The figure shows four smaller squares in the corners of a large square. the smaller squares have sides of length 1cm, 2cm, 3cm and 4cm in anticlockwise order and the sides of the large square have length of 11cm.
What is the area of the shaded quadrilateral? (see attachment)

The Figure Shows Four Smaller Squares In The Corners Of A Large Square. The Smaller Squares Have Sides

Answers

Answer 1

Answer:

B. 36 [tex]cm^{2}[/tex]

Step-by-step explanation:

The shaded quadrilateral has a shape of a trapezium.

Area of a trapezium = [tex]\frac{1}{2}[/tex](a + b)h

where: a is the side length parallel to the base, b is the base and h is the height.

The height of the figure = 11 - (4 + 1)

                                        = 11 - 5

                                        = 6

The height of the figure is 6 cm.

The length of its base = 11 - (1 + 2)

                                    = 11 - 3

                                    = 8

The length of its base is 8 cm.

The length of the side parallel to base = 11 - (4 + 3)

                                     = 11 - 7

                                     = 4

The parallel side length to base is 4 cm.

Area of quadrilateral = [tex]\frac{1}{2}[/tex](a + b)h

                                     = [tex]\frac{1}{2}[/tex](4 + 8)6

                                    = 12 x 3

                                    = 36

Area of quadrilateral = 36 [tex]cm^{2}[/tex]


Related Questions

Match the statements written in English with the mathematical statements.
Group of answer choices I will give brainiest

The number -4 is a distance of 4 units away from 0 on the number line.
[ Choose ]

The number -63 is more than 4 units away from 0 on the number line.
[ Choose ]

The number 4 is greater than the number -4.
[ Choose ]

The numbers 4 and -4 are the same distance away from 0 on the number line.
[ Choose ]

The number -63 is less than the number 4.
[ Choose ]

The number -63 is further away from 0 than the number 4 on the number line.
[ Choose ]

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP HURRY

Thanks!!!!!!

This is math :)

Answers

Answer:

DON'T PRES THAT LINK THAT IS A HACK AND VIRUS

Step-by-step explanation:

HOPE THIS LETS YOU REMEMBER  ABOUT NOT PRESSING THESE LINKS!

Keegan had 3.25 pounds of flour. After making bread, he had 1.75 pounds of flour left over. i know its 1.5 but whats the Equation?

Answers

Answer:

Step-by-step explanation:

loaves per week) 1.0 = 51 pounds of flour 1.5 = 76 pounds of flour 2.0 = 101 pounds of flour 2.5 = 127 pounds of flour 3 = 152 pounds of flour Pounds of Wheat Berries Storage For DIY Bread If you mill your own flour, to maintain your current consumption of bread during a time when you’re drawing on your deep pantry food storage:

yall i really need help plz its due today

Answers

Answer:

Whats the assinment name

Step-by-step explanation:

I got


The Martin family purchases a new home at a cost of $240,000. They finance the home for 30 years at 6% interest, compounded continuously
How much will the Martins pay for the house, including interest

Answers

Given:

Principal value = $240,000

Rate of interest = 6% compounded continuously.

Time = 30 years

To find:

The amount after interest.

Solution:

The formula for amount after continuous compounding the interest is:

[tex]A=Pe^{rt}[/tex]

Where, P is principal, r is rate of interest and t is the number of years.

Putting [tex]P=240,000,r=0.06,t=30[/tex], we get

[tex]A=240,000e^{0.06(30)}[/tex]

[tex]A=240,000e^{1.8}[/tex]

[tex]A=1451,915.39146[/tex]

[tex]A\approx 1451,915.39[/tex]

Therefore, Martins will pay $1451,915.39 for the house, including interest.

The equation -1 - 6 = -7 does not simplify to a true statement.

True
False

Answers

Answer: false

Step-by-step explanation:

the statement does simplify  to be true.

