.42 x 32%

What are the common factors of 18 and 42
A. 1,2,3,6,9
B. 1,2,3,6,18
C. 1,2,3,6
D .1,3,6

Answers

C. 1,2,3,6; is the common factors of 18 and 42

Can someone please help me

Answers

I think it’s 3 good luck

Answer:i think 8

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

Hi, i really need help!
Look at the images below:
(there is 2 images per question)

Answers

Answer: the last one

Step-by-step explanation:

When an angle is rotated, its angle measure is equivalent to the angle measure of the original angle.

6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?

Answers

Answer:

5 dvds

Step-by-step explanation:

15 per dvd

15x+10 and then it has to be less then 100

I think the answer would be 5:)

Find the mean of:
1.8,1.7,1.3,1.1,1.2,1.6,1.8

Answers

The answer is letter E 1.5

Answer:

A.1.6

Step-by-step explanation:

put them in order

1.1, 1.2, 1.3, 1.6, 1.7, 1.8, 1.8

theirs seven numbers cross out the lowest numbers n the highest numbers and you should get 1.6

What is are SLOPE and EQUATION of the image?

Answers

Answer:

3

y=3x

Step-by-step explanation:

y=mx+b

y=3x+0

y=3x

wich equation shows 5 is a factor of 45

Answers

Answer:

5 times 9

Step-by-step explanation:

5(n-3)????????????!!!!!!!!

Answers

Answer:

5n-15

Step-by-step explanation:

[tex]5(n-3)[/tex]

Expand

[tex]5\times n = 5n\\\\5\times -3 =-15\\\\5n -15[/tex]

Paul runs 4.8 km every morning. How many feet are in 4.8 km?

Answers

15748 feet. hope this helps! :)

Answer:

15748 feet

Step-by-step explanation:

There are 3280.8 feet in 1 km, and if we multiply that by 4.8, we get a result of about 15748 feet. Hope it helps!

4 in.
5 in.
2 in.
4 in.
5 in.
5 in.

Answers

Answer:

I need to see the whole question but I believe you just add the numbers

Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

Answers

Answer:

hannah gets £56

Step-by-step explanation:

z   : h

3   : 7

24 : ?

24/3 = 8

8 x 7 = 56

£56

hope this helps

brainliest plz?

x

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.

Answers

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

What is the slope of the line whose equation is y-4=5/2(x-2)

Answers

Answer:

m=5/2

Step-by-step explanation:

To find the slope, use the formula y=mx+b. m is the slope. The line with the equation y-4=5/2(x-2) gives us a slope of m=5/2. Hope it helps!

Find the points of the equation 3x – 7y= 21 which intersects the x - axis and y-axis.❤THANKS YOU​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the x-intercept ;

Just need to put 0((zero)) instead of y in the equation.

Let's do it....

3x - 7y = 21

3x - 7(0) = 21

3x - 0 = 21

3x = 21

Divided sides by 3

3 / 3 × x = 21 / 3

x = 7

Thus the x-intercept is 7 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find the y-intercept ;

Just need to put 0((zero)) instead of x in the equation.

Let's do it....

3x - 7y = 21

3(0) - 7y = 21

0 - 7y = 21

-7y = 21

Divided sides by -7

-7 / -7 × y = 21 / -7

y = - 3

Thus the y-intercept is -3.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Simplify: 23x - 11x
Enter the original expression if it cannot be
simplified.

Answers

Answer:

23x-11x= 12x :)

Step-by-step explanation:

Answer: 12x

Step-by-step explanation: 23x-11x= 12x

The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis.

