.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.​

Answers

Answer 1

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

.Draw A Quadrilateral In The Cartesian Plane, Whose Vertices Are ( 4, 5), (0, 7), (5, 5) And ( 4, 2).

Related Questions

Find the unit rate
a. 5 movie tickets for $25.00
b. mowed 5 yards for $35.00
c. 6 calculators cost $240.00
d. 8 dollars for 2 cans of tuna ​

Answers

Answer:

A.  $5

B.  $7

C.  $40

D.  $4

Step-by-step explanation:

To find the unit rate, you need to divide the cost by the amount.

A.  $25/5 = $5 for a movie ticket

B.  $35/5 = $7 for one yard

C.  $240/6 = $40 for a calculator

D.  $8/2 = $4 for a can of tuna

Which temperatures are listed in order from coldest to warmest?

−6°, −2°, 0°, 4°

0°, −2°, 4°, −6°

−6°, 4°, −2°, 0°

−2°, −6°, 0°, 4°

Answers

Answer:

the temperature list from coldest to warmest is :-2,-6,0,4

could u plz answer this
2x-7=13
3x+4=25​

Answers

Answer:

x=10

Step-by-step explanation:

Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.

Answers

Answer:

he can buy 2 pounds of macaroni

Step-by-step explanation:

first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy

Answer:

Charlie can buy 1 or 2 pounds of macaroni

Step-by-step explanation

If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.

hope this helped

I don’t know the answer

Answers

Answer:

?=1O or 15

Step-by-step explanation:

HELP!! Who ever does all these problems gets a brainlist and 50 points

Answers

Answer:

760cm = 7.6m

2485m = 2.485km

3090g = 3.09kg

205ml = 0.205ml

It seems I only get 30 points, ah well.

Find the x-intercept: 5y-2x=17

Answers

x-intercept:

(−17/2, 0)

y-intercept:

(0, 17/5)

PLEASE PLEASE PLEASE HELP ME!!!!!!

Answers

Answer:

C

Step-by-step explanation:

The solution to a system of equations given graphically are at the points of intersection of the 2 graphs.

The graphs intersect at (- 2, - 4 ) and (4, 8 )

Thus the solutions to the system are (- 2, - 4) and (4, 8 )

i need the answer as soon as possible
Graph the following system of inequalities.

Answers

Answer:

X i think

Step-by-step explanation:

Which pair of events are independent of each other?
A.
getting an even number on the first and second roll of the die
B.
selecting an ace from a deck of cards, and then drawing another ace without replacing the first
C.
drawing a ball from a bag, and then drawing another ball without replacing the first
D.
drawing a red paperclip from a bag of paperclips, and then drawing another red paperclip without replacing the first
PLZ HELP AND HURRY

Answers

Answer:

A

Step-by-step explanation:

The other 3 pairs are all dependent because you have to take into account when you are choosing a card, ball, or paperclip for a second time, that you already got rid of one of the items, so it is less likely to draw a duplicate.

Sorry if that doesn't make sense lol

What are the coefficients and constants of 7+5x need fast!!!!

Answers

Answer:

35

Step-by-step explanation:

there u go have a great day!

GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!! ( the answer is either yes or no )

Answers

Answer:

No

Step-by-step explanation:

The first triangle slope is 12 [tex]\sqrt{37}[/tex] while the second one is 24[tex]\sqrt{37}[/tex] . In order to be on the same line both slopes have to be the same

A school flag consists of three rectangular sections that each have a different color.
In the diagram, a represents the width of the green section in inches
2
3
Write an expression to represent the
area of the flag as the sum of the areas
of each section.
Green
2x+21
+3
Purple
11
Orange
1) Write an expression to represent the area
of the flag as the product of the flag's
length and width
7
&
9
2+
?)
4
56

Answers

Answer:

[tex]Area =\frac{10x + 15}{2}[/tex] in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by [tex]1\frac{1}{2}[/tex]

Purple Section: Dimension: 3 by (x + [tex]1\frac{1}{2}[/tex])

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

[tex]Area = Length * Width[/tex]

For the green section;

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

[tex]Area = 2x[/tex]

For the orange section

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

[tex]Area = 3[/tex]

For the purple section

[tex]Area = 3 * (x + 1\frac{1}{2})[/tex]

[tex]Area = 3 * (x + \frac{3}{2})[/tex]

[tex]Area = 3x + \frac{9}{2}[/tex]

Total Area = Sum of the above areas

[tex]Area = 2x + 3 + 3x + \frac{9}{2}[/tex]

Collect Like Terms

[tex]Area = 2x + 3x+ 3 + \frac{9}{2}\\[/tex]

[tex]Area = 5x+ \frac{6+9}{2}[/tex]

[tex]Area = 5x+ \frac{15}{2}[/tex]

[tex]Area =\frac{10x + 15}{2}[/tex]

Solving (b): Area of the flag as a product

From the attachment,

[tex]Length = 2 + 3[/tex]

[tex]Length = 5[/tex]

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

[tex]Area = Length * Width[/tex]

[tex]Area = 5(x + 1\frac{1}{2})[/tex]

[tex]Area = 5(x + \frac{3}{2})[/tex]

[tex]Area = 5x + \frac{15}{2}[/tex]

Take LCM

[tex]Area = \frac{10x + 15}{2}[/tex]

explain in your own words one way you could turn 9/25 into a decimal.




