a regular hexagon has 18 sides calculate the size of each interior

Answers

Answer 1

Answer:

[tex]160[/tex] °

Step-by-step explanation:

An alternative method is to use the exterior angle.

the sum of the exterior angles is ALWAYS 360 °

So you can find the size of the exterior angles of a regular polygon quite easily:

If there are 18 sides ( n = 18 ) , then each exterior angle is:

[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°

The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.

∴ each interior angle is 180° - 20° = 160°

A Regular Hexagon Has 18 Sides Calculate The Size Of Each Interior

Related Questions



A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many
of them own a car

Answers

Answer:

The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.

HELP PLEASE, I'LL GIVE BRAINLIEST.


if x + yi = (1 + i)⁴ , then x + y = ......

a) 4
b) - 4
c) 2
d) - 2

an explanation for future reference would be greatly appreciated <333

Answers

x + yi = (1 + i)⁴

then -4 + 4 = x

What is the constant of proportionality shown in the table?

Answers

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

What is the constant of proportionality ?

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

y = dependent variable k = constant of proportionality x = independent variable

k = y/x

6/2 = 3

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Answer:3

Step-by-step explanation:


Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve

A. 50 students at a icecream parlor

B. 5 students at a icecream parlor

C. 50 students at a hamburger restaurant

D. 5 students at a hamburger restaurant

Answers

Answer:

A

Step-by-step explanation:

You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor

3. The Wang family has a take-home income of $45 000 per year. If they budget 22% for rent, how much rent would they budget for the year? How much for each month?​

Answers

Answer:

Step-by-step explanation:

45000 x %22 = 9900 per year

9900/12=825 per month

Honorable Quinn with 6 children earns 613 200 naira per month. Calculate:
a. tax allowance
b. taxable income
c. amount of tax paid
d. income after tax is paid

Answers

I would say B or D is the right answers.

All of the following are equivalent to 1.75 except _____. 14/8, 1 75/100, 1 3/4, 4/7

Answers

4/7 is not equivalent to 1.75 because 4/7 is less than 1 and 1.75 is more than 1.

chosen at random from a bag comtaining 8 marbles: 4 blue 3 green and 1 red. define a probability distribution for this experiment on the sample space{B,G,R}

Answers

Answer:

1/2, 3/8, 1/8

Step-by-step explanation:

the radio of giving blue marbles is 4/8=1/2

the radio of giving green marbles is 3/8

the radio of giving red marbles is 1/8

Answer:

the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.

Step-by-step explanation:

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.

A.
40 feet

B.
80 feet

C.
117 feet

D.
160 feet

Answers

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Joe has 7/8 yards of string. What is the maximum number of 1/16 yards of string Joe can be cut from the string? 11 points

Answers

Answer:

14

Step-by-step explanation:

7/8 = 14/16

What is the sum of the following equation: (9+5)*43x(23,550-32)*655

Answers

Answer:

1,012,632....I'm sure that's is answer

Solve for x.
X=
x +19 7x +9

Answers

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =

Answers

Answer:

4h - 29

Step-by-step explanation:

[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]

You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)

Which statement BEST describes the graph of f(x - 6)?
A. The graph of f(x) is shifted up 6 units.
6
B. The graph of f(x) is shifted left 6 units.
C. The graph of f(x) is shifted right 6 units.
D. The graph of f(x) is shifted down 6 units.

Answers

Answer:

B. f(x) is shifted left by 6 units

Step-by-step explanation:

when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis

ways to remember this is:

 -you count up x the RIGHT way going right

 -you count UP y

and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down

ALSO NOTE: x always goes horizontally and y always goes vertically

A cube has a surface area of 96 square inches. If 16 cubes are combined to make a rectangular prism, what is the volume of the rectangular prism?

Answers

Answer:

1536

Step-by-step explanation:

She would also like to tour genoa as well, which would cost her €60.85. if the conversion rate of us dollars to euros at the time of kari’s visit is 1:0.6859, how will this affect her budget? round all dollar values to the nearest cent. a. kari can see genoa and have $60.33 left in her budget. b. kari can see genoa and have $41.38 left in her budget. c. kari has almost exactly enough left in her budget to see genoa. d. kari cannot afford to see genoa, because it would put her $84.48 over budget.

Answers

The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.

How to illustrate the budget?

From the information given, it should be noted that a trip to Genoa will cost her €60.85.

