9. A quilt pattern will use the block shown in the graph with regular hexagon
ABCDEF that has points A(4,0) and D(-4, 0). What is the area of the hexagon
to the nearest tenth? Show all work. [5 points]

9. A Quilt Pattern Will Use The Block Shown In The Graph With Regular HexagonABCDEF That Has Points A(4,0)

Answers

Answer 1

From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.

How can the area of the hexagon be found?

The given parameters are;

Shape of the quilt pattern = A regular hexagon

Coordinates of point A = A(4, 0)

Coordinates of point D = D(-4, 0)

Required;

The area of the hexagon

Solution;

The coordinates of the center of the hexagon, P = (0, 0)

A regular hexagon consist of six equilateral triangles.

The length of a side of the triangle = PA

Length of PA = 4 - 0 = 4

Therefore;

Length of a side of the triangle = 4

Height of the triangle = PA × sin(60)

Which gives;

Height of the triangle = 4 × (√3)/2 = 2•√3

Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2

Area of the 6 triangles is therefore;

A = 6 × 4•√2 = 24•√2

Area of the 6 triangles = Area of the hexagon

Therefore;

Area of the hexagon = 24•√2 = 33.94 square units.

Learn more about the area of regular shapes here;

https://brainly.com/question/10572314


Related Questions

solve this problem pls ​

Answers

Answer:

1) 200.

Step-by-step explanation:

Men = 1/³

Women = ⅔

50 men, 100 women

2:1 women to men.

there are 200 people in total.

Answer:

total people : 600

Explanation:

Let the total people be x,

men : [tex]\sf \dfrac{1}{3} (x)[/tex]

women : [tex]\sf \dfrac{2}{3} (x)[/tex]

[tex]\hookrightarrow \sf \dfrac{2}{3} (x) - \sf \dfrac{1}{3} (x) = 200[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} (x) = 200[/tex]

[tex]\hookrightarrow \sf x = 600[/tex]

There are total 600 people.

men : (1/3)*600 = 200

women : (2/3) * 600 = 400

Tony works 25 hours per week. His take home pay is $19.20 per hour. If Tony is able to save all of his earnings, how
long will it take him to save at least $5760? Show your work.

Answers

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Need help with his geometry question. Find the value of x

Answers

Answer: 3

Step-by-step explanation:

A rectangular room is 21 feet wide. It is
three times as long as it is wide. What is
the perimeter of the room?

Answers

Answer:

I think the answer is 7

Step-by-step explanation:

7 multipled my 3 equals 21.

What are levels of mathematical acquisition in pre-junior

Answers

Answer: Number Sense – Understanding Quantity.

Representation – Using Symbols and Words to Represent Numbers.

Shapes and Spatial Relationships (Geometry)

Measurement – Comparing and Communicating about size.

Patterns – Recognizing and Making Patterns.

Problem Solving.

Step-by-step explanation: boom!

Which of the binomials below is a factor of this expression?

49x^2 + 28xy + 4y^2

A. 7x + 4y

B. 7x + 2y

C. 7x - 2y

D. 7x - 4y

Answers

Answer:

B. 7x+2y

Step-by-step explanation:

[tex]49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)[/tex]

What is the distance
between (-6, -2) and (2, 4)?

Answers

Answer:

10

Step-by-step explanation:

distance = √(-6-2)^2+(-2-4)^2

Ans=10

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[tex] \rule{60mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{Given ↦}} \\ [/tex]

A ( -6 , -2 ) ( x1 , y1 )B ( 2 , 4 ) ( x2 , y2 )

[tex] \rule{60mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{By \: DISTANCE \: FORMULA ↦}} \\ \\ \rm{AB =\sqrt{( x2-x1)^{2} +(y2-y1) ^{2} }}[/tex]

[tex] \rule{60mm}{2.2pt}[/tex]

Substituting values

[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]

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[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Need some help 54 pts

Answers

Step-by-step explanation:

as shown in the picture.

you can comment if there is a problem

What is a Semicircle?

Answers

Answer:

half a circle

A semicircle is half a Circle! :)

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

y=-2x-2

Step-by-step explanation:

I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b

Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)

Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.

what is 2+2 because i just decided to ask this

Answers

Answer:

4

Step-by-step explanation:

2+2 = 4

2+2=4

Hope this helps:)

What is 5 1/3% converted into a fraction?

Answers

      Answer: [tex]\frac{4}{75}[/tex]

      To Know: A percent (%) divided by 100 becomes a decimal / fraction.

      Step-by-step explanation:

[tex]5\frac{1}{3}[/tex]% [tex]/100[/tex]

[tex]5\frac{1}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16*1}{3*100} =\frac{16}{300} =\frac{8}{150}=\frac{4}{75}[/tex]

     Leaving us with an answer of [tex]\frac{4}{75}[/tex]

Which is the best definition for adjacent angles?

Answers

Answer:

Adjacent Angles are 2 angles with common sides and a common vertex that don't overlap in any way.

