Which of the following expressions can be used to find the area of the polygon? Select all that apply.

An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)

Answers

Answer 1

Answer:

Option E

The shape is got using the expression: (20 X 9) - (3 X 2)

Step-by-step explanation:

to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.

The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.

Dimensions of the larger rectangle:

Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.

Thus we have Length = 20 feet, width = 9 feet

Dimensions of the smaller rectangular cutout.

We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)

length of cutout = ( 20-18) = 2 feet

width of cutout = (9-6) = 3 feet

Hence, the area of the shape is got using the expression:

(20 X 9) - (3 X 2)


Related Questions

I need help ASAP!!!!

Answers

Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

A class has 18 students. The teacher asks how many students in the class have pets and finds 5/9 of the students have pets. How many students have pets? * 1 point 9 8 10 11

Answers

Answer:

9 students

Step-by-step explanation:

5/9 of 18 is 10

Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!

Answers

First the difference between the perimeter and area is that area is the amount of space inside a shape, and perimeter is the distance around the shape
^thats what they measure
And since perimeter is a length or distance, the unit of measure is inches, feet, yards, or miles. The area is usually found by doing l x w
Hope this helped

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?

Answers

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

Which Length of ribbon renders the least remainder?

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

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David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.​

Answers

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Calculation of the value of c:

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

[tex]186.5\div 28.5[/tex] = 6.54

And,

[tex]187.5\div 27.5[/tex] = 8.81

So, The value of c for the David journey is 7.

Learn more about distance here: https://brainly.com/question/23561100

Find the missing factor

Answers

Answer:

The missing factor is (9s+1)

Step-by-step explanation:

The missing factor is (9s+1) because of the following

(9s^2 + s) + (18s+2)

If we factor out s from 9s^2+s, we get s(9s+1).

If we factor out 2 from 18s+2, we get 2(9s+1)

putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1

You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence

Answers

Step-by-step explanation:

position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.

Note;the width of the compass when making the arcs should be the same always


Arnold always sits in the second row of seats in his classroom. If there are 5 rows of seats behind Arnold and each row has 6 seats, how many seats are in the classroom?

Answers

Answer:

42 Seats.

Step-by-step explanation:

If Arnold is in the second row and there are 5 rows behind him, there are 7 rows because 2 + 5 equals 7.

So then, you multiply 6 times 7 since there are 7 rows and 6 seats in each row. And that equals 42.

Answer:

b:42

Step-by-step explanation:

find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters

Answers

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D


A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?

Answers

Answer:

therefore the population of the culture is 2313

What is the measure of < B, in degrees?

Answers

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

B

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

Determining a Number of Solutions


Quick


Check


Determine whether the systems have one solution, no solution, or infinitely many solutions.


3x - 2y = 3; 6x - 4y = 1


One Solution


No Solution


Infinitely Many Solutions


3x - 5y = 8,5x - 3y = 2


3x + 2y = 8; 4x + 3y = 1


3x - y = 3; 2x - 4y = 2


3x - 4y = 2, 6x - y = 1


Intro


Done

Answers

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

tell me weather 16641 is a perfect square by division method an please show me the solution too​

Answers

Answer:

yes

Step-by-step explanation:

you see we need to make pairs and then we divide each one by square numbers and I have given picture

Answer:

Yes, the number 16,641 is a perfect square.

Step-by-step explanation:

16641 is the 129th perfect square number

__________________________________________

1 2 9    

1 1 66 41    

1        

22  66      

44      

249  22 41    

22 41    

258   0    

 

Number = 16641

Square Root = 129

________________________________

Step-1 :

Make pair of digits of given number starting with digit at one's place. Put bar on each pair.

           

1 66 41    

Step-2 :

Now we have to multiply a number by itself such that the product ≤ 1

Here 1×1=1≤1, So divisor is 1 and quotient is 1. Now do the division and get the remainder.

 1        

1 1 66 41    

1        

0        

Step-3 :

Now , we have to bring down 66 and quotient 1 is multiplied by 2 becomes 2, which is starting digit of new divisor

 1        

1 1 66 41    

1        

2  66      

Step-4 :

2 should be the digit at one's place of new divisor because when 22 is multiplied by 2 we get 44.

So new divisor is 22 and next digit of quotient is 2. Now do the division and get the remainder.

 1 2      

1 1 66 41    

1        

22  66      

44      

22      

Step-5 :

Now , we have to bring down 41 and quotient 12 is multiplied by 2 becomes 24, which is starting digit of new divisor

 1 2      

1 1 66 41    

1        

22  66      

44      

24  22 41    

Step-6 :

9 should be the digit at one's place of new divisor because when 249 is multiplied by 9 we get 2241.

