What is the sum of the interior angles for any polygon or how would you find it

Answers

Answer 1

Answer:

(n-2) x 180 degrees

Step-by-step explanation:

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where n is the number of sides. All the interior angles in a regular polygon are equal.


Related Questions

A sheet of pure aluminum loses heat. What will happen to the aluminum atoms?


A.

The atoms will solidify.


B.

The atoms will evaporate.


C.

Their motion will increase.


D.

Their motion will decrease

Answers

I think the answer is B

Find the area of the trapezoid using the formula using the A=1/2h(b1+b2)

Answers

Answer:

9

Step-by-step explanation:

1/2 bh (b1+b2)Count all the squares for the base (6 squares)Half it bc 1/2bh, which is not 3(h)Now count the amount of squares to the top of it from the bottom (3 as well)Now the problem is 3(3) which is 9.So, the answer is 9

Hope this helps! Comment on it if you need more explanation!:)

Answer: 9

Step-by-step explanation: beacuse it is

Two semicircles are used to make the shaded shape below. One semicircle has a diameter of 12 cm and the other has a diameter of 20 cm.

Answers

Answer:58.272

Step-by-step explanation: This is the answer for maths watch

The perimeter of the shaded shape is 58.29  cm.

Semi-Circles:It is half the circle.Its area is given by A = [tex]\frac{\pi r^2}{2}[/tex] .Its perimeter is given by, P = πr .

How to solve the given question?The shaded shape comprises two semi-circles with a diameter of 12cm and 20cm.So, the perimeter of the shaded shape = (perimeter of 12cm diameter semi-circle) + (perimeter of 20cm diameter semi-circle) + (difference of diameter)

                             [tex]P = \pi r_1 + \pi r_2 + (d_1 - d_2)\\P = (\pi \ \frac{20}{2} ) + (\pi \ \frac{12}{2} ) +(20 -12)\\P = \pi ( 10 + 6) +8\\P = 16\pi +8\\P = 58.29 \ cm[/tex]

Thus, the perimeter of the shaded shape is 58.29 cm.

Learn more about perimeter here:

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#SPJ2

what is 0.09 as a fraction

Answers

The answer is 9/100

As you can see, 9 is I. The hundredths place

Answer:

9100

Step-by-step explanation:

The second place after the decimal is called the "hundredths place". The question above asks for 0.09 . This would be 9 hundredths, or as a fraction 9100 .

PLEASE HELPPPP
WILL GIVE 15 POINTS

Answers

Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

PLEASE HELP WILL MARK BRAINLIEST The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE

Answers

Answer:

Let

Point 1 ----------> (5, 2)

Point 2 ----------> (–6, 2)

we know that

the distance between two points it is calculated with the formula

d=√[(y2-y1)²+(x2-x1)²]

then

d=√[(2-2)²+(-6-5)²]

d=√[(0)²+(-11)²]

d=√[121]

d=√121-----------> d=11 units

the answer is 11 units,

Also, The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

Answer: The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

please help please ill give brainliest best answer

Answers

The first step is to find the area of the figure amd then multiply it by the weight of per metre...

Step 1

Area of figure⤵️

[tex] \sf \: area = length \times width[/tex]

Length = 60 cm = 0.6 metreWidth = 200 cm = 2 metre

[tex] \bf \: area = 0.6 \times 2[/tex]

[tex] \bf \: area = 1.2 \: {m}^{2} [/tex]

Now,

Weight of 1 metre² = 0.9 kg

So, The weight of 1.2 m² is;

[tex] \tt \: 1.2 \:{m}^{2} = 1.2 \: kg[/tex]

The framework is made up of 5 rods, So the weight will be

1.2 × 5 = 6kg

Thus, The weight of theframework is 6 kilograms...~

the circle graph shows the restaurant's expenses. If the total expenses are 20,000 how much of that is spent on food PLS HELP I HAVE 15 PTS

Answers

Answer:

3,600

Step-by-step explanation:

i took the quiz

How many 4-digit personal identification numbers are possible if the number cannot contain a zero? a. 5,040 b. 6,561 c. 9,000 d. 10,000.

Answers

The count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex]  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the given case, there are 4 digit locks, each of them can be from {1,2,3,4,5,6,7,8,9}

So each one has 9 options to choose from.

