Each interior angle of a regular polygon is 140°.Find the number of sides of the polygon.

Answers

Answer 1

Answer :

9 sides

Explanation:

Step 1

Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Step 2

Method 2: Since the exterior angle is 140°

The sum of the interior angles = (2n - 4) × right angles.

So 140n =(2n - 4) ×right angles, or we can also say

140n =(2n - 4) × 90

140n = 180n - 360

40n = 360

Divide both sides of the equation by 40

n = 9 sides.

n = 9 sides.Hence the number of sides is 9 sides.


Related Questions

If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?
Answer
How to enter your answer
adults

Answers

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

The factory makes 400 cars per day if the workday is eight hours long what is the hourly rate at which cars

Answers

Answer:

50

Step-by-step explanation:

Answer: The answer it’s 50. You need to divided the amount of cars and the hours. Therefore you’ll need to divide 400 and 8 which will then give you 50.

An experiment is broken up into two parts. In the first part of the experiment, a six-sided die is rolled. In the second part of the experiment, a dime is tossed in the air. What is the probability of landing on tails?

Answers

Answer:

The answer is %50.

Step-by-step explanation:

Since the rolling of the six-sided die and the tossing of the dime are seperate events, their probabilities do not affect each other. Therefore the probability of the dime landing on tails should be %50.

I hope this answer helps.

So I have another trigonometry question PLZ HELP ME I'm clueless at this rate I have like a little idea but I'm lost, SO PLZZZ! I NEED IT BY JUNE 4

1. Lifeguard stands on a beach are approximately 300 ft apart. They are at 30-degree angles to a windsurfer on the water in between them. How far away is the windsurfer from each tower. Draw a diagram to help you picture the situation.


2. If the Earth is approximately 93 million miles from the sun, and Mercury is about 36 million miles from the sun, what are the possible distances between Earth and Mercury on a certain day if the angle between the sun and mercury is 22 degrees as measured from Earth?

Answers

Answer:

1) The windsurfer is approximately 580 ft from each lifeguard stand.

2) The distance between the Earth and Mercury is approximately 61 million miles.

Step-by-step explanation:

The image other two situations described is presented in the attached image to this answer.

1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.

Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.

Let the required distance of the windsurfer from each of the lifeguard stands be x.

Using trigonometric relations,

Sin 15° = (150/x)

x = 150 ÷ sin 15° = 150 ÷ 0.2588

x = 579.6 ft = 580 ft to the nearest whole number

2) From the image, the Sun, Earth and Mercury form a triangle.

Let the possible distance between the Earth and Mercury be y.

Using cosine rule,

y² = 36² + 93² - (2×36×93×cos 22°)

y² = 3,736.5769098208

y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.

Hope this Helps!!!

I’ll give brainliest

Answers

Answer:

[tex]y = 7x - 5[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} (2y + 10) = 7x \\ \frac{2y}{2} + \frac{10}{2} = 7x \\ y + 5 = 7x \\ y = 7x - 5[/tex]

Jada is visiting New York City to see the Empire State building. She is 100 feet away when she spots it. To see the top, she has to look up at an angle of 86.1 degrees. How tall is the Empire State building?

Answers

The height of the Empire State building is 1466.85 ft

Important information:She is 100 feet away when she spots it. To see the top, she has to look up at an angle of 86.1 degrees.

calculation:

[tex]= (sin(86.10) \times 100 ) \div (sin(3.90))[/tex]

= 1466.85 ft.

where,

3.90 represent the angle of the top to Jada

Learn more about the building here: https://brainly.com/question/21436068

The graph below represents which system of inequalities? (2 points)

graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and i

y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3 x − 2
y ≥ 2x + 2
None of the above

Answers

Answer:

Step-by-step explanation:

none of the above

Answer the question
If you're right I'll MARK YOU BRAINLIEST!!

Answers

Answer:

[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex] is found by first, siplifying the radicals in the parenthesis. [tex]\sqrt{8x^{2} }[/tex] can be simplified as [tex]2x\sqrt{2}[/tex] and [tex]-2\sqrt{x}[/tex] stays the same. Now we have to multiply these two by [tex]\sqrt{5x}[/tex] which then results in [tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]

Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply. On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5). On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4). On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1). On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5). On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).

Answers

Question:

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

Answer:

The correctly rotated red triangles are those of (1), (2), and (5)

Step-by-step explanation:

In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;

(x, y) to (-y, x)

Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

(-1, 4) → (-4, -1)

(-5, 4) → (-4, -5)

(-1, 1) → (-1, -1)

Correctly rotated 90° counterclockwise

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

(1, 1) → (-1, 1)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

(0, 1) → (0, 1) ≠ (-1, 0)

(4, 4) → (-4, 4)

(4, 1) → (-4, 1)

Not correctly rotated 90° counterclockwise

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

(-5, 4) → (4, 5) ≠ (-4, -5)

(-1, 4) → (4, 1)

(-1, 1) → (1, 1)

Not correctly rotated 90° counterclockwise

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

(-2, 5) → (-5, -2)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise.

Answer:

1,2,5

Step-by-step explanation:

Andrew has three gift boxes with different volumes. He wants to label them
Large, Medium, and Small based on their volumes. Write the appropriate label,
Large, Medium, or Small, under each of the boxes.
(not drawn to scale)
6 ft
331
147
41
334
3
12 ft

Answers

You do not have enough information. ex. What does "41" mean? Is it in feet? Inches? Angstroms? Please provide more information.

