A regular hexagon is inscribed in a circle with a diameter of 8 inches.

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

Step by step please!!!

A Regular Hexagon Is Inscribed In A Circle With A Diameter Of 8 Inches.a. What Is The Perimeter Of The

Answers

Answer 1

Answer:

b) 41.6 square inches

Step-by-step explanation:

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

Step 1

We find the radius

Radius = Diameter/2

= 8 inches/2 = 4 inches

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

An hexagon has 6 sides

The number of angles in an hexagon is calculated as:

[(Number of sides - 2) x 180]

= (6 - 2) x 180 = 720 ÷ 6 = 120°

The hexagon into 6 equilateral triangles with 4 for each of its sides.

The area of one of the triangles:

Height = 2√3

- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3

The area of the hexagon by multiplying the one triangle's area by 6:

6 x 4√3 = 24√3 square inches

= 41.569219382 square inches

Approximately = 41.6 square inches


Related Questions


In the accompanying diagram of circle O, mAB = 64 and
m What is the measure of CD?
A 104°
B 80°
C 52°
D 40°

Answers

Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X

The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?

Answers

Answer:  The two angles add up to 180 so they are supplementary angles.  

The sum of their measures is 180 degrees.

Step-by-step explanation:

Plug in given value for x.  

x=20

(3x+50)=

(60+50)=110

110

(4x-10)=

80-10=70

70

There are several true things about these angles you can find from this information but I think you are looking for the answer at top.

The radius of a circle is 17 in. Find its area in terms of π.

Answers

A≈907.92in²

Because:

A=πr2=π·172≈907.92028in²

Answer:

289π or 907.46 in

Step-by-step explanation:

The formula for area of a circle is π r².

The radius is 17, so the first step is 17².

17²= 289

Next, you multiply 289 by pi (3.14).

3.14 x 289 = 907.46.

Therefore, the area in terms of pi is 289π or 907.46 in.

Which of these correctly rearranges the terms in this polynomial so like terms are next to each other

Answers

Question is not complete, so i have attached it.

Answer:

B: -2x² - 6x² - 6x + 3x + 3 + 2

Step-by-step explanation:

From the image attached, the given polynomial is;

3 - 6x - 2x² + 3x - 6x² + 2

For like terms to be next to each other, we have to rearrange it as follows;

-2x² - 6x² - 6x + 3x + 3 + 2

Like terms are x² and x, thus they are now arranged next to each other.

The only option that corresponds to our answer is option B

Two angles of a quadrilateral measure 110° and 120°. The other two angles are in a ratio of
3:10. What are the measures of those two angles?

Answers

Answer:

30, 130

Step-by-step explanation:

sum of internal angles in a quadrilateral is 360.

sum of other two angles

[tex] = 360 - (120 + 110) \\ = 360 - 230 \\ = 130[/tex]

I need help with this question, I already know the answer but I need someone to explain step by step

Question: 3x-y=5

Answer: y=3x-5

Answers

Answer:

y=3x-5

Step-by-step explanation:

so step by step would go like this

1) add Y to the opposite side

3x=Y+5

2)Subtract 5 from the side with Y

y=3x-5

solve for y
2y-13=11

Answers

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

-----------------------

2y   =  24

/2        /2

-----------------------

y      =  12

Factorize this question​

Answers

Answer: (3a+5b)(3a−5b)(a+b)(a−b)

Step-by-step explanation:

Factor 9a4−34a2b2+25b4

9a4−34a2b2+25b4

=(3a+5b)(3a−5b)(a+b)(a−b)

James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.

Answers

Answer:

43+25=68

Step-by-step explanation:

if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?​

Answers

Answer:

8 bags

Step-by-step explanation:

If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.

The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.

Answers

Answer:

Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!

Answers

Answer: y=-3/4x+2

Step-by-step explanation:

Use rise over run, which is a method you use to find the slope. you find out how much the y value has changed over x.

Take the two points in the graph, (0, 2) and (4, -1). then you want to find the difference in the x and y.

X: 0 - 4 = -4

Y: 2 - (-1) = 3

Then do the equation y/x.

3/-4 = -3/4

That's the slope. Now locate the point at x=0.

The point is already given (0, 2). This is the y-intercept.

Plug in the slope and y-intercept into y=mx+b.

y=-3/4x+2

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?

a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.

Answers

Answer:

A.......No, the distance from the restaurant to Ada’s house is  miles, which is greater than the 6-mile maximum radius

Step-by-step explanation:

Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:

a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:

[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]

Greater than 6 miles, hence option a is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

will give brainlist

Answers

Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements

What is the value of x in the equation −8 + x = −2? (1 point)

−10

−6

6

10

Answers

the answer is positive 6
Answer: X=6
-8+=-2
X-8=-2
X-8+8=-2+8
X-8+8=-2+8
X=-2+8
Simplified to 6

145/250 = ??
Giving brainliest

Answers

Answer:

exact form= 29/50

decimal form= 0.58

percent form= 58%

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.

What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.

Answers

Answer:a

Step-by-step explanation:

Answer:

y = (10/9)x - 138/9

Height of 164.7 cm for an arm span of 162 cm

Step-by-step explanation:

First we find the slope.  (178 - 168)/(174 - 165) = 10/9

Now use the point-slope form of a line

y - 168 = 10/9(x - 165)

9y - 9(168) = 10(x - 165)

9y - 1512 = 10x - 1650

9y = 10x - 138

y = (10/9)x - 138/9

If the arm span is 162 cm, then x = 162

y = (10/9)(162) -138/9

= 180 - 15.3

 = 164.7 cm

Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?

Answers

Answer:

No

Step-by-step explanation:

1. (270 * 3) + (650 * 1)

2. 810 + 650

3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.

4. 1500 > 1460, so Mark would not meet his goal by doing this.

Factorice lo siguiente
5

Answers

Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

Can someone please help me with math.

Answers

Answer:

6. B

7. D

Step-by-step explanation:

[tex]\sqrt{4}[/tex] = 2

Point A Before: ( 1 , 3 )

1 - 4 = -3

3 - 2 = 1

( -3 , 1 )

hope this helps

WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING
RULER AND COMPASSES?
(a) (b) 85 (c) 15 (d) 135

Answers

It is d hope this helps

7/3 + x=3;x math I really need help

Answers

Given:

The equation is:

[tex]\dfrac{7}{3}+x=3[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{7}{3}+x=3[/tex]

Subtract both sides by [tex]\dfrac{7}{3}[/tex].

[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]

[tex]x=\dfrac{9-7}{3}[/tex]

[tex]x=\dfrac{2}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.

Can someone help me on this plzzz

Answers

sub in the number
10(6)-3
=60-3
=57

❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗

Answers

Answer: c

Step-by-step explanation:

Answer:

again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties

Step-by-step explanation:

doesn't mean I'm right though.

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Which of the following is the correct value of x?
A. 62
B. 31
C. 118
D. 56

Answers

Answer:

31°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° we can calculate the measure of missing angles using this information

The given triangles are isosceles I have drawed the on the shape, check out the attachment olease.

pls help me, i will actually give BRAINLIEST:

What is the transformation shown in the graph?

Answers

Answer:

Step-by-step explanation:

it's rotated by 90° about the origin , in a clock wise direction

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