Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's

polygon?

1. Point A (2.5)

2. Point B (8,5)

3. Point C (8,9)

4. Point D (5,7)

5. Point E (2.9)

V

E

C

9

8

D

7

6

ke

5

A

B

4

3

2

1

5

6

7

8

9.

Answers

Answer 1

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18

Ramon Was Plotting The Coordinates Of A Polygon. He Has Plotted The Coordinates Of The Polygon Shown

Related Questions

In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer


Answers

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe

Answers

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4

Answers

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

To find range subtract the smallest # by the largest number. So 8 - 3 = 5
5 is the range for this set.

zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential

Answers

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

Answers

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

What is the value of x?

Answers

Answer:

98%

Step-by-step explanation:

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a

If she repays the loan in 3
months, how much interest does she pay in total?

Answers

We know, 1 year = 12 month.

So, 3 month = 3/12 = 0.25 year.

Now, principle amount, P = $400 .

Rate is, r = 8% = 0.08

Time period, t = 0.25 year.

Now, Interest is given by :

I = P × r × t

I = $( 400 × 0.08 × 0.25 )

I = $8

Therefore, she will pay $8 interest in total.

12. Ryan deposited $3,500 in a savings account with
an interest rate of 3% per year. How much simple
interest will he earn in 4 years?

Answers

The answer to this question is 420 dollars

are squares parallelograms

Answers

yes because it has 4 sides

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

What scale factor do you use to make

A 5mm object 100mm ?

Answers

Answer:

Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

Q6.
Nimes was driving to a hotel.
He looked at his Sat Nav at 13 30
Time
1330
Distance to destination
65 miles
Nimec arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.

Answers

Answer:

The average speed at which Nimes drove his car was 50 miles per hour.

Step-by-step explanation:

Given that Nimes was driving to the hotel at 1:30 p.m., being 65 miles away from it, and finally arriving at its destination at 2:48 p.m., to determine the average speed at which the circle should be made. following calculation:

14:48 - 13:30 = 1:18

60 = 100

18 = X

(18 x 100) / 60 = X

1,800 / 60 = X

30 = X

65 / 1.30 = X

50 = X

Therefore, the average speed at which Nimes drove his car was 50 miles per hour.

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Answers

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3

Answers

Answer:

B

Step-by-step explanation:

C its C hopes this helps

how do you solve 0.7n-1.5+7.3n=14.5​

Answers

Answer:

n = 2

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.7n-1.5+7.3n=14.5​

Add like terms

(0.7n + 7.3n) + (-1.5) = 14.5

8n -1 .5 = 14.5

Add 1.5 to both sides.

8n =1 6

Divide both sides by 8.

n = 2

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Answers

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Need help on this please

Answers

95 degrees maybe not sure tho

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

Write an equation of the parabola with focus (0, 10) and vertex at the origin

Answers

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Need help on only 27 please need ASAP thanks

Answers

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)

Answers

Answer: The is down there

Step-by-step explanation: Glad to help but hope it helps you.

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Kevin draws out one M&M without looking.

· What is P(green)?


· What is P(red)?


· What is P(~Yellow)?


· What is P(~Orange)?

Answers

Answer:

1/6

Step-by-step explanation:

M&M comes in 6 colors.

So, P(green), = 1/6

P(red) = 1/6

· P(Yellow) = 1/6

· P(Orange) = 1/6

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