This will be converted to dollars which will be:

= 60.85/0.6859

= 88.72

Therefore, out of the $585 budget, only $88.72 is used.

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Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)

Answers

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

Keisha has two dogs. The larger dog weighs 1.2 pounds more than the smaller dog. The combined weight of the two dogs is 13.6 pounds. What is the weight, in pounds, of the smaller dog?

Answers

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.

What is the area of triangle ABC?
C
12
60°
60°
A
D
B

Answers

Answer:

Area of the triangle is 36√3

Step-by-step explanation:    Hope this will help

The hypotenuse of each 30 - 60 - 90 triangle is 12

The base length is  6 + 6 =  12 because the triangle is equilateral and the

altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.    

Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.

Finding DC .

a² + b² = c²

6² + b² = 12²       0r  the long leg = short leg times √3

36 + b² = 144                                       6√3

   b² = 108

    b = 6√3

Area of a triangle = 1/2bh

                             = 1/2(12)(6√3)

                             = 6(6√3) = 36√3  

Solve: 4+1.8x = 8 (1+0.1x)
A. There are infinitely many solutions.
B. x = -3
C. x = -4
D. x = 4

Answers

[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]

the answer is x = 4.

Solve -2x + 7 < -41 how do you solve this

Answers

Answer:

x>21

Step-by-step explanation:

-2x + 7 < -41  Subtract 7 from both sides

-2x<-48 Divide by negative 2

x>21   When you divide by a negative you have to flip the sign

Answer:

x<28

Step-by-step explanation:

-2x+7<-41

-2x<-48      subtract 7 from both sides

x>24         divide by -2 to both sides

For this problem, a non-integer answer should be entered as a fraction in simplest form using / as the fraction bar. malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?

Answers

Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.

What is the probability that Malik's number are less than 5 when added?

The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.

In order for the two number to be less than 5 when added, the numbers to be picked have to be:

1 and 21 and 33 and 11 and 1

These are 4 possibilities out of a total of 18 possibilities so the probability is:

= 4 / 18

= 2 / 9

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Answer:

See image

Step-by-step explanation:

Plato


Translate the following sentence into an equation: "Seven added to eight times a number is three less than
twice the number."
?

Answers

[tex]let\ x\ be\ the\ unknown\ number[/tex]

[tex]8x+7=2x-3[/tex]

first choose a variable to represent the number.

when something is "..." times a number, we are multiplying that number by that value.

"seven added to eight times a number" means that we are multiplying the number by eight (8x) and then adding seven to it (+7).

"is" usually means 'equals to' so we put an equal sign there.

"three less than twice the number" means that we are multiplying the number by two (2x) and then subtracting three from it (-3).

An equation form of given statement is,  7 + 8m = 3 - 2m where m is any real valued number.

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given a statement.

We need to translate given statement into a equation.

Seven added to eight times a number is three less than twice the number.

Let 'm' be any real number.

We can rewrite above statement as,

     Seven plus to eight times 'm' is three minus twice 'm'.

⇒       7        +             8 × m           =        3      -         2 × m

So, we get an equation,

⇒ 7 + 8m = 3 - 2m

Therefore, an equation form of given statement is,  7 + 8m = 3 - 2m where m is any real valued number.

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6 cm
6 cm
What is the area?

Answers

Answer:

= 18 [tex]cm^{2}[/tex]

Step-by-step explanation:

As the triangle is right angled:

formula  

       = [tex]\frac{1}{2}[/tex] base x height

         = [tex]\frac{1}{2}[/tex] 6 x 6

         =[tex]\frac{1}{2}[/tex] x 36

         =[tex]\frac{36}{2}[/tex]

           = 18 [tex]cm^{2}[/tex]

Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 3 meters and the diameter of the base is 6 meters. The volume of the cone is about a cubic meters.

Answers

Answer:

The answer to this question should be 28.3

QUESTION 1 [10] The accompanying diagram shows the graph of f(x) = a* B 1.1. Write down the coordinate of A; explain. 1.2. How can we tell that: 0 < a < 1? 1.3. Determine a if B is the point (4;). (3) (2) 1.4. Determine the equation of the graph obtained if the graph above is reflected about the y-axis 1.5. Write down the coordinates of the point of intersection of the two graphs. (2 (2) (1)

Answers

The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x

How to interpret Graph Functions?

The equation of the accompanying graph is;

f(x) = aˣ

1) We want to write the coordinate of A. Thus;

f(0) = a⁰ = 1

Thus;

Coordinate of A = (0, 1)

2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.

