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The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's area?

Answers

Answer 1

Answer:

The answer is- 40

Step-by-step explanation:

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Answer 2

The area of the pentagon represented here is 40 units².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the coordinates of the vertices of the pentagon given are A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0).

We have to find the area.

This pentagon can be divided in to triangle CBD and trapezium ABDE.

Find the area of each to find the total area of the pentagon.

Area of ΔCBD = [tex]\frac{1}{2}[/tex] × BD × CB

Using the distance formula,

BD = [tex]\sqrt{(8-3)^2+(5-5)^2}[/tex] = 5

CB = [tex]\sqrt{(3-3)^2+(5-8)^2}[/tex] = 3

Area of ΔCBD = [tex]\frac{1}{2}[/tex] × 5 × 3 = 7.5

Area of trapezium ABDE = [tex]\frac{1}{2}[/tex] × (AE + BD) × DE

Using the distance formula,

AE = 8, BD = 5 and DE = 5

Area of trapezium ABDE = [tex]\frac{1}{2}[/tex] × (8 + 5)5 = 32.5

Total area of the pentagon = 7.5 + 32.5 = 40 units²

Hence the total area is 40 units².

Learn more about Area here :

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Related Questions

A ramp was constructed to load a truck. If the ramp is 9 feet long and the horizontal
distance from the bottom of the ramp to the truck is 7 feet, what is the height from the
ground to the top of the ramp? (Round your answer to the nearest tenth of a foot)

Answers

Answer:

a^2 + 64 = 100

a^2 = 36

a = 6

por lo que la altura es de 6 pies

Step-by-step explanation:

giving brainliest if u answer

Answers

From top to bottom :
D, E, A, C

I think that is right and I hope it helps!
From start to end
D,E,A,C

I pretty sure this is correct hope this helps

The table in the image shows the results of a survey of 100 people randomly selected at an
airport. Find the experimental probability that is going to City E. Write the probability as a
fraction, decimal and percent.

Answers

Answer:

8/100, 0.08, and 8%

Step-by-step explanation:

probability = no. of responses/total no. of people.

= 8/100

In fraction, 8/100

In decimal, 0.08

And in percent, 8%

Triangle ABC is shown Translate Triangle ABC 5 units left and 4 units up and reflect it over the x-axis​

Answers

Here is my process for solving this.

First I drew arrows that indicated I was moving the whole triangle 5 units to the left.

*Look at first attachment*

Then I drew another triangle using those new points. (The new triangle is in pink)

*Look at second attachment*

Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)

*Look at third attachment*

Then I drew the new triangle in blue using the new points.

*Look at fourth attachment*

Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.

*Look at fifth attachment*

The fifth attachment in green is the final product! Hope that helps.

Find the area of the given parallelogram.

A.128 sq in
B.264 sq in
C.276 sq in
D.272 sq in

Answers

Answer:

272

Step-by-step explanation:

because you multiply 17 x16

Step-by-step explanation:

✰[tex] \underline{ \underline{ \large{ \tt{ \bold{ \purple{G \: I \: V \: E \: N}}}}} }: [/tex]

Base of the parallelogram ( b ) = 16 inHeight of the parallelogram ( h ) = 17 in

✰ [tex] \underline{ \underline{ \large{ \tt{ \bold{ \red{T \: O \: \: F \: I \: N \: D }}}}}}:[/tex]

Area of the given parallelogram ( P )

✰ [tex] \underline{ \underline{ \large{ \bold{ \pink{ \tt{ S \: O \: L \: U \: T\: I \: O\:N}}}}}} : [/tex]

[tex] \boxed{ \large{ \bold{{\sf{Area \: of \: a \: parallelogram \: ( \: A \: ) \: = b \: \times \: h}}}}}[/tex]

Plug the known values and then multiply !