- 1 - 6 does equal - 7

Answer:

False

Step-by-step explanation:

-1-6=-7 which is equal to -7 therefore it is a true equation

thus meaning that the statement is false

55% of 6th grade students voted in the student election. 440 sixth grade students voted in the student election. How many total 6th graders are in the school

Answers

Answer:

800. Here's why:

Step-by-step explanation:

This indicats that 440 students make up 55% of the 6th grade population. We can write this as

55/440.

We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as

100/x.

55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders

Answer:495

Step-by-step explanation:

440 rounds up to 450,450+450=900-the 10 we rounded so 890-440 is 450 which is half so we need to add 440 to 550 to get 990 and we half 990 to get  495 and that is your answer i think im very sorry if this is wrong btw a sixth grader did this please find out a way to reply to my comment or something like that to tell me if i am right.

Determine the mean absolute deviation of the data.9, 7, 11, 10, 8

Answers

Answer:

1.2

Step-by-step explanation:

First, we need to find the mean of the data. We do this by adding all of the given numbers than dividing it by the number of numbers given. For example, we will add 9+7+11+10+8 which is 45. Since there are 5 given numbers, we are going to divide 45 by 5 which is 9. Now, we need to find the difference (subtraction) of all of the numbers in relation to 9. For example, for 9, we do 9-7 which is 2. Keep 2 in mind. Then we do 11-9 which is also 2. 10-9 is 1. 9-9 is 0. And finally, 9 minus 8 is also 1. Then, like what we did before, we need to find the mean of all of these differences. 2 plus 2 plus 1 plus 0 plus 1 is 6. Then, we divide 6 (our total of these differences) by 5 (the number of differences) 6 divided by 5 is 1.2 so there is your MAD and answer.

The mean absolute deviation of the given data is 1.2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

Here's how to calculate the mean absolute deviation.

Data given: 9, 7, 11, 10, 8

Step 1: Calculate the mean.

[tex]mean = \frac{sum\ of\ observations}{number\ of\ observations} \\\\mean = \frac{9 + 7+11 + 10 + 8}{5}\\ \\mean =9[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Data    Distance from mean

9          |9 - 9| = 0

7          |7 - 9| = 2

11          |11 - 9| = 2

10         |10 - 9| = 1

8          |8 - 9| =1

Step 3: Add those deviations together.

Sum of deviations =  0 + 2 + 2 + 1 + 1 = 6

Step 4: Divide the sum by the number of data points.

Mean absolute deviation = [tex]\frac{sum\ of\ deviations}{number\ of\ observations}\\ \\[/tex] = [tex]\frac{6}{5} = 1.2[/tex]

Learn more about mean absolute deviation here

https://brainly.com/question/10528201

#SPJ2

How do we draw graphs in those kinds of questions?

Answers

Scan the equations in math-way and look at the graph

the answer is D Does not exist; does not exist
just wanted to add my answer anyway :)) have a great day

Answers

Answer:

Have a great day too..... :)

A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling helppppppo​

Answers

Answer:

random sampling

Step-by-step explanation:

Answer:

A.

Step-by-step explanation: Cluster sampling

help asap please , don’t know how to do this lol

Answers

Answer:

no

Step-by-step explanation:

Help with this question

Answers

first option is the correct answer

Four times a number is 44. What is the number? 44 n n n n 10 11 40 48

Answers

4n=44
Divide both sides by 4.
n=11
Therefore, the number is 11.

Answer:

11

Step-by-step explanation:

Which equation can be used to find the number that can be added to 410 to get 946?
A
2 – 410 = 946
B
2 +410 = 946
С
410 – = 946
D
410 + 946 = 2

Answers

Answer:

B) 2+410=946

Step-by-step explanation:

Because the question is asking to add and b is the only one with a + sign.