So new divisor is 249 and next digit of quotient is 9. Now do the division and get the remainder.

 1 2 9    

1 1 66 41    

1        

22  66      

44      

249  22 41    

22 41    

0    

Answer: 129 (proof 129^2) = 16,641 or 129 x 129 = 16,641

______________________________

Second Solution shortcut:

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.

All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Let's try it...

Step 1:

What is the last number of 16,641? It is this number: 16641. The answer is 1. Is 1 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 1 is not in the list of numbers that are never perfect squares. Let's continue to the next step.

Step 2:

We now need to obtain the digital root of the number. Here's how you do it:

Split the number up and add each digit together:

1 + 6 + 6 + 4 + 1 = 18

If the answer is more than one digit, you would add each digit of the answer together again:

1 + 8 = 9

What is the digital root of number 16,641?

Answer: 9

Step 3:

So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!

Factoring

OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 16,641:

1 x 16,6413 x 5,5479 x 1,84943 x 387129 x 129

Highlighted in orange above is the factor combination that makes 16,641 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.

Here's the proof: 129 x 129 = 16,641

What is the area of this triangle? Enter your answer

Answers

The area of a triangle is 1/2(Base * Height) Using this we see that the base is 3 and the height is 4, plugging in our formula is 1/2(3 *4) = 6

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

a family of 8 has 3 of them being males what proportion of the family is female​

Answers

Answer: not very sure but i think that may be 5

Step-by-step explanation:

I think it is 5 idk I could be wrong

Which of the following expressions are equivalent to this expression: –1(0) = ? im lazy and dont wanna do it

Answers

Answer:

0

Step-by-step explanation:

Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.

town B is 40 km due north of town a what is the bearing of a from B ​

Answers

Answer:

180°

Step-by-step explanation:

In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°

determine the volume of a sphere with a diameter of 1.30m in maths​

Answers

Answer:

1.15 m³

Step-by-step explanation:

i hope its correct and i hope its helpful

Step-by-step explanation:

hey can yuh show work by step by step...since its hard plzz

The science club is experiencing a growth in membership. On average, they are
seeing 2 new members sign up each week. If they started with 10 members which
function, S(x), represents the number of members in the science club after x weeks?

Answers

Answer:

S(x)= 10+2^x

Step-by-step explanation:

The correct function which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

We have,

The science club is experiencing a growth in membership.

On average, they are seeing 2 new members sign up each week.

Here, they started with 10 members.

Hence, The function S (x) which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

Where, x is number of weeks.

Therefore, The function is,

S (x) = 10 + 2ˣ

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Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!

Answers

[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]

Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM

Answers

Answer:

Mehmut is 8 years old.

Step-by-step explanation:

From the statement we can get the following information, let M be Mehmut's age and b brother's age:

M = 4 * b

M + 1 = 3 * (b + 1)

We replace the first equation in the second and we are left with:

4 * b + 1 = 3 * b + 3

4 * b - 3 * b = 3 - 1

b = 2

Now, we replace to calculate M:

M = 4 * b

M = 4 * 2

M = 8

Mehmut is 8 years old.

Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?

Answers

Answer:

It will take 20 times for both cost to be same

Step-by-step explanation:

What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.

The first thing to do here is calculate how much that is charged to rent Billyboats

That would be;

Let the number of times be n

so the amount will be

105 + 9.50n

Now, renting at 14.75 at n times would be 14.75n

Mathematically, we equate both

14.75n = 105 + 9.5n

14.75n - 9.5n = 105

5.25n = 105

n = 105/5.25

n = 20 times

a card is drawn at random from a pack of 52 playing cards. find the probability tht the card drawn is neither an ace nor a king

Answers

Answer:

[tex]\frac{11}{13}[/tex]

Step-by-step explanation:

There are 4 aces and 4 kings.

[tex]\frac{8}{52} =\frac{2}{13}[/tex]

Now just subtract that from 1.

