area of a regular hexagon with an apothem of 15 cm

Answers

Answer 1

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm²   (because 6 triangles make up the hexagon)


Related Questions

please help!!!

i need help with this

Answers

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

a) (2xy + 4x) + (15xy - 5x)  = 2xy + 15xy + 4x - 5x

                                         = 17xy - x

b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b²  - 3 - 5

                                           = 6a + 7b² - 8

c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x²  + 4x - 5x

                                               = 4x³  + 5x² - x

d) (7b - 6a  + 9y) - (12b + 5a - 2y) =

In subtraction, add the additive inverse of (12b + 5a - 2y)

additive inverse = - 12b  - 5a  + 2y

(7b - 6a  + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y  -12b -5a + 2y

                                                   = 7b - 12b  -6a - 5a  + 9y + 2y

                                                   = -5b - 11a + 11y

e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)

Additive inverse of  13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y

(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y

                    = 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y

                    = -2x²  - 6x  - 7 + 15y

Solve the equation above for x

Answers

Answer:

2/3x=1-2

X=-1*3/2

X=-3/2

So is - 3/2

What is the value 8x=5x+21

Answers

x = 7

8(7) = 5(7) + 21

56 = 35 + 21

56 = 56
X=7 is the answer

8x=5X+21
8x-5x=21
3x=21
X=21/3
X=7

Kay feels that if she earns a profit of 40.00 at this craft, her business will be successful enough for her to branch out to other craft fairs. How many ornaments does she have to sale to earn a 40.00 profit. Write and solve an equation then explain how the steps and operations used in your algebraic solution compare to an arithmetic solution

Answers

6x-2.50x-30=40

3.50x-30=40

3.50x=70

x=20 ornaments

Kay has to sell 20 ornaments to get a profit of $40.00.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Cost for the table = $30

Cost for each ornament = $2.50

Selling price of each ornament = $6.00

Profit = Revenue - Expense

Let x be the number of ornaments sold to get a profit of $40.00.

Revenue = 6x

Expense = 30 + 2.5x

6x - (30 + 2.5x) = 40

3.5x - 30 = 40

3.5x = 70

x = 20

Hence selling 20 ornaments would give Kay a profit of $40.00.

Learn more about Equations here :

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The complete question is as follows :

Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00.

Kay feels that if she earns a profit of 40.00 at this craft, her business will be successful enough for her to branch out to other craft fairs. How many ornaments does she have to sale to earn a 40.00 profit. Write and solve an equation then explain how the steps and operations used in your algebraic solution compare to an arithmetic solution.

Can you answer 1 and 2

Answers

Answer:

You have them both correct. #1 is B   #2 is C

Step-by-step explanation:

Remove brackets using the distributive law: -9(2r - 3s) *

Answers

The answer is -18r + 27s! :)

Answer:

-18r + 27s

Step-by-step explanation:

You would multiply 2r and -3s by -9.

At a hockey game a vendor sold a combined total of 102 sodas and hot dogs the number of hot dogs sold are 50 less than the number of sodas sold find the number of sodas sold and the number of hot dogs sold

Answers

Answer:

26 hotdogs

76 sodas

Step-by-step explanation:

x - 50 for hot dogs

x  for sodas

(x-50) + x = 102

2x -50 = 102

2x = 152

x = 76

76-50 = 26 hotdogs

76 sodas

somebody answer i need Help​

Answers

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.

6. Move each vertex one more time to a different location.
What is the sum of the angle measures of the quadrilateral?

Answers

Answer:

360

Step-by-step explanation:

I got it right

Calculate 10% of $20.00.​

Answers

Answer:

$2

Step-by-step explanation:

Divide $20 by 10 for 10 percent.

2, divide 20.00 by 10 and you get 2

Please help me!


10.6 cm
13.5cm

Area=?

Answers

Multiply those 2 numbers and divide that answer by 2

Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answer I got was 384 and it was incorrect)

Answers

Answer:

64

Step-by-step explanation:

In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.

g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the                 rumor.

r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.

Substitute into equation:     g6 = 2 x 26-1 = 2 x 25 = 2  x 32 = 64 Answer is 64.

what is the mean of the data set below 2, 3, 5, 6, 6, 10, 15, 15,

Answers

6.5 is the mean of the data

Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?