Answer:

pretty sure it's large, small, medium

Step-by-step explanation:

Diana has 1 square yard of fabric she will make one pillow that requires 3/8 square yard of fabric and another pillow that requires 2/8 square yard of fabric Diana uses the equations shown below to explain her process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left

Answers

Answer:

Diana uses 5/8 square yard of fabric for both pillows.There remains 3/8 square yard of fabric.

Step-by-step explanation:

Givens

The total amount of fabric is 1 square yard.One pillow requires 3/8 square yard of fabric.A second pillow requires 2/8 square yard of fabric.

To find the total amount of fabric Diana used, we must sum those fractions

[tex]\frac{3}{8} +\frac{2}{8}=\frac{5}{8}[/tex]

Diana uses 5/8 square yard of fabric for both pillows.

Now, we subtract to find the remaining amount of fabric

[tex]1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}[/tex]

Therefore, there remains 3/8 square yard of fabric.

Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens!
Each time Miranda goes to the store she plans to spend \$7dollar sign, 7, and each time Savannah goes to the store she plans to spend \$9 dollar sign, 9.
A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
What is the least possible number of times that Miranda has been to the store?

Answers

Answer:

9

Step-by-step explanation:

Given that

Spending done by Miranda each time while go to the store = $7

Spending done by Savannah each time while go to the store = $9

For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63

Now the lease possible number for Miranda has been to the store is

[tex]= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}[/tex]

[tex]= \frac{\$63}{\$7}[/tex]

= 9

Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be [tex]= 3\times 3[/tex]

Therefore the 9 times would be considered

what is f (5)
need help asap

Answers

Answer:

f(5) = -7

Step-by-step explanation:

f(5) means that x=5 so what you have to do if count +5 along the x axis and then count downward along the y axis until you touch the line. In this case, you count 7 down which is -7

What is the sum of 5

Answers

Step-by-step explanation:

the sum of 5 and with a number is X+5 if that what you were trying to say

solve for a side in right triangles

Answers

Answer:

AB = 4.73

Step-by-step explanation:

What is the value below when c=5 and d=4?

6c2 – 5d + 8

Answers

Answer:

48

Step-by-step explanation:

(6×5×2)-(5×4)+8

=60-20+8

=48

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

Answers

Answer: that the variable can be any number.

Step-by-step explanation:

So we have a linear equation and we end with a relation of the way:

x = x

an example can be if we have:

2*x + 4 = 2*(x + 2)

if you solve that, you will end with a relationship x = x

this means that any value of x will made that equality true.

so x can be any number.

Answer:

D trust the process

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.

Answers

Y=1/2x+ -3 I hope this helps

Tim installs 45 square feet in 50 minututes at this rate how long does it take him to install 495 square feet

Answers

Answer:

99.5

Step-by-step explanation:

the hawks have won 12 games this season, which is 60% of the season how many games did they play

Answers

Answer:

20 games

Step-by-step explanation:

Pushpin, a social networking site, sent out a survey to all female users. One of the questions in 2014 was, "Do you cook dinner every day?" More than 35,000 women responded, with 38% responding yes. What can you conclude from the survey?

Answers

Answer:

We can conclude that of the women who responded to the survey, most of them stated that they do not cook dinner every day. However, it is important to note that there is not much more to be concluded because there are a lot of factors that can go into this. For example, to push feminist perspectives, women may lie about them cooking or be more inclined to respond to the survey (voluntary response bias). Furthermore, women who cook may be less likely to be on the site

Answer:

Undercoverage occurred, so the results tell us little about the population of all adults.

Explanation:

This was targeted to social networking site females, this excludes the population of females who do not use social networking or are unable to. Hope this helps

work out...
-10 + -11
.

Answers

+ and a - makes a -
-10-11=-21
-10+-11=-21 is the answer

How many terms are in the expression shown below?


a2 - ab + 8b + b2 - 1

Answers

Answer:

There are 4 terms when simplified. :)

Step-by-step explanation:

Add like terms.

a2-ab+10b-1

8b+2b=10b

If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explain.

Answers

Answer: 51.54 ft

Step-by-step explanation:

The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:

50ft/4 = 12.5ft.

Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:

H = √(12.5^2 + 50^2) = 51.54 feet.

Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.

Reduce to simplest form. -9/12 - (-7/4)=

Answers

Answer:

answer is 1

Step-by-step explanation:

[tex]-\frac{9}{12} - (-\frac{7}{4}) = -\frac{3}{4} - (-\frac{7}{4})\\=\frac{4}{4} = 1[/tex]

Brainliest question Please help me now plz

Answers

Side a = 10.98991
Side b = 11.69522
Side c = 4

Angle ∠A = 70° = 1.22173 rad = 7/18π
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 20° = 0.34907 rad = π/9


step by step plz
2x^2 + x - 3

Answers

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

What is the base of a triangle with area 50 squared inches and height 3/4 inches to the nearest hundredth?

Answers

Answer:

66 2/3 inches

Step-by-step explanation:

The area formula needed here is A = (1/2)(base)(height).

Here A = 50 in^2 and (height) = 3/4 in.  We must find the length of the base.

Multiplying both sides of A = (1/2)(base)(height) by 2, we get 2A = (base)(height), or

                 2A                 50 in^2

(base) = --------------  =  ----------------- =  66 2/3 inches

               (height)            0.75 in

Can you please help me with this question please and i will give you a Brainiest

Answers

Answer:

Its the book. Hope it helps.

stapeler probably that would be my guess try it remember 1 kilo is two pounds

Click on all the values for n that make this inequality true

Answers

You didn’t insert any photo?
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