Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?

Answers

Answer 1

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer 2

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.


Related Questions

Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is

Answers

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

Frank is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.​

Answers

im pretty sure that the answer is 6 2/3

altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40

Answers

Answer the question : I don't get what the question is suppose to be

Step-by-step explanation:

A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.

The total area of the glass surface is _ square inches

Answers

answer: 288 sq in
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

PLEASE HELP ASAP!!

What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3

Answers

The correct answer is C

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32

Answers

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

I need help with this math question: 15x+ 60 < 240

Answers

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

Find the nth term of the quadratic sequence

Answers

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD

Answers

I DONT KNOW THIS IS SO HARD:(((

Answer: DH and HF correspond.

the corresponding side length of two similar polygons are 6cm and 15cm if the area of smaller polygon is 32cm^2 then what is the area of the larger triangle?​

Answers

The answer is 2/4 because you subtract because

Does anyone know the Answer for this

Answers

y= -6, hope this helps

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

HELPPP! Which answer.
A: It shows a positive correlation
B: It shows a negative correlation
C: It shows no correlation
D: As fouls increase, points decrease

Answers

Answer:

most likely C

Step-by-step explanation:

the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation

What is the sum of 3/10 and 1/3

Answers

Answer:

19/30

Step-by-step explanation:

3/10 + 1/3

Get a common denominator of 30

3/10 * 3/3   + 1/3 * 10/10

9/30  + 10/30

19/30

Answer:

19 / 13

Step-by-step explanation:

➟ 3 / 10 + 1 / 3

➟ 3 / 10 × 3/3 + 1 /3 × 10 /10

➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10

➟ 9 / 30 + 10 / 30

➟ 9 + 10 / 30

➟ 19 / 30

Which undefined term is used to define an angle?

line
plane
point
ray

Answers

The answer is point.

The undefined term is point.

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

[tex]vertex[/tex]of the angle

[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.

Measure of an angle

An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.

As, the is defined on the basis of arms , vertices, measurement.

They all related to point and point doesn't have a particular definition.

Learn more about angle here:

https://brainly.com/question/13954458

#SPJ2

identify one solution for this graph

Answers

(0,0), (1,1)
Basically, any point that is shaded.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not
8
7
6
15
4
1
3
2
1
-10-9
-7
-6
-5 -4
-3
-2 -1
1
2
3
4
5
6
28
9
10
-1
-2
-3
-4
17
-5
-6

Answers

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

The Thompson’s went out to eat at the Cheesecake Factory. If their bill was $68.65 and they gave their server a 15% tip, how much did they pay altogether?

Answers

Answer:

$78.94

Step-by-step explanation:

15% = 0.15

multiply to the total (68.65)

0.15 × 68.65 = 10.2975

$68.65 + 10.2975 = $78.94

MARK ME AS THE BRAINLIEST ANSWER PLEASE ❤️

how do you do this?

Answers

Answer:

by increasing the size ez

+3x-4x what is the answer for this equation

Answers

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?

Answers

Answer:

15

Step-by-step explanation:

Number of packets shipped out = total weight of electrical supplies / weight of  individual packets

[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]

to solve convert the mixed fractions to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]

[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15

Write as an equation in two variables: k(x) = -4x-1

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3

Answers

Answer:

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

Step-by-step explanation:

[tex]f(x)=x^5-3x^3[/tex]

[tex]0=x^5-3x^3[/tex]

[tex]x^5-3x^3=0[/tex]

[tex]x^3(x^2-3)=0[/tex]

[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

See the graph for a visual of the x-intercepts.

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators

Answers

Step-by-step explanation:

answer is in the image above

Solve 16x + 8 ≥ 12x + 20

Answers

Answer:

x ≥ 4

Step-by-step explanation:

16x + 8 ≥ 12x + 20

Subtract 12 from both sides

4x + 8 ≥ 20

Subtract 8 from both sides

4x ≥ 16

Divide both sides by 4

x ≥ 4

Solve for u.
U/-1 +-4=-1
U =

Answers

Answer:

U = -3

Step-by-step explanation:

U/-1 +-4=-1

Add 4 to each side

U/-1 +-4+4=-1+4

U / -1 = 3

Multiply each side by -1

U / -1  * -1 = 3* -1

U = -3

How many questions were on Victoria test

Answers

25!

(80/100)*x=20
x=25

100% Verified

Hope this helps! :)

Which of the following is equivalent to 5sqrt 13^3

Answers

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *

Answers

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Other Questions
Ashley's mother is concerned as Ashley has become increasingly reclusive and prefers not to interact with anyone. She rarely shows any expression or emotion and remains cheerless all the time. Her mother is alarmed when she expresses a desire to live alone for the rest of her life. Ashley is most likely to be diagnosed with _____ personality disorder. Please help me I will give you 16 points I dont know what that do but I will With your bare feet, stand with one foot on a rug, and the other foot on a tile, linoleum, or wood floor. Which one feels colder? Which one is really colder? Explain what is going on in a paragraph Pls help math coordinates of pt P 19. Dweck believes that children who receive feedback praising their efforts at formulating effective solutions after their successes will generally adopt _____ in achievement contexts. A subsequent failure should cause these youngsters to _____. what is the meaning of God What happens to a population when immigration increases?A. The population size usually increases.B. The emigration rate usually increases.O C. The emigration rate usually decreases.O D. The population size usually decreases. The master budget includes individual budgets for sales, production or merchandise purchases, various expenses, capital expenditures, and cash.A. TrueB. False i need help with my homework Determine whether the triangles are similar. If so, write a similaritystatement. What is the percent composition of phosphorus in the compound P3CI8 Which province/territory has the highest population density? Why do you think this is so? Can someone help me with this? im struggling urgent help please!!!! Previous1Next The Death of Ivan Ilyich, Chapters 1-4: Mastery TestSubmit TestTools1Select the correct text in the passage.Which sentence in this excerpt from Leo Tolstoy's The Death of Ivan Ilyich suggests that Ivan Ilyich aspired to be part of the elite in society from ayoung age?Ivan Ilyich was le phenix de la famille as people sald. He was neither as cold and formal as his elder brother nor as wild as the younger, but wasa happy mean between them-an intelligent polished, lively and agreeable man. He had studied with his younger brother at the School of Law,but the latter had failed to complete the course and was expelled when he was in the fifth class. Ivan Ilyich finished the course well. Even whenhe was at the School of Law he was just what he remained for the rest of his life: a capable, cheerful, good-natured, and sociable man, thoughstrict in the fulfillment of what he considered to be his duty, and he considered his duty to be what was so considered by those in authority.Neither as a boy nor as a man was he a toady, but from early youth was by nature attracted to people of high station as a fly is drawn to thelight, assimilating their ways and views of life and establishing friendly relations with them. All the enthusiasms of childhood and youth passedwithout leaving much trace on him; he succumbed to sensuality, to vanity, and latterly among the highest classes to liberalism, but always withinlimits which his Instinct unfallingly indicated to him as correct.At school he had done things which had formerly seemed to him very horrid and made him feel disgusted with himself when he did them; butwhen later on he saw that such actions were done by people of good position and that they did not regard them as wrong, he was able notexactly to regard them as right, but to forget about them entirely or not be at all troubled at remembering them.ResetNext que hay en medio del sol y de la col Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer: Which is not true of friction? A. Causes wear and tear of the surfaces B. Helps us to fall easily on roads C. Produces heat D. Produces light E. Stops bodies when they move over each other. How many Carbon Atoms are there on the PRODUCT SIDE Another not so difficult one, Giving Brainliest and 35 points oml pls help with this question will mark branliest :)))