YOU HAAVE TO EXPLAIN

Answers

Answer

Step-by-step explanation:

If 25 goes into 100 four times, then multiple 9 x 4 and then make it into a precent. 9 x 4 = 36, would equal .36

Answer:

To turn 9/25 into a decimal, you could turn the denominator to 100. In order to do this, you can multiply both the numerator and denominator by 4. 9/25 x 4/4 = 36/100. 36/100 converted into a decimal is 0.36.

Step-by-step explanation:

I hope this helped! If it is correct, mark as brainliest :)

4. Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number. (1 point)
O 307 cm 3
O 1,436 cm3
O 1,020 cm 3
0615 cm
5. Find the radius of a sphere with a surface area of 804 cm (1 point)
9 cm
O 8 cm
O 64 cm
204 cm

Answers

Answer:

about 1437

about 2144

Step-by-step explanation:

i looked it up on google :)

Answer:

8

Step-by-step explanation:

I NEED HELP ITS TIMED​

Answers

Answer:

Binomial

Step-by-step explanation:

This is because it has two terms

Will give crown help

Answers

Answer:

5,1,-3,-7

Step-by-step explanation:

y=-4x+1

if x is -1,

-4(-1)+1 or 4+1 or 5.

Following,

5,1,-3,-7

Hope this helps plz hit the crown :D

What is the product?
2013
-2
2
2 0
- 2
Worth 35 pts

Answers

Answer:

...

Step-by-step explanation:

Answer:

-2 / 0

Step-by-step explanation:

you multiply 2 and -1 and 2 and 0 and you get -2 and 0.

What is the mean absolute deviation of the following set of data 4 6 2 8

Answers

Answer:

srry i really need points

Step-by-step explanation:

Help appreciated, thanks so much!

Answers

Answer:

r= -6

Step-by-step explanation:

If you are seeing this, This is a simple sign to calm down and relax. You have been working very hard and your burned out. Take a break from the stress of trying to find your answers. Its okay. Ask your questions. Take a break. Breathe. You will get your assignments done. You will pass your assignments. You will get good grades. Just relax and ask me your questions. ​

Answers

Answer:

Dang they deleted my last answer

Step-by-step explanation:

I wonder why people ACTUALLY report stuff like this....

Answer:

thanks

Step-by-step explanation:

Helppppp pleazeee!!!

Answers

I believe the answer is Chord AB

Answer:

wooo

Step-by-step explanation:

A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?​

Answers

Answer:

x=2

2 games.

Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4

Answers

Answer:

[tex]- \frac{45}{4}[/tex]

Step-by-step explanation:

Step one:

given the information

[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]

The third option is correct

This is in edge and I’m timed!!!

Answers

Answer:

C

Step-by-step explanation:

It’s 1.333333333(repeating) and that is equal to 1 1/3

Answer:

C-1 1/3

Step-by-step explanation:

The answer in decimal form is 1.33333333*repeating* and that is equal to 1 1/3 in fraction form, so C would be correct.

Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.

Answers

Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?

Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264

how do you graph this
y-2x=0
y=4x+3

Answers

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?

Answers

Answer:

Initially, we had:

100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)

This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8

Then the mass of seeds, x, can be calculated as:

x/100g = 0.8

x = 0.8*100g

x = 80g

We also have another mixture, that is 5% seed (or 0.05 in decimal form)

This means that in X grams of this mixture, there will be y grams of seeds, such that:

y/X = 0.05

y = 0.05*X grams

Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).

Let's do this.

If we add X grams of the 5% mixture, the total mass will be:

M = 100g + X.

The total mass of seeds will be:

m = 80g + X*0.05

and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4

m/M = 0.4

(80g + X*0.05)/(100g + X) = 0.4

Let's solve this for X.

(80g + X*0.05) =  0.4*(100g + X)

80g + X*0.05 = 40g + X*0.4

80g - 40g = X*0.4 - X*0.05

40g = X*0.35

40g/0.35 = X = 114.2g

If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)

If we add 114g, like Tom wants, we will have:

M = 100g + 114g = 214g

m = 80g + 0.05*114g = 85.7g

m/M = 85.7g/214g = 0.4005

This is a really good aproximation, if we write this in percentage form this would be:

0.4005*100% = 40.05%

2=b-7 solve this question please​

Answers

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

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