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
solve this problem pls
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 = 200women : (2/3) * 600 = 400Tony 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.
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
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?
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
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
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)?
Answer:
10
Step-by-step explanation:
distance = √(-6-2)^2+(-2-4)^2
Ans=10
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[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]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Need some help 54 pts
Step-by-step explanation:
as shown in the picture.
you can comment if there is a problem
What is a Semicircle?
Answer:
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
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
Answer:
4
Step-by-step explanation:
2+2 = 4
What is 5 1/3% converted into a fraction?
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?
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=
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.
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?
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?
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 QuestionWe're given:
8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burnedSet 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]
AnswerTherefore, the jogger would burn 168 calories in 14 minutes of jogging.
May someone please help me on this one
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
Answer:
C. 451
Step-by-step explanation:
426 - 285 = 141
141 + 310 = 451
how many millions are there in 1 core?
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?
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?
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
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
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
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...........
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 !
[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?
probability : 1/3
Explanation:
total people : 12weightlifting benches : 4probability = selected/total
Here,
probability = 4/12 = 1/3 = 0.33E=Weightlifting bench
So
P(E)=4/12P(E)=1/3Plsss helppp me find the slope and yint
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 $1.98 per gallon. How much did he spend on gas?
Answer:
= 29$ (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)