⟷ [tex] \large{ \tt{17 \: in \: \times \: 12 \: in}}[/tex]

⟷ [tex] \large{ \tt{ 272 \: {in}^{2} }}[/tex]

☥ [tex] \red{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{272 \: {in}^{2} }}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \mathfrak{ \: Carry \: On \: Learning}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

someone help me please

Answers

= 34y = 1156
Divide both sides by 34
Y = 1156/34
Simplify 1156/34 to 34
Y = 34

please help!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

lol ok so im stuck on this pls help

Answers

Answer:

The slope is -5

y intercept is -2

Step-by-step explanation:

Solve the equation for y

5x+y =-2

Subtract 5x from each side

5x+y -5x = -5x-2

y = -5x-2

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -5 and the y intercept is -2

Answer:

Slope -5

y intercept 2

Step-by-step explanation:

5x+y=-2 in the form y =Mx+ c is,.

y=-5x+-2

y=-5x-2

Where m is the slope which is -5

And c is the y intercept i.e 2

Suppose that a sequence is defined as follows. And find the next 4 terms.
a1= -1
an=-4an-1 +2
n>= 2

Answers

Answer: s,djfhbewhbwejkhbkhbwqigqiygwurygqwygRwqyr

Step-by-step explanation:

How does finding the unit rate make it easier to solve problems?

Answers

Answer:

Unit rate is regularly a helpful method for contrasting proportions and their related rates when estimated in various units. The unit rate permits us to look at different sizes of amounts by inspecting the quantity of units of one amount for each one unit of the subsequent amount.

Step-by-step explanation:

Here is a situation: I have $5. I save $2 each week. How many weeks do I need to save until I have at least $50? Write the inequality for this situation and solve it. Discuss the meaning of your solution.

Answers

Answer:

22 Weeks

Step-by-step explanation:

You just divide 50 by 2 to get 25 and it will take you 3 weeks to get the equivalent of 5 dollars therefore you subtract 3 from 25 and get 22, meaning that it will take 22 Weeks for you to save at least $50. The meaning of my solution is that I just used basic division addition and subtraction to find my answer.

Answer:

1.  it will take you 22.5 weeks or 23 if you are supposed to round it

2. 5+2x>50

Step-by-step explanation:

i calculated it.

A cheese spreader can be broken into a rectangle and triangle. The rectangle has a height of 3 centimeters and a base of 5 centimeters. The triangle has a height of 3 centimeters and a base of 3 centimeters.

What shapes can the shape of the spreader be divided into to find its area?
A. a triangle with a height of 3 cm and a base of 8 cm and another triangle with a height of 5 cm and a base of 8 cm
B. a triangle with a height of 3 cm and a base of 3 cm and a rectangle with a height of 3 cm and a base of 8 cm
C. a triangle with a height of 3 cm and a base of 8 cm and another triangle with a height of 3 cm and a base of 8 cm
D. a triangle with a height of 3 cm and a base of 3 cm and a rectangle with a height of 3 cm and a base of 5 cm

Answers

Answer:

D

Step-by-step explanation:

Brandi has equal numbers of hip-hop songs and country songs loaded on her personal music player. She has it set to play songs on a random shuffle. Suppose Brandl is designing a simulation that could be used to estimate the probability that the next three songs to play are all hip-hop songs Which simulation design could Brandi use to estimate the probability?


A. Coin Let heads (H) = hip-hop Let tails (T) = country Toss coin three times. Repeat

B. Random digits Let 0.1phop Let 2.3.4.5.6 = country Select two random digits Repeat

C. Number cube Let 1 = hip-hop Let 2 = country Roll cube three times Repeat

D. Nurbe cube let 1 = hip-hop let 2 = country Roll cube four times. Report​

Answers

The answer to this is C.

A fitness club is having a special sale where you pay $27 to join plus a $8.00 monthly fee. You have $75.00 to spend. Write and solve the equation to determine how many months you can use the fitness club.

Answers

Answer:

6 months

Step-by-step explanation:

27 + 8x = 75

x = months which is what you're trying to figure out

1. subtract 27 from 27 and 75

2. then you have 8x = 48

3. divide both sides by 8 so x=6

4. 6 months

Answer:

27 + 8 x 6 = 75$. You can spend 6 months at the fitness club.

Step-by-step explanation:

please help me thank you

Answers

Answer:

-2[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

So this is simple substitution, [tex]\frac{1}{2}[/tex](-[tex]\frac{1}{5}[/tex])-[tex]\frac{2}{3}[/tex](3)=> -[tex]\frac{1}{10}[/tex] - [tex]\frac{6}{3}[/tex]=> [tex]-\frac{1}{10}[/tex] - 2= [tex]-2\frac{1}{10}[/tex].

-2 1/10

Do you give brainliest?