Answers

Answer:

[tex]X=25.98cm[/tex]

Step-by-step explanation:

From the question we are told that:  

Length of each side [tex]l=30cm[/tex]

Let the triangle be divide by two form a right angle triangle with base angles as [tex]90 \textdegree[/tex](angle of perpendicularity) and [tex]60 \textdegree[/tex] (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

[tex]X=30sin60[/tex]

[tex]X=15\sqrt{3}[/tex]

[tex]X=25.98cm[/tex]

Please help:(

A. D: (2, 1, 0, -2, -3), R (1, -3, -3, -3, -4}

B. D: (-3, -2, 0, 1, 2}, R: (-4, -3, 1)

C. D: (-3, -2, 1, 1, 2), R: (1, -3, -4)

D. D (-3, -2, 0, 1, 2), R (1, -3, -3, -3, -4)

Which is the answer?

Answers

Answer  c would be the answer hope it helps

Step-by-step ex planation:

Determine the value of x in the figure below:

A
43.23
B
.02
C
48.95
D
31.95

Answers

Answer:answer is D

Step-by-step explanation:

Please help out and explain the best you can !

Answers

Answer:

you need to rotate the shape to the right into the upper right hand section of the graph

you are starting your own small business in Albuquerque. you borrow $10,000 from the bank at 9% rate for 5 years. find the interest you will pay on this loan.

Answers

Answer:

2,455

Step-by-step explanation:

Your monthly payment on a personal loan of $10,000 at a 9% interest rate over a 5-year term would be $208. You would pay $2,455 in total interest over the life of this loan.

Hope this helps! c:

*EXTRA PTS* answer these pls :)

Answers

Answer:

3)x=7,y=-2

Step-by-step explanation:

Answer:

3, (7, -2)

4, no solution

Step-by-step explanation:

What is 9 006 in word​

Answers

Answer: 9006 in word form is nine thousand six ,

I hope you find this helpful.

Answer: 9,006 in word-form is nine thousand six.

Explanation: To write a number in word form, simply type the number in word form like I did above. If a digit doesn't have a zero, don't type zero, just type the number like I did above. Notice how I didn't include the word "zero" in my answer.

Let me know of any questions or concerns.

Eight figures are below. Which ones are polygons?


Type your answer as a list, separated by commas. For example, if you believe A, B, and C are polygons, type A, B, C.

Answers

Answer:

A,C,D is the answer

Answer:

C. is the answer................

Someone Please help me

Answers

1) x1= -8 , x2=16
2) x= 11
3) 7/8 or 0.875

What is the value of the expression?

−5/12+7/34

Answers

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

I forgotususjaajjajajaa

The area of a rectangle is 20 mm2. If the width is 4 mm, find the length?

Answers

Answer:

length = 5 mm

Step-by-step explanation:

area = width x length

20 mm² = 4 mm x length

divide both sides of the equation by 4 mm:

length = 5 mm

Answer:

lenght 5

Step-by-step explanation:

can any one help me i really need it

Answers

34 try the app Cymath it’s great for math

Answer:

i got 722.5, Not sure if this is right but it's what I got

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y

Answers

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

The answer is 19

4(4) + 3(2) - 3

16 + 6 - 3

22 - 3

19

Someone please help me

Answers

Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

 

Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6

Answers

Answer:

1/6

Step-by-step explanation:

There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6

The solution is,  the probability that the result will have at least one two in it is, 1/6.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Two six-sided number cubes are rolled at the same time.

so, we get,

There are 12 numbers in total.

There is a 2 on each cube so there are two possible chance.

2/12=1/6

2/2=1

and 12/2=6

now, we have,

therefore 2/12=1/6.

Hence, The solution is,  the probability that the result will have at least one two in it is, 1/6.

To learn more on probability click:

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HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry!

Answers

Answer:

1. 7.3

2. 33.3

3. 9.2

4.31.9

5.25.6

6.11

7.42°

8.64°

9.13°

10. 51°

Step-by-step explanation:

Hope this helps.

Please help links=report and if correct I’ll mark you brainiest

Answers

Answer:

A is the correct answer.

Hope this helps [tex]\mathtt{: )}[/tex]

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