Two students calculated the area of a polygon in the coordinate plans using different strategies explain the two methods and which do you prefer and why

Answers

Answer 1

Answer:

There are following two methods.

1-By using pre programmed calculator

2-By using formoula

Step-by-step explanation:

1-The first method i suggest for the calculation of area is by using the pre programmed calculator.

Enter the vertex clockwise or anticlockwise into the calculator.

this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.

2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula

First number the vertex in clockwise or anticlckwise direction.

Than use the following formoula to calculate the area of polygon.

Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]

here, if area is negative we take mode of it

[tex]x_{n}[/tex] is the x coorinate of nth vertex.

[tex]y_{n}[/tex] is the Y coorinate of nth vertex.

This method is universal. By using this method we can calculate area of any type of the polygon.


Related Questions

At a carnival, Andrew went on rides and played games.
• Each ride cost $2.
• Each game cost $2.
• Andrew went on 3 rides and played g games.
Andrew wrote the expression below to represent the total
amount of money, in dollars, he spent at the carnival.
6 + 2g
Which of the following is another way Andrew could represent
the total amount of money, in dollars, that he spent at the
carnival?

a. 2 × 3g
b. 2(3 + g)
c. 4 × 3g
d. 4(3 + g)

Answers

Answer:

I thinks its b cause you have to multiply them both by 2 and add 3 and g together. hope it helps

The expression can also be 2(3 + g).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Each ride cost $2.

Each game cost $2.

Andrew went on 3 rides and played g games.

So, the ride costs = $6

and, games costs = $2g

Andrew pay in total = 6 + 2g

                                 = 2 (3 + g)

Hence, the expression can also be  2(3 + g).

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-7=y/-10
Help me, please

Answers

Answer:

70

Step-by-step explanation:

Solve any pre-algebraic equation with inverse operations:

-7 = y/-10

multiply both sides by -10

-7 * -10 = y

now simplify:

remember that multiplying two negatives with result in a positive

70 = y

-28 + 2x = -18 what is x?

Answers

Answer: x=5

Step-by-step explanation:

To solve for x, we want to use algebraic properties to isolate x.

-28+2x=-18        [add both sides by 28]

2x=10                 [divide both sides by 2]

x=5

Now, we know that x=5.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 28 + 2x = - 18 }[/tex]

[tex] \tt{Step \: 1}[/tex] : Move 28 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{2x = - 18 + 28}}[/tex]

[tex] \tt{Step \:2}[/tex] : Subtract 18 from 28

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \hookrightarrow{ \sf{2x = 10}}[/tex]

[tex] \tt{Step \: 3}[/tex] Divide both sides by 2

[tex] \hookrightarrow{ \sf{ \frac{2x}{2} = \frac{10}{2}}} [/tex]

[tex] \tt{Step \: 4}[/tex] Calculate

[tex] \hookrightarrow{ \sf{x = 5}}[/tex]

[tex] \tt{∴ \: The \: value \: of \: x \: is \: \bold{5}}[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Simplify the expression. Write your answer as a complex number.

2 times the square root of 25 plus the square root of negative 16

Answers

Answer:

d

Step-by-step explanation:

____________________ A letter that represents one or more numbers. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

The answer is a Variable

Step-by-step explanation:

In algebra, symbols (usually letters) are used to represent numbers. To solve math problems, you should know what variables and constants are. Here is an introduction to the terms variables and constants. A variable is a letter or symbol used as a placeholder for an unknown value.

I hope this helps you :)

Which Angel number supplementary to angel to AED

Answers

Answer:

Angle number 5

Step-by-step explanation:

The sum of supplementary angles equal 180°.

Angle AED, in the diagram given is labelled angle 4.

The angle labelled 4 forms a linear pair with the angle labelled 5.

Since a linear pair of angles = 180°, therefore:

m<AED + m<AEI = 180°.

That is:

m<4 + m<5 = 180°.

Both angles are supplementary.

Therefore, angle number 5 is supplementary to angle AED.

Please i need help thank you

Answers

It’s the three one down. y= -1/2x + 5

what is the slope intercept form of the equation 15x-4y=32

Answers

Answer: y = 15/4 x - 8

Step-by-step explanation:

What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?

Answers

Answer:forcing someone to stay in the world they dont wanna be in

Step-by-step explanation:

Forcing someone to stay in a world they are unhappy in.

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

The product of eight and a number x

Answers

Answer:

To write this down as an algebraic expression you would simply need to multiply the two terms together.

So in this case it would be 8 multiples by x which is 8x

Step-by-step explanation:

1) Find out the variables in the Expression

2) Find the operation that is done to the variables

3) Apply the operation to those variables.

The product of 8 and an unknown number x is 8x.

What is multiplication?

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given the product of 8 and x

Product is also called multiplication.

Multiplication is an arithmetic operator which is applied in between two numbers or variables.

For example 2 × 4, 4 × 5.

So,

Product of 8 and x must be

8 × x = 8x

Hence "The product of 8 and an unknown number x is 8x".

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Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

5 x (-1/3) do u know

Answers

Answer:

~-1.67

Step-by-step explanation:

Multiply. Note that when you multiply a negative and positive number, your answer will be negative:

5 x (-1/3) = (5 * -1)/3

Multiply, then divide:

5 * -1 = -5

-5/3 = ~-1.67 (rounded to the nearest hundredths).