3) If B is the point (4, ¹/₁₆), then;

f(4) = a⁴ = ¹/₁₆

a = ⁴√(¹/₁₆)

a = ¹/₂

4) The equation of the graph with B coordinate is;

y - ax

⇒ ¹/₂^(ˣ) - (¹/₂)x

5) To get the coordinates of the point of intersection of the two graphs is;

¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)

⇒ (¹/₂)x = 0

x = 0

Thus, the coordinate of the intersection is; (0, 0)

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Round to the nearest two decimal places

Answers

9.9^2 = 6.5^2 + b^2
98.01 = 42.25 + b^2
Sqrt of 55.76 = b
b = 7.46726
≈ 7.47
Hope this helps :)

Help ASAP NEED ANSWER NOW

Answers

Answer:

A.

Step-by-step explanation:

bc, it's high preasured. meaning its going 2b snowy.

Find the volume of the composite solid. Round your answer to the nearest tenth.

A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.

The volume is about
cubic feet.

Answers

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

formulas

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

composite volume

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

Find the greatest common factor of 12y4 and 7y3.

Answers

Answer:

24

Step-by-step explanation:

12*2=24

7*3=24

3*7=24

4*6=24

Hope this helps!

Other Questions
What is the area of a triangle if the height is 9 and base is 11? Read the following speech excerpt and then select the correct answer to the question below: President George W. Bushs speech to the troops on the USS Abraham Lincoln Our mission continues. Al-Qaida is wounded, not destroyed. The scattered cells of the terrorist network still operate in many nations, and we know from daily intelligence that they continue to plot against free people. The proliferation of deadly weapons remains a serious danger. The enemies of freedom are not idle, and neither are we. Our government has taken unprecedented measures to defend the homeland and we will continue to hunt down the enemy before he can strike. The war on terror is not over, yet it is not endless. We do not know the day of final victory, but we have seen the turning of the tide. No act of the terrorists will change our purpose, or weaken our resolve, or alter their fate. Their cause is lost. Free nations will press on to victory. Other nations in history have fought in foreign lands and remained to occupy and exploit. Americans, following a battle, want nothing more than to return home. And that is your direction tonight. After service in the Afghan and Iraqi theaters of war after 100,000 miles, on the longest carrier deployment in recent history you are homeward bound. Some of you will see new family members for the first time 150 babies were born while their fathers were on the Lincoln. Your families are proud of you, and your nation will welcome you.How does the sentence "Our mission continues" support the central idea of the speech? It supports the idea that service people returning home will be called back out quite soon. It supports the main point that this is an ongoing fight that America will not abandon. It challenges the notion that Al-Qaida is an enemy worthy of the human and financial cost of war. It adds to the idea that it is essential to remove any American military presence in other lands. A scientist records the number of weasels in this ecosystem every year for 30 years. Every year she notices that there are between 500 and 510 weasels. However, she notices that each year there are 100 new baby weasels. How would you describe the weasel population?(1 Point)IncreasingDecreasingChanging, because during this time some weasels have died and some have been born.Stable, because during this time a similar number of weasels have died as have been born. Rewrite the following equation in standard form.y = 5x 8 please help me on this This is an example of: geometric form organic form geometric shape organic shape A sample of argon (Ar) gas has a volume of 7.31 L at a pressure of735 mm Hg and a temperature of 45 C. Determine the volume inliters when the temperature changes to 55 C and the pressurechanges to 325 mm Hg. If you can improve your set of directions, what revisions can you make? What is the difference between these fractions?+3/4(+7/8) Anyone know the value of x for these I need help please. It will really help me What state of matter is it ? PLSS HELP ME WITH THIS 25 POINTS! How much does Janet make in 25 hours? The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. Today, government in the United States is most similar to the Because it is a We have now added Climate Change to the threats of biodiversity. What is climate change, and how does it affect biodiversity? Why would Europeans have a conflict with the Catholic Church come the 1500s? . True or False: A bystander intervention is the term used to define when an individual actively moves in and changes the outcome of a situation. I need some help answering this Elaine wants to create a program based on the following algorithm. What data types will she use for the variables?1. Start.2. Read number x from the user.3. Read list of ages age from the user.4. Display the age at the x position in the list age].5. Stop.to store variable x (for example 1, 4, 7), and she can useShe can use a[n)example 24, 53, 21).to store list age] (for