In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.

Answers

Answer 1

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2


Related Questions

???????????????????¿

Answers

I'm just going to take a chance and say 1.A, and 2.D.

Explain why the following problem will have an
irrational answer.
√5 x 7.14

Answers

Answer:The product is a non-repeating non terminating decimal. Think it is.

Step-by-step explanation:

Answer:

It is a non repeating non terminating decimal.

Step-by-step explanation:

help me pleaseee pleaseee

Answers

Answer:

x=3

PAW = 40

Step-by-step explanation:

-11x+173-x+43=180

-12x+ 216 = 180

12x = 36

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Decrease £313 by 62%
Give your answer rounded to 2 DP.

Answers

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

When sebatian weight his balikbayan box, its weight was 34 kg. When he got to the airport, he found out that the airline charge $5 for each lb in excess of the free baggage allowance of 50 lb. How much will sebatian pay for the excess weight?

Answers

Answer:

1 kg = 2.205 lb

34 X 2.205 = 74.97lbs

74.97 - 50 = 24.97

25 x 5 = $125

14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.

Answers

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

If tan 0 = 8/15, what is sin 0?

Answers

sin theta = 8/17

hope this helps

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

solve for x and y and explain

Answers

Answer: x=9 and y=9

Step-by-step explanation: Y is in the same spot as x! Good luck! :D

Can someone help ASAP plsss

Answers

Answer:

the 4 by 6 and 6 by 4

Step-by-step explanation:

as the answer is same for the both value of 24

commutative meaning however it is placed the value will be not be affected

wayne's country has a sales tax rate of 5%. How much does mike's car cost before tax if the total cost of the car plus tax is 13,032.60?

Answers

$13,032.60=X*(1.05)
Divide both sides by 1.05
X is original car price before tax

Car price was $12,412.00

A percentage is a way to describe a part of a whole. The cost of the car is $12,412.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,

The total cost of the car = Cost of the car + Tax on the car

$13,032.60 = Cost of the car + 5% of the cost of the car

Let the cost of the car be represented by x.

$13,032.60 = x + 5% of the x

$13,032.60 = x + 0.05

$13,032.60 = 1.05x

x = $13,032.60 / 1.05

x = $12,412

Hence, the cost of the car is $12,412.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Identify the angle pair given the transversal

Answers

alternate exterior

hope this helps!
Answer: Alternate exterior
Explanation: they’re on the outside and they’re on the opposite sides

how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!

Answers

Answer:

144

Step-by-step explanation:

12 inches by 12 inches is 144. quick mafs

Answer:

144

Step-by-step explanation:

Pls help due asap!
Pls SHOW WORKINGS

Answers

Answer:

[tex]m\angle 1=95^{\circ}[/tex]

Step-by-step explanation:

If we drew an auxiliary line parallel to line [tex]p[/tex] and line [tex]q[/tex] that intersects the vertex of [tex]\angle 1[/tex], we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as [tex]148^{\circ}[/tex].

The angle on the bottom right corresponds with the angle next to the one marked as [tex]63^{\circ}[/tex]. Therefore, its measure is [tex]180-63=117^{\circ}[/tex].

Since there are [tex]360^{\circ}[/tex] in a circle, we can now write the following equation:

[tex]m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}[/tex].

Answer:

95

Step-by-step explanation:

The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.

You then find the the angles of the triangle. The vertex angle is the supplement to <1.

This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

9,18,36,... Find the 6th term.

Answers

Answer:

576

Step-by-step explanation:

9, 18, 36, 72, 144, 288
288

find the holes
[tex]f(x)=\frac{x+3}{(x+1)(x-2)}[/tex]

Answers

Answer:

          x=-1 and x=2

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

12
Solve using the Quadratic Formula for 2x2 + 5x – 3 = 0
x = -5, 7
b. X = -12,2
X = -3,42

Answers

Step-by-step explanation

Step-by-step explanation:

[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]

⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]

Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }

Now ,

[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]

⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]

Taking positive ( + ) sign :

⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]

Taking negative ( - ) sign :

⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Answers

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​3​ years?

Answers

Answer:

$329.18

Step-by-step explanation:

315 + 14.18 = $329.18

I need help pls because I am confused.

Answers

Answer:

1/8

Step-by-step explanation:

The answer before you simplyify will be 24/4. that = 6

1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:

Answers

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

please solve this on a paper will be given brainliest ​

Answers

Answer:

[tex]x=2,\\x=-2,\\x=\sqrt{3},\\x=-\sqrt{3}[/tex]

Step-by-step explanation:

This is a quadratic in disguise. Let [tex]n=x^2[/tex]. We can rewrite the problem as a quadratic to solve:

[tex]n^2-7n+12=0,\\(n-3)(n-4)=0,\\n=3,\: n=4[/tex].

Now plug in these values of [tex]n[/tex] to solve:

[tex]\begin{cases}x^2=4, \:x=\pm 2\\\\x^2=3, x=\pm\sqrt{3}\end{cases}[/tex].

Therefore, our solutions are [tex]x=\pm 2, \:x=\pm\sqrt{3}[/tex].

Angle A and angle B are complementary. If angle A measures 45 degrees, what does angle B measure?

Answers

a is 45 degrees and b is 45 degrees

Please help with this!! I will mark brainliest! I just need a simple explanation

Answers

Answer: x = 29

Step-by-step explanation:

The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.

5x - 23 + 5x - 23 + 2x + 2x = 360

14x - 46 = 360

14x = 406

x = 29

Other Questions
Please help with all three will give brainliest and $5 What climate conditions occur during La Nia?O stronger prevailing winds and more hurricane activityO warmer Pacific waters and warmer wintersO more hurricane activity and warmer Pacific waterswarmer winters and stronger prevailing winds PLS HELP ASAPUse a graph to solve the following 243=3^x+^3 In the book the Outsiders, After Bob gets killed, the other boys flee the park. Does this speak to their loyalties? What might it say about them? Would Pony or any member of his gang ever leave a man behind, dead or alive? How is the US Constitution amended ? Will mark Brainliest!!!Paragraph 5 looks at the types of fuels organisms need.Which of the Following statements is true?1)Humans need a lot of fat molecules to avoid hunger2)humans need proteins, fatty acids, vitamins & minerals 3)Humans need a constant supply of red meat4)Humans need to take Vitamin B supplements Please help & thank You Please help!! 20 points!!! I dont know if is d.... the____ wrote a petition to king George declaring Parliament couldn't pass laws on the colonists without representation by colonists. A. Second Continental Congress, B. country of France, C. First Continental Congress or S. Sons of Liberty (c) Give short introduction of Transparency International with its function? which expression is equivalent to (3a+7) (2a-5)? plz help, I need help Copy the expressions which are polynomials. Give reasons why the remaining arenot polynomials.a)3x-2b)p^2+1/pc3y^2-2y/3+1 The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement. AC =Round your answer to the nearest hundredth.?704B What is the volume of a cylinder with a diameter of 12 m and a height of27 m. Remember, d=2r. What time is shown on this clock TRUE OR FALSE ?? the British turned to their "Southern Campaign" because they thought that SC and other southern colonies were filled with Patriots ? Which of the following is not something geographers consider when studying a certain area?a.physical systemsb.human systemsc.places and regionsd.timelines PLEASE HELP MEDo you think its possible to capture energy from photosynthesis for human use? please explain Although West Africa was rich in natural resources, it experienced political instability when different tribes and kingdoms vied for control over the trade. This political turmoil was one of the factors that caused to grow in Africa.