( please help!! I will give brainliest tysm! ) The diameter of a carbon atom is 2.2 × 10 -8cm. Write this as a whole number

Answers

Answer:

it is  0.000000022 cm as a number but rounded to 0 as a whole number

Answer:

The answer is -220000000.

Step-by-step explanation:

First multiply 10 X-10 X-10 X-10 X-10 X-10 X-10 X-10 and you will get -100000000 then multiply 2.2.

H e e e e l l l ppppp

Answers

Answer: C

Step-by-step explanation:

the answer is c lol

Can u pls help me?? I need so much help on this and im so sorry for posting a lot

Answers

A I believe :) sorry if it’s wrong

Answer:

B

Step-by-step explanation:

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.

Since you already had angle N and O, B would be correct because they have the same shape and size.

Select all the quantities that describe a unit rate.


Mark bought 1 pound of grapes.

A recipe calls for 3 cups of flour for 1 cake.

Emma drank 2 cups of coffee per day.

Madison had 4 books and 3 notebooks in her backpack.

Daniel makes $340 each month at his summer job.

Answers

Answer:

2, 3, 5

Step-by-step explanation:

2: 3 cups of flour per cake

3: 2 cups of coffee per day

5: $340 per month

2,3, and 5 hope this helps :)

find the volume of an icecream cone that has an hight of 4.6 in. and a diameter of 1.2 in.

Answers

Answer:

The volume would be 1.73 inches cubed.

Step-by-step explanation:

Use the formula for finding the volume of a cone, and plug in the given numbers.

V=πr^2*h/3

V=3.14*.6^2*4.6/3

Simplify the equation, and you are left with..

V = 1.73

What is the slope of the line that passes through the points listed in the table?


A. -3
B. 3
C. 5
D. 7

Answers

I think the answer is c

Answer:

C

Step-by-step explanation:

took the test

Mike walked 5/8 of the way to school before it started raining. How many percent of the trip did he get before it rained?

Answers

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

VOLLEYBALL. This is for my volleyball players. Name 5 facts about volleyball terminology!!

Answers

Answer:

ace, attack, antenna, approach, assist.

Step-by-step explanation:

Hello!

I need help please...

What is [tex]\sqrt[450]{3,650}[/tex] as a divided.

Make a explanation to this... Do not copy, or go on g.oogle to get the answer to this...

And maybe you can show proof how you got the answer?

Thanks~

Answers

Answer: The Answer is in a fraction form

Step-by-step explanation:

9/73

It is in a fraction form

5. What are 3 true statements you can claim based on
the proportional relationship between the time (hrs)
driving & the distance (mi) driving. (find 3 points
yourself)

Answers

Answer: 1 hour is equal to 46 miles 2 hours is 92 miles and 20 hours is 920 miles

Step-by-step explanation:

92/2 = 46 miles

46 x 2 = 92 miles

46 x 20 = 920

PLS HELP ME!!
describe an example of a situation when the graph would be represented with a constant interval.

Answers

When the graph reaches his point
when the graph reachest highest point

Drew made $18 per hour. Then he got a 10% raise. After cutbacks, he then had to reduce his hourly rate by 3%. What is his hourly rate after the cutbacks?

Answers

Answer:

19.206

Step-by-step explanation:

First you need to find out 10% of 18.

You can do that by 18/100 which is .18.

Then multiply that by 10 which is 1.8 (10% of 18)

His hourly rate decreased by 3% AFTER his raise so you would find 3% of 19.8 and not 18.

You do the same process and divide 19.8/100

Then multiply this by 3 and you can get 0.594

That is how much his raise decreased by so you would subtract it from 19.8

19.8 - 0.594 = 19.206 (Round if needed)

Hope this helps

19.206 i got the question right

question is in the picture please explain how you got ur answer!

Answers

I believe if I’m not wrong the answer should be B 1/6

Answer:

1/6

Step-by-step explanation:

Because there are 3 even numbers on a number cube, and if you roll it twice then it would be 6. And there is only one "3" on a number cube. So, the answer is 1/6.

What number does x represent in the equation below?

3x + 7 = 34

Answers

27 is the final answer

HELP pls if right get brainlist
also im promoting ppl yt not mine but go sub to this yt called daja grooms

Answers

Answer:

x = 115

Step-by-step explanation:

(straight angle) - (acute angle) = (x or obtuse angle)

180 - 65 = 115

x= 115!!!!!!!!!!!!!!!!
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