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given

K = 0.03W/m°C

Required

Convert K to W/cm°C

Since 1m = 100cm,

K = 0.03w/1×100cm°C

K = 3×10^-2w/10² cm°C

K = 3 × 10^-2w/10² cm°C

K = 3w× 10^{-2-2}cm°C

K = 3w×10^-4cm°C

K = 0.0003w/cm°C

Answer:

0.0003

Step-by-step explanation:

DID IT ON KHAN

and Since 1m = 100cm,

K = 0.03w/1×100cm°C

K = 3×10^-2w/10² cm°C

K = 3 × 10^-2w/10² cm°C

K = 3w× 10^{-2-2}cm°C

K = 3w×10^-4cm°C

K = 0.0003w/cm°C

Find the value of x in the triangle shown below.

Answers

I think it’s 70 because it is an acute triangle

Answer:

55

Step-by-step explanation:

I believe it's 55 because the triangle has to equal 180

so I subtracted 70 from 180 and x can't be 70 because they don't have the same lengths

subtracting  70 from 180 gave me 110 then I divided by 2 since both the top angle and x would have the same angle in degrees xD

Linda watched a video. The introduction is 2 minutes, and the video is 7 minutes. What percentage of the video is the introduction? Explain.

Answers

Answer:

22.222222%

Step-by-step explanation:

all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer

Answer: 22.23% (Infinitely Long)

Step-by-step explanation:

9 = 100%

9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]

There ya go. :)

PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!!

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

Equation: y-intercept of 1, 3​x ​– ​y = 5

Answers

Answer:

The equation is [tex]y=-\frac{1}{3}x+1[/tex]

Step-by-step explanation:

You have the y-int, so you just need to find the slope, which is the negative reciprocal of A/B since it is perpendicular. Plugging in the numbers gets you the above equation.

Work out the product of 2⅔ and 3¾​

Answers

Answer:

[tex]6\frac{5}{12}[/tex]

Step-by-step explanation:

[tex](\frac{8}{3} * \frac{4}{4} )+(\frac{15}{4} * \frac{3}{3} )[/tex] - so they have the same denominator

[tex](\frac{32}{12} + \frac{45}{12} )\\\\ \frac{32+45}{12} \\\\\frac{77}{12} \\\\[/tex]

Please help! Will give BRAINLIESTwith to the first correct answer!
∠ABC and ∠DBC are complementary angles. If ∠ABC = 6x + 13 and ∠DBC = 4x − 3 what is the value of x?

Answers

Answer:

x=8

Step-by-step explanation:

Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and the total was $18.20, what was the price of one hot dog

Answers

Your answer is 1.65.

(may have a hard time explaining it)

SO, there are 8 hotdogs and 4 bags of chips, 4 times 1.25 is 5, and 18.20 minus 5 is 13.20, so the chips are out of the equation. Now all we must do is divide what's left (13.20) by 8:

13.20/8=1.65

Hope this helps, if not, comment down below please!!!

Table function rule of y=4x+1

Answers

Answer:

y=5

Step-by-step explanation:

y equals 5 because x is 1 when you get it alone

Chris P. Bacon owns 13 animals. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal does Chris own?

it would be helpful to get the system for the equation as well.

Answers

I do not know the system of equations but I can tell you how many of each animals he has.
There are 7 pigs and 6 chickens. Pigs have 4 legs while chickens only have two.

A farmer stores bags of seed in 4 rows. There are 4 bags
in each row. How many bags of seed are there in all?

Answers

Answer:

16 bags in all

Step-by-step explanation:

4x4=16

Answer:16

Step-by-step explanation:

4*4 or 16/4 = 16

what is the sum of the 18 and 42 as a product of their GCF.

Answers

Answer:

The answer is 6

Step-by-step explanation:

In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B, the temperature drops 2 degrees F from 8AM to 9AM. Then the temperature drop 4 degrees F from 9AM to 10AM. Write an expression that represents the change in temperature from 8AM to 10AM for each city. Simplify and interpret each sum.

Answers

Answer:

is there like a image of this eqation?

Step-by-step explanation:

Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1

Answers

Answer:

1/4

Step-by-step explanation:

because you are spitting it into fourths

Answer:

1/8

Step-by-step explanation:

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