Thus, using the rule of product, we get the total possible personal identification numbers  as: [tex]9 \times 9 \times 9 \times 9= 6561[/tex]

Thus, the count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

Learn more about rule of product here:

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Please help! 20 points thanks :)

Answers

The answer is D (5/4). We go up by 5 and to the side we go 4 in order to get between the points (0,8) and (-4,3). We know it’s rise over run. The rise is 5 because we go up by 5 and the run is 4 because we go to the side 4 times. By looking from left to right at the line, we see it’s a going to be positive. This means the answer is 5/4.
5/4 is the answer

Finding the rate of change on a graph is called Rise over Run

Count up 5 then over 4

6. Alima made bubble tea using milk, tea and pearls in the ratio of 4:3:1. If the total weight of the bubble tea made is 1560 g, find the weight of each ingredient used?​

Answers

Milk, tea and pearls in the ratio of 4:3:1 -> The milk = 4x, tea = 3x and pearls = x

So, 1560g is equal to 4x + 3x + x = 8x

x = 1560 / 8 = 195
3x = 195 x 3 = 585
4x = 195 x 4 = 780

So, she used 780g of milk, 585g of tea and 195g of pearls.

Answer:

Milk= 780g

Tea= 585g

Pearls= 195g

Step-by-step explanation:

So we know that all together there is 1560g. So what we do is add the ratio numbers together which is 4+3+1. This gives us 8. Next, what we can do is how much is 1 (ratio). So we do 1560g/8. This gives us 195g. Now the last step is to multiply 195g with each ratio number given. So milk is represented as 4. So therefore milk would be 4 multiplied by 195g. This means milk= 780g. Tea = 3 multiplied by 195g. Thus, this gives us 585g. The last one which is pearls is 195g as it is multiplied by 1. To check the answer, you can add the three numbers which are 780g+ 585g+195g= 1560g.

There are 6 lines. The 1st line has 9 people, 2nd line 11 people & 3rd line 13 people.
how many people are in the 6th line? How many people are in the lines in total?

use arithmetic series to find how many people in 6th line
use finite series to find how many people in total

Answers

Answer:

19!!!

Step-by-step explanation:

4th row-15 people

5th - 17

6th - 19

{the series goes in form of odd numbers from 9 adding two as row number increases}

Answer:

19

Step-by-step explanation:

(4) 15 people

(5) 17 people

(6) 19 people

add 2 in each line

In its first 5 games, a football team scored 14, 10, 17, 13, and 21 points what is the football teams average?

Answers

Answer:

15

Step-by-step explanation:

Sum of points divided by number of games

Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter? a. 21 times 36 superscript 7 b. 26 times 36 superscript 7 c. 26 superscript 5 baseline times 10 superscript 3 d. 36 superscript 8.

Answers

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

What is Combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.

Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,

[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]

Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

Learn more about Combination:

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Answer:

B. 26 times 36 superscript 7

Step-by-step explanation:

its the right answer

Decide whether the function is linear or nonlinear using both a table and a graph. (Pls help I don’t understand)


y =3x+2

Answers

Answer:

[tex]\huge\boxed{\sf{Linear}}[/tex]

Step-by-step explanation:

Hello.

This function is linear.

Remember, linear functions look like so:

y=mx+b (where m = slope & b = y-intercept)

Is y=3x+2 linear? Sure!

Compare:

y=mx+b

y=3x+2

They look the same, huh? The only difference is that the first one has variables, and the second one has numbers. ;)

Now, what about the graph?

All linear functions have a graph that looks like a straight line.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

If you roll a number cube, what is the probability that you will roll an even number?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Probability is calculated as

P = [tex]\frac{favourable outcome}{number of outcomes}[/tex]

A favourable outcome is an even number , that is 2, 4, 6 , a total of 3

number of outcomes = 6 , that is 1, 2, 3, 4, 5, 6

Then

P( even number) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Please help!!! The following photo has the questions!!! I have 30 minutes :(

Answers

Answer:

15. 10i√3

16. -1

17. 6

18. √35 - 2√5

     --------------

            3

19. x√35 - 3√7x + 4√5x - 12

20.    9√7

   -   ---------

          14

Step-by-step explanation:

15)

√-300 = √-100 × 3 = 10i√3

16)            5

i^22 = 4√22   =    i²   =   -1

             -20

             ------

                2

17)

(√7 + 1) (√7 - 1)

√7 (√7 + 1) - 1 (√7 + 1)

√49 + √7 - √7 - 1

7 - 1 = 6

18)

√5           √7 - 2          √35 + 2√5                      √35 - 2√5        √35 - 2√5