[tex]\frac{11}{13}[/tex]

E is in the corner by 10.5 on question 9

Answers

Answer:

see below

Step-by-step explanation:

7. The similar rectangles are W and Z.

8. EF = 18 * 1.8 = 32.4

9. BD = 20 / 2.5 = 8.

A rectangular field measures 616m by 456m. Fencing posts are placed along it's sides at equal distances. What will be the distance between the posts if they are place as far apart as possible?​

Answers

Answer: 766.41m

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem for one triangle.  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the diagonal distance between corners of the field, which is the distance between the posts if they are placed as far apart as possible ) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 616^2 + 456^2  

c^2 = 379,456+207,936  

c^2 =587,392

c = √587,392

c = 766.41m

So, she is within the area serviced by the tower (20 miles)  

Feel free to ask for more if needed or if you did not understand something.  

Solve for x: 3 < x + 3 < 6

Answers

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3

Answers

Your answer is D 11+(-4)=-3

Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 9. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

Answer:

Step-by-step explanation:The distance between points is given by the following equation:

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 Substituting we have:

 15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)

 We clear the value of a:

 (15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2

 225 = (- 12) ^ 2 + (a-2) ^ 2)

 Rewriting:

 225 = 144 + (a-2) ^ 2

 225-144 = (a-2) ^ 2

 81 = (a-2) ^ 2

 a-2 = +/- root (81)

 a = +/- 9 + 2

 The possible values are:

 a1 = 9 + 2 = 11

 a2 = -9 + 2 = -7

 Then, the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

 Answer:

 the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x. Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the equation as 13x = 60 - 7x. Who is correctly applying the addition property of equality in the first step of his work? A. Only Joey B. Only Nolan C. Both Joey and Nolan D. Neither Joey nor Nolan​

Answers

Answer:

Correct option: C.

(Both Joey and Nolan)

Step-by-step explanation:

The step Joey did is:

Add 7x to both sides of the equation

Then, he got:

13x - 42 + 7x = 18 - 7x + 7x

20x - 42 = 18

The step Nolan did is:

Add 42 to both sides of the equation

Then, he got:

13x - 42 + 42 = 18 - 7x + 42

13x = 60 - 7x

So both of them used correctly the addition property of equality in the first step of their work.

Correct option: C.

PLEASE HELP - PLEASE SHOW WORK Given the following functions, find each of the values: f(x)=x^2−7x+6 g(x)=x−1 (f+g)(−5)= ______ (f−g)(4)= ______

Answers

Answer:

(f+g)(-5) = 60(f-g)(4) = -9

Step-by-step explanation:

These are the values we will need:

  f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66

  f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6

  g(-5) = -5 -1 = -6

  g(4) = 4 -1 = 3

__

(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)

(f+g)(-5) = 60

__

(f-g)(4) = f(4) -g(4) = -6 -3

(f-g)(4) = -9

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Mention one class your friend likes a lot. (e.g., She likes art class a lot.) Mention one class she does not like. (e.g., She does not like science class.) Express two clothing items your best friend uses to go to school. (e.g., She uses shoes and pants.) 3 Finalize your oral presentation. Give your presentation in Spanish, using appropriate vocabulary and grammar. Speak clearly and loudly enough for the microphone to record all of your words. Speak at an appropriate rate. (Don't speak too quickly or too slowly, and do not take extended pauses.) Use correct pronunciation and grammar. Use a tone of voice that is appropriate to the task and audience. 4 main causes of erosion Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girls name and then a boys name from the hat? True or False? The internet has changed the way people get the news. A. True B. False 1.) In exchange for allowing him to live, what did Sulla take away from Caesar?2.) Why did Caesar never marry Cleopatra?3.) What was the most important reform (change) that Caesar made to improve how the Republic was managed?4.) Why do you think the Senate decided to assassinate Caesar?5.) What was the reaction of the Roman people to Caesar's assassination?Please answer as much as you can ^^ The function f(x) = x2 + 16x 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold. Determine the vertex, and explain what it means in the context of the problem. (6, 10); The vertex represents the maximum profit. (6, 10); The vertex represents the minimum profit. (8, 4); The vertex represents the minimum profit. (8, 4); The vertex represents the maximum profit. Which is the best first step and explanation for solving this system of equations?3x + 4y = 123x = 2y - 8CEIC3x + 4y + 3x = 12 + 2y - 8Add the two equations to one another.3x + 4y - (3x) = 12 - (2y - 8)Subtract the second equationfrom the first equation9x + 12y = 363x + 4y - 8 = 12 - 8Multiply both sides ofthe first equation by 3.Subtract an equal amount fromboth sides of the first equationAnswers only please How are the equations of a parabola, ellipse, and hyperbola created? You are renting a car that charges a $30 fee plus 40 cents a mile. The rate of changeis $30.TrueFalse According to How the Other Half Lives, who was to blame for the lack of freshair in buildings in the tenements