A planter is shaped like a regular hexagon. The side lengths are 2 meters and the apothem is √3 meters. What is the area of the hexagonal planter?


20.78 in²

8.66 in²

10.39 in²

18 in²

Answers

Answer 1

Answer:

20.78in^2

Step-by-step explanation:

Answer 2

Answer:

10.39 in^2

Step-by-step explanation:

A=1/2 Pa. The P is for perimteter and the a is for apothem. You insert the numbers

A=1/2 (2) (-/3)

A= 10.39

Hope this helps :)


Related Questions

Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how many of each did he buy

Answers

Answer:

Javon purchase Energy cards = 52

Javon purchase Dragon cards = 75

Step-by-step explanation:

Given - Javon spent $687 on pokemon cards. Energy cards cost $6

             and dragon cards cost $5.

To find - If he bought a total of 127 packs then how many of each did he buy ?

Proof -

Let Javon purchase Energy cards = x

     Javon purchase Dragon cards = y

Now,

Given that he bought a total of 127 packs

⇒x + y = 127

Also,

Cost for 1 Energy card = $6

⇒Cost of x Energy cards = $ 6x

And

Cost of 1 Dragon card = $5

⇒Cost of y Dragon card = $ 5y

Now,

Given that Javon spent $687 on pokemon cards.

⇒6x + 5y = 687

∴ we get

x + y = 127                                 ..................(1)

6x + 5y = 687                            .................(2)

Multiply by 6 in equation (1) , we get

6(x + y) = 6(127)

⇒6x + 6y = 762                          .................(3)

Now,

Subtract equation (2) from equation (1) , we get

6x + 6y - (6x + 5y )= 762 - 687

⇒6x + 6y - 6x - 5y = 75

⇒y = 75

Now,

Put the value of y in equation (1), we get

x + 75 = 127

⇒x = 127 - 75

⇒x = 52

∴ we get

Javon purchase Energy cards = x = 52

Javon purchase Dragon cards = y = 75

Don’t mind my answer if that was an accident but please hurry I need help

Answers

Answer: 882

Step-by-step explanation:

75% is the same as 3/4.

You would divide the total number of customers 1176 by 4 to find 1/4 then times by 3 to find 3/4 or 75%.

1176 divided by 4 = 294

294 times 3 = 882

answer asap pllsssssss​

Answers

Answer:

the answer is 21x+11

Step-by-step explanation: hope this helps

Step-by-step explanation:

5(3x+3) + 2(3x-2)

15x + 15 6x - 4

15x + 16x + 15 - 4

21x + 11

Bobby earns $72 for the day and $6 for each delivery he makes. He wants to make $150 in work day. How many deliveries must Bobby make to reach his goal?

Answers

Answer:

He needs to make 13 deliveries

What is the exact circumference of a circle with a radius of 12 inches ?
6 in.
12 in.
24 in.
48 in.

Answers

The radius of a circle is half the length of the circumference.
So multiply 12 by itself and you get 24.
The answer is C.

Answer:

24 inches

Step-by-step explanation:

Circumference: 2π×12= 24π

:)

Joanna earns $12 per hour at her job. Last week, joanna earns $432 use this information to answer the next questions.

Answers

The given question is incomplete. The complete question is:

Joanna earns $12 per hour at her job. Last week, joanna earns $432

use this information to answer the next question. Which equation can be used to determine the number of hours Joanna worked last week.

a. h+ 12 = 432

b. 432 h =12

c. 12 h = 432

d. [tex]\frac{1}{12} h=432[/tex]

Answer: c. 12 h = 432

Step-by-step explanation:

Given : Amount paid per hour = 12 $

12 $ are earned by Joanna by working for = 1 hour

Thus 432 $ are earned by Joanna by working for = [tex]\frac{1}{12}\times 432hour=36hours[/tex]

Thus the equation that can be used to determine the number of hours Joanna worked last week is [tex]12\times h=432[/tex]

the original price of an item is $80. what is it's selling price after the store adds a markup on 60%

Answers

Answer

$128

Step-by-step explanation:

Okay well if $80 is 100% then 60% is 48 dollars.

so 80 +48=128

What equivalent fractions for 2 3/5 and 1 1/3 using a common denominator

Answers

Answer:

The common denominator is 15.

2 3/5 = 13/5 = 39/15

1 1/3 = 4/3 = 20/15

Answer:

39/15 and 20/15

Step-by-step explanation:

Given function:

2 3/5 and 1 1/3to find the equivalent fraction for both fraction using common denominator..