Whats 13 1/4 + 16 1/2

Answers

13 1/4 + 16 1/2=29.75

Answer:

29 3/4

OR

29.75

Step-by-step explanation:

1/2 is equal to 2/4 so we can convert it like this-

13 1/4+16 2/4

(13+16=29)

(1/4+2/4=3/4)

29 3/4

OR

29.75

in a bowl there are 20 Hershey bars and 50 bags of skittles. what is the ratio of skittles to hershey bars in the bowl

Answers

Answer:

5:2 or in other words 5 to 2

Step-by-step explanation:

The original ratio would be 50:20, but we can divide both sides by 10 to simplify our answer to 5:2.

Answer:

5:2 Or 50:20 (5:2 is the simplified version)

50 bags of skittles to 20 Hershey bars    (what it looks like with words)

Step-by-step explanation:

What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?

Answers

Answer:

Answer is 22

Step-by-step explanation:

2×7+9-3÷3

14+9-1

23-1

=22

I hope it's helpful!

Answer: 22

Step-by-step explanation:

I did it on paper and got 22. I checked my answer by using a calculator and it also said 22. Correct me if I'm wrong. Hope this helped

Plz help due tomorrow

Answers

2x + 4 1/5 = 9
2x = 9 - 4 1/5
2x = 5 1/5
2x divided by 2 = x
5 1/5 divided by 2 = 13/5 (2 3/5, or 2.6)
x = 13/5 (2 3/5, or 2.6)

2. Which two equations are represented in the following graph?

Answers

Answer:

C. y=x+4 and y=3x+2

Step-by-step explanation:

Please help and I will give you a Cookie

Answers

Step-by-step explanation:

In triangle

x²=5²+12²

x²=25+144

x²=169

x= root of 169

x=13

Answer:

13

Step-by-step explanation:

A^2+B^2=C^2

5=A 12=B X=C

C is is always the longest side of a right triangle.

Please give me the right answer. :)

Answers

Answer:

174mm hope this helps Happy Saint Patrick's day

Answer:

11,340 mm

Step-by-step explanation:

I am really really sorry if im wrong

The value of k lies between 2.2 and 2.3.
Select all possible values of k.

Answers

Answer:

Its easy... 5 and 5.04!

Step-by-step explanation:

You have to look at it properly. It says "The value of SQUARE ROOTED K."

So all you have to do is square root them and whatever is in between 2.2 and 2.3 is ur answer. Ur answer 5 and 5.04.

The values of √k that lies between 2.2 and 2.3 is 5 and 5.04.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that √k falls between 2.2 and 2.3

For k = 1.49, √1.49 = 1.22 which is not between 2.2 and 2.3

For k = 4.8, √4.8 = 2.19 which is not between 2.2 and 2.3

For k = 5, √5 = 2.2 3which is between 2.2 and 2.3

For k = 5.04, √5,04 = 2.23 which is between 2.2 and 2.3

For k = 5.3, √5.3 = 2.302 which is not between 2.2 and 2.3

For k = 6, √6 which is not between 2.2 and 2.3

The values of √k that lies between 2.2 and 2.3 is 5 and 5.04.

Find out more on equation at: https://brainly.com/question/2972832

The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning

Answers

Hi here’s the answers hope this helps

The value of A and B will be 6 and 3 respectively

What is Linear equation with two variables?If an equation is stated in the form ax + by + c=0, it is said to be a linear equation in two variables, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are real values.Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept

How to solve this problem?

The steps are as follow:

Given equations

Ax +By = 15

Ax - By = 9

Given that both lines intersect at point (2,1), so both above equation can be written as:

2A + B = 15

2A - B = 9

Solving the above equation by adding both of them we get:

4A = 24

A = 6

Putting value of A in one of equation we will get:

2A + B = 15

2(6) + B = 15

B = 3

So the value of A and B will be 6 and 3 respectively

Learn more about Linear equation with two variables here:

https://brainly.com/question/1060504

#SPJ2

The CN tower in Toronto is once the worlds tallest freestanding structure from a certain point the angle of elevation of the top of the tower at 65° from a .50 6.6 m closer to the angle of elevation of the top of the tower is 70° calculate the height of the CN Tower

Answers

Answer:

h o e

Step-by-step explanation:

Write an equation to describe the relationship in each table

Answers

Answer:

1:[tex]y=x+6[/tex]

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

Step-by-step explanation:

If I helped, a brainliest answer would be greatly appreciated!

