The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?

The Diagram Shows Part Of A Regular Polygon. The Sides Of This Polygon Subtend Angles Of 20 At The Centre

Answers

Answer 1

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

Answer 2

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]

Therefore, the given polygon will have 18 sides in total.

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Related Questions

Multiply.
11 x 2 =
Submit
Is it 22

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes...yes it is.

Step-by-step explanation:

Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.

Suck at maths! HELP!

Answers

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

A=50
Explanation as it is an isosceles triangle it ads up to 180
65+65=130
180-130=50

Find the x-intercept for the line represented by this equation 7x=2y-3 A. (-3/7,0) B.(0,-3/7) C.(3/2,0) D.(0,3/2)

Answers

Answer:

(-3/7, 0)

Step-by-step explanation:

7x=2y-3

To find the x intercept, set y = 0 and solve for x

7x = 0-3

7x = -3

Divide each side by 7

7x/7 = -3/7

x = -3/7

The x intercept is

(-3/7, 0)

Answer: A

Step-by-step explanation:

For the x-intercept, we know y=0. We can eliminate B and D.

We know either A or C is the correct answer. This line is linear so there should be only one x-intercept. We can solve this equation to see which is correct. Let's plug in A and C into the equation to see which is right.

A. Correct

[tex]7(-\frac{3}{7} )=2(0)-3[/tex]

[tex]-3=-3[/tex]

C. Incorrect

[tex]7(\frac{3}{2} )=2(0)-3[/tex]

[tex]\frac{21}{2}\neq -3[/tex]

What is the volume of this rectangular prism?

Please help I need the answer fast

Answers

Answer:

24.5 cubic centimeters

Step-by-step explanation:

The volume of a rectangular prism is the width multiplied by the length and then height. In this case, this means that the volume is:

[tex]\dfrac{7}{2}\cdot 5 \cdot \dfrac{7}{5}=24.5[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

V=7/5*5*7/2=49/2=24.5 cm^3

80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?

Answers

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

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Help me please this is due today help me

Answers

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

I do not understand this math.

Answers

BRUHHHHHHHHHHHHHHHHHGGGGG
Probably 11.25 I don’t know I think it’s wrong.‍♀️

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)

Answers

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Find the area of the shaded region. Can I have the steps explained please?

Answers

Answer:

76.3 cm²

Step-by-step explanation:

step 1

area of circle= πr²= 3.14*5²= 78.6 cm²

step 2

area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²

step 3

Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²

step 4

Area of circle - area of sector + area of triangle=  78.6 - 13.1 + 10.8= 76.3 cm²

Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]

Answers

Answer: [tex]\frac{5x-29}{6}[/tex]

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]

Please Help I'll Give 20 Points! Which expressions are equivalent? A) 1/5k - 2/3j And -2/3j + 1/5k B) 1/5k- 2/3j And -1/5k + 2/3j C) 1/5k- 2/3j And 1/5j- 2/3k D) 1/5k- 2/3j And 2/3j- 1/5k

Answers

Answer:

a

Step-by-step explanation:

Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)

Answers

Answer:

k=27y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

3k=814k=1085k=135

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

Yesterday, Pete had 14 shirts. Today, he donated n shirts. Using n, write
an expression for the number of shirts Pete has left.

Answers

Answer:

14 - n.

Step-by-step explanation:

If he donated 'n' shirts, we can simply subtract 'n' from his initial amount of shirts, which is stated as '14'. Therefore:

'14 - n' is an expression that can represent how many shirts are remaining after he donated them.

Please help with this question thank you!

Answers

Minimum 31 maximum 74 mean 56.3 median 52 range 43

Find the least number which must be subtracted from 3255 so as to get a perfect square. PLS ANSWER I NEED IT PLS.....................

Answers

Answer:

Step-by-step explanation:

to make 3255 a perfect square subtract 6 from 3255

3255 - 6 = 3249

3249 is a perfect square

If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

Answers

Answer:

5

Step-by-step explanation:

To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Please answer the following:

Answers

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

Please help ASAP! Correct answer only! I need to finish this assignment today.
There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

  0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

  60/126 ≈ 0.4762

__

nCk = n!/(k!(n-k)!)

How are the equations of a parabola, ellipse, and hyperbola created?

Answers

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

factorise 32 x cube minus 8 y square​

Answers

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

How many inches are in a square foot?

Answers

Answer:

144 inches.

Step-by-step explanation:

One foot = 12 inches

One square foot = 144 inches.

Answer:

144

Step-by-step explanation:

Foot=12 inch

Square foot= foot times foot

Square foot= 12 inch times 12 inch

Square foot= 144 square inch.

In RST, the measure of

Answers

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3

Answers

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

So I really needed help with these 2 questions. What would be the first step to solve an equation with unequal bases? Explain the logarithmic properties?

Answers

Answer:

In order to solve these equations we must know logarithms and how to use them with exponentiation. We can access variables within an exponent in exponential equations with different bases by using logarithms and the power rule of logarithms to get rid of the base and have just the exponent.

like exponents, logarithms have properties that allow you to simplify logarithms when their inputs are a product, a quotient, or a value taken to a power. The properties of exponents and the properties of logarithms have similar forms.

Step-by-step explanation:

Mark me as Brainliest

could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2


question 2: evaluate: -ab-a if a=-4 and b =-5​

Answers

Answer:

1. b

2. -16

Step-by-step explanation:

1. -1+2 is equal to 1 so it works

You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.

2. -(-4)(-5) is -20

-(-4) is = 4

-20+4 is -16

Help pls! I ended up getting the wrong answer, so an explanation would help! (:

Answers

Answer:

4p squared - 28pq

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Apply the distributive property.
4
p

p
+
4
p
(

7
q
)
4
p

p
+
4
p
(
-
7
q
)
Multiply
p
p
by
p
p
by adding the exponents.
Tap for more steps...
4
p
2
+
4
p
(

7
q
)
4
p
2
+
4
p
(
-
7
q
)
Rewrite using the commutative property of multiplication.
4
p
2
+
4


7
(
p
q
)
4
p
2
+
4

-
7
(
p
q
)
Multiply
4
4
by

7
-
7
.
4
p
2

28
p
q

The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?

Answers

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

Divide 21a^3-14a by -7

Answers

Answer:

A

Step-by-step explanation:

[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]

Hope this helps!

Write your question here (Keep it simple and clear to get the best answer)if use the spinner 200 times how many pink colour would you get if it has 0.2

Answers

Answer: 40 times.

Step-by-step explanation:

If the probability in a sigle spin of getting the colour pink is p = 0.2

This means that in 0.2*100%  = 20% of the spins we should see the colour pink.

Then, out of 200 spins, the 20% of 200 is

(20%/100%)*200 = 0.2*200 = 40

This means that out of 200 spins, in around 40 of them we will se the colour pink.

Subtract the equations 5x+4y= 25 -(5x+2y=3)

Answers

If you subtract you will get 2y=22. The x’s cancel out. Divide both sides by 2 and you get y=11.
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