Rewrite 2 3/5 and 1 1/3 by a number that is equivalent to 5 and 3:

[tex]5,10,15[/tex]  [tex]3,6,9,12,15[/tex]

Multiply each numerator by how much times it turned into 15:

[tex]3[/tex]·[tex]3=9[/tex] [tex]1[/tex]·[tex]5=5[/tex]

Simplfly the fraction terms:

[tex]2\frac{9}{15}=\frac{39}{15}[/tex] [tex]1\frac{5}{15}=\frac{20}{15}[/tex]

Therefore, 39/15 and 20/15 is equivalent to 2 3/5 and 1 1/3.

Simplify
x^2-9/x^2+x-12

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Multiply the complex numbers:

1: (1 - 4i)(3 - 3i)
2: (2 + i)(3 + 3i)
3: (-7i)(7i)(-7 - 8i)

Answers

Answer:

Step 1

Step 2: Simplify the powers of i, specifically remember that i2 = –1.

Step 2

Step 3: Combine like terms, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 3

Answer:

Step-by-step explanation:

1:-9 - 15 i

2: 12 + 6 i

3: -343 - 392 i

Solve the system of equations by elimination.
2x - 9y = 23
5x - 3y = -1
*Be sure to enter your answers as a point

Answers

Answer:

Step-by-step explanation:

1. 2x - 9y = 23

2 x = 9 y + 23

y = (2 x)/9 - 23/9

2 x - 9 y - 23 = 0

2. 5x - 3y = -1

5 x + 1 = 3 y

y = (5 x)/3 + 1/3

5 x - 3 y + 1 = 0

I belive that should help you out a bit :D

Answer:

(x,y) = (-1/5 + 3v/5, -13/5+2v/15)

Step-by-step explanation:

((7848 ? 36) ? 213) ? 40 = 200

Answers

Divide minus multiply

In a soccer game, sending the goalie up on a corner kick sometimes results in a goal and gives the team a one man advantage. Assume soccer teams do this about 20% of the time. Of the times that teams send a goalie up, 30% result in that team scoring in the next 40 seconds of the game. On the other hand, 10% of the times that teams do not send a goalie up for a corner kick results in that team scoring in the next 40 seconds of the game. A sports statistician wants to know the probability of a team sending a goalie up and scoring within 40 seconds. What is this probability?

Answers

Answer:

90% chance

Step-by-step explanation:

they need an extra man to help for the last point

Answer this - 3 - 3 (+2)

Answers

Answer:

-3-6= -9

.......................

Answer:

if you mean -3-3 +2 then it is -4

if you mean -3-3(2) then it is -9

Step-by-step explanation:

Which measurements are greater than 134 inches?

Answers

Answer:

C 4 yards

Step-by-step explanation:

random guess sorry.

Answer:

A is the answer!

Step-by-step explanation:

134 inches is equal to 3.7 yards

134 inches is equal to 11.1667 feet.

PLEASE HELP QUICKLY!!!
Which one is it?
Need help.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

for every one day there is a distance of 50 miles, therefore you multiply the days (T) by 50 to get your distance

need help asap will give brainly

Answers

1, X = 6
2, X = 13
3, X = 9

A circle has a cincumarence of 907.46 units,What is the diameter of the circle?

Answers

Answer:

C=pi x diameter

diameter=C/pi

I dont know what your teacher wants in terms of pi but lets use 3.14 and π

907.46/3.14=289.0 units

907.46/π=288.85

Todos los triángulos equilateros son iguales cierto o falso ​

Answers

Answer:

Cierto

Step-by-step explanation:

Los triángulos equiláteros son siempre iguales porque siempre tienen ángulos de 60 grados.

Si esto le ayudó, marque como más inteligente

Jacqui ran 3.5miles in 29 3/4 minutes. how long did it take her to complete each mile?​

Answers

8.5 miles/minute. You divide

Im so sorry yall!!!!!

Answers

Can you take a better pic sorry if I sound rude it’s not clear

help me, will give money at this point.

Answers

Answer:

3a- 4/9

3b- 2/9

3c- 0/9

4a- it is unlikely to take the bus

4b- the show is gonna be on tonight.....or certain to happen

4c- there is a even chance of flipping tails

4d- i would say it is an even chance or unlikely

4e- likely to have milk

Step-by-step explanation:

A theoretical probability is the probability of an event to have or you could say number of outcomes over number of total possible outcomes

Simplify (6 x r) x 7

Answers

Answer:

42x7r is your answer ☺️☺️☺️

(Choice A)
A
Equilateral triangle

(Choice B)
B
Isosceles triangle

(Choice C)
C
Right triangle

(Choice D)
D
Acute triangle

(Choice E)
E
Scalene triangle

(Choice F)
F
Obtuse triangle

Answers

Answer:

That is an obtuse scalene triangle

Step-by-step explanation:

Scalene- has no congruent sides

Obtuse - has an angle that is greater than 90

we can use Pythagorean theorem to confirm this

The Pythagorean theorem states that in an obtuse triangle the hypotenuse squared is greater than the two legs squared added together

so basically [tex]7^2>4^2+5^2\\7^2=49\\4^2=25\\5^2=25\\25+16=41\\49>41[/tex]

therefore it is an obtuse scalene

Answer:

(Choice E) E Scalene triangle and (Choice F) F Obtuse triangle

Step-by-step explanation:

Aside from E, Scalene triangle (as all the sides are of different lengths, we can assume that the angles will also be), the answer can either be B, Isosceles triangle or F, Obtuse triangle, so let's figure that out using the cosine rule! If it is an obtuse triangle, this means Angle ABC is bigger than Angle BAC and Angle BCA. But we can clearly see it is, as it's an Obtuse Triangle is a triangle where 1 angle is bigger than 90 degrees. Let's work out Angles BAC and BCA to find out if the triangle is obtuse or isosceles.

[tex]a^{2} = b^{2} +c^{2} -2bcCosA[/tex]  This is the cosine rule formula. Now all we need to do is substitute in the values. We are using the cosine rule because we aren't given any angle values. We use Further Trigonometry instead of SOHCAHTOA as this clearly isn't a right-angled triangle. SOHCAHTOA only applies to triangles with a 90 degree angle, also known as a right-angled triangle. Let's rearrange the cosine formula so that we have everything equal to A instead.

[tex]A = cos^{-1}(\frac{b^{2} + c^{2} - a^{2} }{2bc})[/tex]

We will work out BAC first.

a = 5

b = 4

c = 7

[tex]A = cos^{-1}(\frac{4^{2} + 7^{2} - 5^{2} }{2(4)(7)})[/tex]

A = 44.4 rounded to 3 significant figures

Next, we will work out BCA.

a = 4

b = 5

c = 7

[tex]A = cos^{-1}(\frac{5^{2} + 7^{2} - 4^{2} }{2(5)(7)})[/tex]

A = 34.0 rounded to 3 significant figures

The answer is F, Obtuse triangle and E, Scalene triangle

If we just worked out BAC, we would have noticed that by assuming BCA was also 44.4, the obtuse angle would be 91.2 degrees, which is barely above 90 degrees, therefore we would have correctly guessed the triangle as obtuse from there-on. I just worked out BCA as evidence to support that Triangle ABC cannot be isosceles, therefore we can eliminate that option and classify this triangle as Obtuse.

I hope my explanation helps!!

The area of a rectangle is 20x2 - 27x- 8.
The length is 4x + 1. What is the width?

Answers

Answer:

5x - 8

Hope it helped :)

Answer:

5x-8

Step-by-step explanation:

im assuming you mean 20x^2 instead of 20x2 bc when you copy and paste it usually gets rid of the "^".

the area of a rectangle is length*width

so, to find the width, we have to solve the equation (4x+1)*width=20x^2-27x-8

the goal is to find (20x^2-27x-8)/(4x+1)

there is many ways to solve this: long division, synthetic division (easiest way)

but I'll just do guess and check

we know that the answer is in the form ax+b

we also know that b*1=-8 bc that's just how foiling works

We also know 4a=20

so, the answer is 5x-8

obviously you can check this answer if you are unsure of it being correct

(4x+1)(5x-8) = 20x^2-32x+5x-8 = 20x^2 - 27x - 8

so it does work

after how many audio books will both book clubs cost the same amount.​

Answers

Answer:

2 books

Step-by-step explanation:

10 + 5x = 16 + 2x

    - 2x         - 2x

10 + 3x = 16

-10          -10

3x = 6

/3    /3

x = 2

Please help! I have been working for hours and I-
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
40 points!~

Answers

Answer:

7 is C

8 is B

9 is C

Step-by-step explanation:Focus on your class please

Answer:

1. C

2. A

3. C  

Step-by-step explanation:

Describe how to graph the line y=2/3x+5

Answers

1. Plot a dot on 5 on the x-axis.
2. Go up 2 and right 3 and plot.
3. repeat step 2.

Write an equation to describe the relationship between a and b.

Answers

Answer:

I think the answer would be :

b = 0.375 a

Hope it was helpful for you ^^ .

In the morning a farm worker packed 4 pints of strawberries every 6 minutes.In the afternoon she packed 1 pint of strawberries every 3 minutes.What was the difference between her morning and afternoon packing rates,in pints per hour?

Answers

Answer:

20 pints per hour

Step-by-step explanation:

60/6 = 10

10 x 4 = 40

40 pints/hour in the morning

60/3 = 20

20 x 1 =20

20 pints/hour in the afternoon

40 - 20 = 20

20 pint/hour difference

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