Please help me, i’m stuck in this answer

Answers

Answer:

I think it stays the same.

Step-by-step explanation:

2. Simplify the expression below.
6 X 4 = 2

Answers

Answer:

24=2

Step-by-step explanation:

6 ⋅ 4= 2

24 = 2

For what value of x is the figure a rectangle?

Answers

: 9x+31 hope it helps

The circumference c of a circle is given by the formula c equal 2 pi if the radius of the circle is 10 inches find the circumference of the circle

Answers

Answer:

62.8 inches

Step-by-step explanation:

c = 2πr

Where,

c = Circumference of a circle

π = pi = 3.14

r = radius = 10 inches

c = 2πr

= 2 × 3.14 × 10

= 62.8 inches

c = 62.8 inches

Therefore,

The circumference of the circle is 62.8 inches

Other Questions
Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x 3 ) = 64 true?81161or 67 Identify two additional foods that your school could serve with Bagel-Brand B that would compensate for two nutrients that Bagel-Brand B lacks or provides in small amounts. 1. Explain one nutritional benefit that is present in each food that you have identified.A. First additional food item.B. List one nutritional benefit of the first additional food item. C. Second additional food item.D. List one nutritional benefit of the second additional food item. Which section from the text best demonstrates the change in school shootersover time?A. "His mother was an alcoholic who lived with a series of violent men. In one twoyear stretch, he lived in 10 foster homes and was both sexually and physically abused."(Paragraph 21)B. "That's what Paton and Larkin mean: the effect of Harris and Klebold's examplewas to make it possible for people with far higher thresholds - boys who wouldordinarily never think of firing a weapon at their classmates - to join in the riot."(Paragraph 51)C. "The prosecution saw someone who wanted to be Eric Harris and plainly assumedthat meant he must be like Eric Harris, that there must be a dark heart below LaDue'sbenign exterior." (Paragraph 56)D. "In the day of Eric Harris, we could try to console ourselves with the thought thatthere was nothing we could do, that no law or intervention or restrictions on gunscould make a difference in the face of someone so evil." (Paragraph 66) Find the value of the expression 100 10p3 when p = 0 PLS HELP!The length of AC is 10 inches.What is the length of FA ?5 in.8 in.10 in.20 in. Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum? Why is oxygen consumption a good measure of respiration in yeast? Choose the correct term to complete the sentence.Professional communication must be objective, , and unemotionalinformaltechnical rational Explain cleary how interpersonal conflict can be addressed through engaging in physical exercise 4. The term for a vindictlve type of aggressive driving is road rage.A) O TrueB) O False Lauren got 321$ for her birthday. She wants to put 20% in her savings account. How much will she have left over to buy new clothes? Calculate the sum of the first n terms of the arithmetic progression (an)a) a, = -4; d = 2; n = 16please help me HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!! GET IT WRIBNG ON PURPOSE I REPORT YOU! Find the value of x.(Round to the nearest tenth as needed.) Read the excerpt from Act I of Hamlet.Bernardo: Tis now struck twelve; get thee to bed, Francisco.What is the meaning of the underlined phrase? Given f(x)=0.25(6)x, find f1(x). Joe made a frozen yogurt shake with 10 ounces of milk and some strawberry frozen yogurt. He used the mixture to fill three 5-ounce glasses and had 2 ounces left over. How much-frozen yogurt did he use? __ estudias?- Estudio porque quiero una A en la clase. A.cuando B.Por queC. PorqueD.Que Please help!! ill give 20pts1) y=x2+24x+43 find the vertex form by completing the square SHOW ALL WORK!!!2) Given the function f(x)=x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer. what is the [?]which one answers this equation. please help24 [?] 3/4= -32answer choices:x (times)+ (plus) - (minus) / (divided by)