---------  x  ---------    =    ------------------             =    --------------    =   -----------------

√7 + 2     √7 - 2          √49 - 2√7 + 2√7 - 4           7 - 4                     3

19)

(√7x + 4)(√5x - 3)

√7x (√5x - 3) + 4 (√5x - 3)

√35x² - 3√7x + 4√5x - 12

x√35 - 3√7x + 4√5x - 12

20)

-√81       -9              √7         -9√7       -9√7

-------- = -------   x   -------   =  -------   =    -------

√28       2√7        √7         2√49         14

I hope this helps!

f(x) = 3x^2+1

1. f(-2) =

Answers

Answer:

14

Step-by-step explanation:

f(-2) = 3(-2)² + 1 = 3(4) + 1 = 12 + 1 = 13

someone please help. i will mark as brainliest if right :)

Answers

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

[tex]5x^{2} +5x-2x-2[/tex]

[tex]5x(x+1) -2(x+1)[/tex]

[tex](x+1)(5x-2)[/tex]

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

8. The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat for his business. Every day, his route takes him 22.5 miles against the current and back to his dock, and he needs to make this trip in a total of 9 hours. He has a boat in mind, but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order for it to serve the ferry operator’s needs? *

Answers

Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9

Answer:

x=9

Step-by-step explanation:

HELP PLEASE ILL GIVE BRAINLIST 8th grade ALGEBRA I INSERTED A PHOTO

Answers

Answer:

No

Step-by-step explanation:

Solve it yourself, or ask your mom. They might help. So yeah um bye

Find the area of a circle with radius, r = 5.5m.
Give your answer rounded to 2 DP.
m?

Answers

Answer:

Step-by-step explanation: The area of a circle can be found with the equation A=(pi)*r^2. Use the equation to find the answer:

A=(pi)*5.5^2 (or A=3.14*5.5^2)

A=94.99 or 95.03 in exact pi

Have a nice day! :)

If Sally has 4 apples and Timmy has 6 apples, how many apples are there in total?

Answers

10 applesHere's why.

[tex]4\\6+[/tex]

[tex]10[/tex]

10

Step-by-step explanation:

6+4=10 its just adding what Sally and timmy have

Jen can jump rope 80 times in 60 seconds. If she jumps at a constant ratio of seconds to jumps, how many jumps can she make in 15 seconds?

Answers

Answer:

5 jumps per 15 seconds

Step-by-step explanation:

60/15 = 4

80/15 = 5

Have an amazing day!

Please mark brainliest!

You have $12 to spend on lip balm and hand sanitizer. The equation
1.5x + 2.5y = 12 represents this situation, where x is tubes of lip
balm and y is bottles of hand sanitizer.
How many tubes of lip balm can you buy when you do not buy
any bottles of hand sanitizer?

Answers

Answer:

8 Tubes

Step-by-step explanation:

12/1.5=8

PLEASE HELP, 40 POINTS!!!!!!!!!!!!!!!!!!!
Remember that in Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is less than 5%.
For her second lab report, she calculated the height of a building four times. She got the following four heights.

6.8 m
7.5 m
8.1 m
7.8 m
The true height of the building is 7 m.

What was Cynthia's percent error?

Remember: Take the average of the three measurements before calculating the percent error.

Answers

Eu nu știu engleză fiule

Answer: 7.86%

Step-by-step explanation:

Pls help me I need help

Answers

I think

(C)•

•But I’m not really sure•

~•have a great day!•~

Hello there, offering up to 30 pts please answer this Algebra Question.

Answers

Answer: First Solution

Step-by-step explanation:

We can solve this by using the Quadratic Formula, which is

(-b±√b²-4ac)/2a

First off we can find the discriminant. Replacing b with 7, a with 2, and c with -5 gives us a discriminant of 89. But there are two solutions with the discriminant 89.

The second deciding factor would be finding the denominator, which is 2a. Replacing a with 2 gives us 4.

We already know the solution is the first one, but it's important to find the value of the first part of the numerator, -b. Using that we can tell that it's -7, and not 7.

WHAT IS THE ANSWER FOR THIS GRADE 6 QUESTION???? 100 POINTS.

Answers

Not quite sure if this is correct ‍♀️

At what rate is the temperature decreasing?

Answers

Answer:

8 celcius

Step-by-step explanation:

The slope is -8 so it is decreasing by 8

Answer:

8

Step-by-step explanation:

Use two points: (0,40) and (1,32). 40-32=8.

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