~

Answer:

-5x/3

It just is, trust me.

In how many ways can 5 people sit around a circular table

Answers

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

Choosing a car that coasts _____ instead of a car that costs _____ means that you’ll have more money available for other purchase. A. $12,000; $11,000 B. $9000; $7000 C. 10,000; $14,000 D. 18,000; $12,000

Answers

Answer:

C. : Choosing a car that costs 10,000 instead of a car that costs 14,000 means that you'll have more money available for other purchases

Step-by-step explanation:

-3x + 7= 28
what does x equal

Answers

-3x+7=28
1st step move the seven to the other side of the equal sign and change it from positive to negative like this
-3x=21
Step 2 divide 21 by -3 and the answer will be -7

Answer:

x = -7

Step-by-step explanation:

[tex]-3x+7=8[/tex] subtract 7 on both sides

[tex]-3x=21[/tex] divide -3 into both sides

[tex]x=-7[/tex]

To check

-3(-7) = 21 + 7=28

You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches and a nap thickness of 1/4 inch, as shown

Answers

Answer:

21.38 square inches

Step-by-step explanation:

Given that You are using a 9 inch paint roller to paint a wall of your bedroom. The roller has a dimension of 1 5/8 inches as diameter and a nap thickness of 1/4 inch, as shown

The nap is the fuzzy materials on the surface roller. How much area does the roller cover in one full revelation

The parameters to be considered are:

Diameter = 15/8 inches

Thickness = 1/4 inches

After one revolution rolling, the dimensions of the length will be:

L = 1/4 + 15/8 + 1/4

L = 19/8 inches.

Let the width be equal to 9 inches

The area covered = L × W

Substitute L and W into the formula

Area = 19/8 × 9

Area = 21.38 square inches

Therefore, the area covered by the roller in one full revelation is 21.38 square inches

John's teacher bought three 64 ounce bottles of soda for a class party. At the end of the party, 1/6 of the soda remained. How many ounces of soda remained?

Answers

Answer: 10

Step-by-step explanation:

64/6=10 therefore it is 10

What is the coefficient in the expression 8x + 10

Answers

2 is the answer common multiple of 8and 10
The coefficient in the expression “8x+10” would be 8. If I’m correct, the coefficient is pretty much the number placed before a variable. Like 10x or 4x. It would be the number paired with it. If that makes sense? So your answer would be 8. I hope this helped! :)

8/9p=12/18 whats the p value?

Answers

Answer:

p = 12/18

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/9*p-(12/18)=0

Simplify.

Simplify more.

Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       3

A spinner with 8 equally sized slices has 2 yellow slices, 3 blue slices, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice?

Answers

I believe the answer is 1/3 because 1 represents the spin and 3 for your chances to land on blue

The probability that the dial stops on a yellow or blue slice will be 5/8.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

A spinner with 8 equally sized slices.

It has 2 yellow slices, 3 blue slices, and 3 red slices.

Now,

Since, The dial is spun and stops on a slice at random.

Here, Number of yellow and blue slice = 2 + 3

                                                             = 5

And, Total number of slices = 8

So, The probability that the dial stops on a yellow or blue slice = 5 / 8

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is the product of two rational numbers always a rational number?

Answers

Answer:

Yes, it's always rational.

Step-by-step explanation:

What is the slope of the equation: y = -3x +7

Answers

The slope of the equation is -3.

In the neighborhood 72 families, 18 one or more cats as a fraction then express the fraction as a decimal

Answers

Answer:

poopie

Step-by-step explanation:

This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!

Answers

Answer:35

120-85=35

120>85

Jill made 20 muffins. She puts them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?​

Answers

Answer:

it would be 6 muffins each and muffins sounds so good right now TwT

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20-2=18

18÷3=6

Therefore there are 6 muffins in each box

A flower garden is 22.50m long. Sheila wants to make a border along one side using bricks that are 0.25m long. Find the number of bricks needed. a) 9 (b) 90 (c) 900 (d) none of these

Answers

Answer:

  (b)  90

Step-by-step explanation:

Four bricks are needed for each meter of length:

  4 × 22.5 = 90

90 bricks are needed.

What does an arrow as an endpoint
imply for a function? How does it
effect your domain and range?
I

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

It menas that it keeps going.

Step-by-step explanation:

If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.

<-                              ->

10 less than ten      10, more than ten.

Latoya created a factor tree and wrote the prime factorization of 90 shown below. A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5. What is Latoya's error? She should not have found the factors of 9. She should have included an exponent of 2 on the 3. She should have included 9 and 10 in the prime factorization. She should have started the tree with 2 times 45.

Answers

Answer:

B) She should have included an exponent of 2 on the 3.

Step-by-step explanation:

Just took the test. Good luck!

find three consecutive odd integers with a sum of 75

Answers

Answer:

23, 25, 27

Step-by-step explanation:

first integer will be X, second will be (X+2), and the third will be (X+4). They will all be summed up and set equal to 75.

[tex](x) + (x + 2) + (x + 4) = 75[/tex]

combine like terms:

[tex]3x + 6 = 75[/tex]

subtract 6:

[tex]3x = 69[/tex]

divide by 3 to find value of X:

[tex] \frac{3x}{3} = \frac{69}{3} [/tex]

[tex]x = 23[/tex]

plug in X in o red der to finger the rest of the integers.

(X+2)= (23+2)=25

(X+4)= (23+4)=27

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