Step-by-step explanation:

Leave a comment if you need any more help. Give Brainiest, please.

solve the equation: 4 x 2 + 8 = - 7
X=

Answers

Answer:

Hope the picture will help

[tex]\frac{16}{7}[/tex]Answer:

X = -16/7

Step-by-step explanation:

Multiply the numbers

4 x 2 + 8 = -7x

8 + 8 = -7x

Add the numbers

8 + 8 = -7x

16= -7x

Divide both sides by the same factor

16= -7x

16 divided bu -7x and -7x divided by -7x

Simplify

-16 divided by 7 not negative 7 and -7 divided by -7

Cancel terms that are in both the numerator and denominator

cancel out -7 divided by -7 and you get -16/7 left

so, therefore x= -16/7

                             

Find the value of x. Round your answer to the nearest tenth.

Answers

16.4 that is the answer! Use tan(64)*7

Alma reads 2 books each week Which number line best represents the number of weeks it
will take her to read at least 28 books?

Answers

Answer:

[C]

Step-by-step explanation:

To Find:

which number line represents the number of weeks it will take Alma to read at least 28 books.

Solve:

Create an inequality from the given information :

( 2x ≥ 28, where x represents the number of weeks)

Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.

Now,  chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).

Hence, [C} is the correct answer.

~Lenvy

A jogger burned 96 calories during 8 minutes of jogging. At that rate, how
many calories would be burned during 14 minutes of jogging?

Answers

Solving Proportions

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}[/tex]

⇒ In this example, we are solving for x.

Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]

Solving the Question

We're given:

8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burned

Set up a proportion:

[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

[tex]8x=14*96\\8x=1344\\x=168[/tex]

Answer

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

May someone please help me on this one

Answers

the greatest will be  + 567

then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99

A flower shop has 426 flowers. This week they sell 285 flowers.
At the end of the week, the shop gets a delivery of 310 more flowers.
How many flowers does the flower shop have now?

A.
401

B.
429

C.
451

D.
461

Answers

Answer:

C. 451

Step-by-step explanation:

426 - 285 = 141

141 + 310 = 451

how many millions are there in 1 core?

Answers

Answer:

10 million

Step-by-step explanation:

7) A rectangle has a perimeter of 12y2 – 2y + 18 and has a width of 4y? – y +6. What is the
length of the rectangle?

Answers

Answer:

4

Step-by-step explanation:

(12y2-2y+18)/(4y2-y+6)=3-2+3=4

What is the value of x in this figure?

Answers

Step-by-step explanation:

Tan = Opposite/ Adjacent

Tan 50 = 100/Adj

Adj = 100/tan50

Similarly, Tan30 = Opposite/ Adjacent

Opposite = 100tan30

therefore X= 100/tan 50 - 100 tan30

Find three points that lie on the circle

Answers

Answer:

Use (a-b)2 formula that is a2-2ab+B2

I think it will help you

Suposse X=a

y= B

And then use formula

I need help with number one and thank you for your help

Answers

Answer: B

Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B

Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.
Select all the batches that will create the same colors as the first batch.
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6

Answers

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

Step-by-step explanation:

D batch 5

c. batch 4

so d and c

Help
ASAP...........

Answers

Step-by-step explanation:

[tex](9x + 24) + 30x = 180[/tex]

[tex]39x + 24 = 180[/tex]

[tex]39x = 156[/tex]

[tex]x = 4[/tex]

Hence,we know

<DEC

[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]

<AEB=<DEC=60

Hey ! Can anyone help me solve these problems please. Thank you !

Answers

[tex] \qquad\begin{gathered} \begin{array}{ ||c|| c} \hline \\ \textsf { \huge{ \underline{lets\: \: solve}}} \\ \\ \: \: \sf6. \: \underline{ find \: measure \: of \: angle \: TSR}\: \: \\ \\ \textsf {As we know, diameter subtends 90° } \\ \textsf{ at an arc of same circle.} \\ \textsf{ hence we can conclude that :} \\ \\ \rm{ \therefore\angle \:TSR = 90 \degree } \\ \\ \\ \sf7. \: \underline{ find \: measure \: of \: angle \: subtended }\\ \: \underline{ \sf by \: arc \: ST \: at \: the \: centre \: of \: circle}\: \\ \\ \\ \textsf{Angle subtended by an arc at centre} \\ \textsf{ of the circle is double the angle} \\ \textsf{ subtended by the same arc on other } \\ \textsf{ part of circle, hence we can} \\ \textsf{conclude that :} \\ \\ \sf\angle SOT =2 \angle SRT \\ \\ \angle \sf SOT =2 \times 41\degree \\ \\ \sf \therefore\angle SOT = 82 \degree \\ \\ \\ \\ \hline \end{array} \end{gathered}[/tex]

A gym has 12 exercise stations, including 4 weightlifting benches.

What is the probability that a randomly selected exercise station will be a weightlifting bench?

Answers

probability : 1/3

Explanation:

total people : 12weightlifting benches : 4

probability = selected/total

Here,

probability = 4/12 = 1/3 = 0.33
Total exercise stations=12Weightlifting benches=4

E=Weightlifting bench

So

P(E)=4/12P(E)=1/3

Plsss helppp me find the slope and yint

Answers

Answer:

Y-Intercept: (0, -5)

Slope: 1/2

Explanation:

The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.

Aaron bought 14.6 gallons of gas for $1.98 per gallon. How much did he spend on gas?

Answers

Answer:

= 29$ (to the nearest dollar)

Step-by-step explanation:

14.6 gallons of gas

       1 gallon = 1.98$

 14.6 gallons = 14.6 × 1.98$

          = 28.90800$

                   = 29$ (to the nearest dollar)

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