If the smallest angle of rotation for a regular polygon is 18, how many sides does polygon have?
10
12
20
24

Answers

Answer 1

Answer: There are 20 sides of a given regular polygon.

Step-by-step explanation:

To calculate the sides of a regular polygon, we use the equation:

[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]

We are given:

Smallest angle of rotation = [tex]18^o[/tex]

Putting values in above equation, we get:

[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]

Hence, there are 20 sides of a given regular polygon.

Answer 2

Answer:

20

Step-by-step explanation:

edg did the test


Related Questions

A container in the shape of this cuboid holds 2 litres of water.
The container has a square base.
Its height is double the length of each edge on its base.
Work out the height of the container, in cm.

Answers

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

[tex]h=2x[/tex]

The volume of a cuboid is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get

[tex]2000=x\times x\times 2x[/tex]

[tex]2000=2x^3[/tex]

Divide both sides by 2.

[tex]1000=x^3[/tex]

Taking cube root on both sides.

[tex]\sqrt[3]{1000}=x[/tex]

[tex]10=x[/tex]

Now, the height of the container is:

[tex]h=2x[/tex]

[tex]h=2(10)[/tex]

[tex]h=20[/tex]

Therefore, the height of the container is 20 cm.

6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?​

Answers

Answer:

Step-by-step explanation:

Its 43567 bc I searched it up

A= P(1+rt)
A= 27 and t=3 solve for r.

Answers

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

Need answer ASAP!!!!

Answers

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.​

Answers

Answer:

(105 | 35)

the x-component (how much to the side) is left, the y-component right (how high)

The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

What is a graph?

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

The graph shows the time in x-axis and cost in y-axis.

Ordered pairs are often used to represent two variables.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.

Thus the point of intersection is x at 110 and y at 35.

⇒ [tex](x,y)=(110,35)[/tex]

Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

Learn more about graphs here

https://brainly.com/question/7563606

#SPJ2

Please help me find the volume

Answers

Check the picture below.

so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.

[tex]\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}[/tex]

[tex]\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill[/tex]

I need help!!!! :))))

Answers

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

Find the measure of arc CEB

Answers

Answer:

Step-by-step explanation:

Arc CAB through E is just the sum of the 3 minor arcs you are given

Arc CEB = 53 + 79 + 68

Arc CEB = 200

A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.

Answers

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45

Answers

It increased by 50%. The original amount was 30 and it went up 15. Half of 30 is 15 so to go up 15 we increased the original amount by 50%

What is the value of x?
85°
92°
53°

Answers

Answer:

x = 46

Step-by-step explanation:

Vertical angles are equal so call the angle y

85+53 +y =y+ 92+x

Subtract y from each side

85+53  = 92+x

Combine like terms

138 = 92+x

Subtract 92 from each side

138 -92 = 92+x-92

46 =x

Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?

Answers

Answer:

hope this helps

Step-by-step explanation:

-they do not have the same slope

-their lines are not parallel

there's probably more but i cant quite think of it as of now

(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.

Answers

Answer:

Step-by-step explanation:

commission amount = 4 % of Rs 65000

=4/100 * 65000

=260000/100

=2600

therefore commision amount is Rs 2600

SP od an article = Rs 2700

profit %=8%

let CP be x

SP=CP + profit% of CP

2700=x + 8/100 *x

2700=100x + 8x/100

2700*100 = 108x

270000=108x

270000/108=x

2500=x

therefore cost price (CP) of an article is Rs 2500.

Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Find the 87th term of the arithmetic sequence 12, 0, -12

Answers

Answer:

a(87) = -590

Step-by-step explanation:

Notice how each term of this arithmetic sequence is equal to the sum of the previous term and the common difference, -12.

The general formula a(n) = a(1) + (n - 1)d becomes:

                                    a(n) = 12 - 7(n - 1)

and the 87th term        a(87) = 12 - 7(87 - 1), or

                                      a(87) = 12 - 7(86)

                                       a(87) = -590

what is 55 degrees in radian measure as a multiple of pi

Answers

To change degrees to radian we have to use a rule :

Rad=degree/180/π

Rad = 55/180/π

Final answer:

Rad= (11/36)π [this answer is In pi]

Rad= 0.96 [this answers is the simplified version]

Who was the first president of Nigeria​

Answers

Answer:

Nnamdi Azikiwe

Step-by-step explanation:

he was the first one

If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?

(A) 0
(B) 2
(C) 3
(D) 4
(E) 7

Answers

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

Simplify using the multiplication rule.

Answers

A. the first one is the answer

Step-by-step explanation:

[tex]\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2} \sqrt{6x}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{4x {y}^{3} } \sqrt{6y} [/tex]

[tex] = \sqrt{4 \times 6 \: x \: {y}^{(3 + 1)} } [/tex]

[tex] = \sqrt{( {2})^{2} \times 6 \: x \: {y}^{4} } [/tex]

[tex] = \sqrt{( {2})^{2} \times 6 \: x \: { ({y}^{2} })^{2} } [/tex]

[tex] = 2 {y}^{2} \sqrt{6x} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}

Answers

Given:

The different functions in the form of set of ordered pairs.

To find:

The function which has an inverse that is also a function.

Solution:

A relation is a function if there exists unique y-value for each x-value.

We know that the inverse transformation is defined as:

[tex](x,y)\to (y,x)[/tex]

So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.

In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.

In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.

In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.

In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.

Therefore, the correct option is A.

Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?

2/5
1/48
4/5
1/3

Answers

Answer:

2/5

hope it helps

Thank you

20% deposit
5 years to pay
Monthly instalment
R6475,00
how much will he pay after 5 years?

Answers

Answer:

R12,950.00

Step-by-step explanation:

We solve using the formula

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year.

Solving our equation:

A = 6475(1 + (0.2 × 5)) = 12950

A = R12,950.00

Therefore, the amount he will pay after 5 years is R12,950.00

URGENT! What are the residuals for the scatter plot. Thank you!

Answers

Answer:

demos & mathaway

Step-by-step explanation:

I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.

Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME

Answers

Answer:

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Step-by-step explanation:

Given expression is (15 - √105).

Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]

Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,

15 - [tex]\sqrt{105}[/tex] = Slightly less than 5

From the given options answer will be,

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Which data value has the highest frequency?

Answers

Answer:

33

Step-by-step explanation:

most dots above that point

write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm​

Answers

Answer:

{1,4,9,16,25,36,49,64,81,100}

The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?

Answers

Answer:

+9

Step-by-step explanation:

+9-9=0

The Correct answer to your question is 0!!

10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file​

Answers

x = 5 and y = 3. That is the answer

Which is an equivalent form of the expression 1800(1.2)–t?

Answers

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)–t

2160 - t

The box-and-whisker plot below represents the number of cars in the airport parking lots. Is there more variability in the number of cars below 120 or above 230? Choose the correct answer and explanation.

Answers

Answer:

report me I want deleted:)

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