What is area of the irregular figure below? 6in 4in 12in

Answers

Answer 1

Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm

How to calculate the area of a composite figure?

Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

The missing image is attached below.

We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.

Area of the figure = Area of the top square + Area of the bottom rectangle.

Finding area of the top figure ABCD:

Length of AE = |AE| = 16 cm

|AE| = |AD| + |DE| = 16

|DE| = |GF| = 8 cm

Thus, we get:

|AD| + 8 = 16

|AD| = 8 cm

Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.

Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]

Finding area of the bottom figure DEFG:

Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:

|DE| = |GF| = 8 cm

|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches

Thus, its a rectagle with dimensions of 8 cm by 16 cm.

Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]

Thus, area of the composite figure = 16 + 96 = 112 sq. cm.

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What Is Area Of The Irregular Figure Below? 6in 4in 12in

Related Questions

find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?​

Answers

Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

I have a question about this please see attachment below.

Answers

Answer:

Step-by-step explanation:

Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?

Answers

Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Length of a Celine episode.Variable y: Length of a Paul episode.

Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:

39x + 42y = 7869

Then:

[tex]y = \frac{7869 - 39x}{42}[/tex]

This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:

14x + 41y = 6117.

Since [tex]y = \frac{7869 - 39x}{42}[/tex]:

[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]

14x - 38.07x = -1564.64.

x = 1564.64/24.07

x = 65.

[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]

Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

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Why is dividing a fraction by 3 and then multiplying by 2 the same as multiplying by 2/3?
please i need it now

Answers

it would be the same you would already be dividing by 3 because it’s the denominator and the numerator is 2

Will give 100 points if you answer im so tired please answer fast

Answers

135.5 in. I think I’m not 100% sure

help help help help help help​

Answers

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

The sum of two numbers is -34. The difference of the two numbers is 14. What are the two numbers?

Answers

Answer:

the no. are -10 and -24

when we add -10 with -24 we get -34

Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$ The mean absolute deviation is . The values differ from the mean by an average of .

Answers

Using it's concept, it is found that:

The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean of the data-set is given by:

M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.

Hence, the mean absolute deviation is given by:

MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45

Then:

The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.

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Assume you are going to buy a new Nissan Rouge priced at $28250 and after the deal you have found out that the sales tax is 10%. Estimate the answer.

Answers

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign

Which of the following are NOT organizational structure for an informative essay?
A. cause and effect
B. chronological
C. equal parts
D. problem solving

Answers

D is the answer
explanation

Find the sum of the series:

Answers

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

Some children entered a dirt bike race. Sammi came in 12 minutes before Ali. Ali came in 9 minutes after Zack. Conner came in 4 minutes after Ali. Zack finished in 38 minutes. How many minutes did it take for Sammi to finish the race?​

Answers

The answer is 35 minutes because Zach finished in 38 minutes Ali came in 9 min after which make him finish at 47 minutes then Sami came in 12 minutes before Ali making it 35 minutes because 47-12=35

89 90 91 92 96 96 99 99 find the median

Answers

Answer: The median is 96

Step-by-step explanation:

Identify the range of the exponential function?

Answers

Answer:

The range of an exponential function, or any function is all the possible y values the function can spit out.

In MOST exponential functions they will be x>0

I am talking about the standard form: y = a * b^x

I cannot tell you the range for YOUR exponential function without seeing it first.

There are 30 days in November.
It’s rains on 3/5 of them
Work out the number of days when it does not rain.

Answers

(3/5) × 30 = 3 × 6 = 18 days it won't rain

30 - 18 = 12 days it will rain

hope it helps...!!!

For which value of a does Limit of g(x) as x approaches alpha not exist?​

Answers

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

Limit of a function

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

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I need the answer urgently please !!

Answers

Answer:

y = 2x

Step-by-step explanation:

Parallel line share the same slope, therefore we can put any parallel line of y = 2 (x + 1) in equation as: y = 2x + k

As the parallel has to intercept with point (2/3, 1/3), simply put the coordinate into the equation to get value of k

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

k = 0

Therefore the equation of this parallel line is y = 2x

5. A square on the coordinate plane has vertices
at A(-3,0), B(1, 2), C(2,-1), and D(-2,-4). After a
dilation using a scale factor of 3, what are the
new coordinates of D'?

Answers

Answer:   (-6, -12)

Reason:

Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)

In other words, triple each coordinate of point D.

This trick only works if the center of dilatioin is the origin.

Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2

Answers

When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

Which expression is equivalent to [4(x + 9)]/ 2/3

Answers

Answer:

36+2.67

Step-by-step explanation:

I hope this is correct

thrill drop to nearest food. Number of minutes

Answers

Elaborate more so an answer can be given….

8 - 3(2-(3 + 1)2 = 8.2)​

Answers

-3 (-6=82)+8
im pretty sure like 80%

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

17/18pi or 2.97

Step-by-step explanation:

170 degrees to radian

170 * pi / 180 degrees

so, 170pi/180

17/18pi or 2.97

100 POINTS!! NEED ANSWER WITH WORK ASAP!!
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?

Answers

Answer:

See below ~

Step-by-step explanation:

This is a combination because the order in which the players are selected is not important.

Number of ways

14! / 11! 3!14 x 13 x 12 x 11! / 11! x 3 x 214 x 13 x 2364 ways

Apply combination

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So

[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]

[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]

[tex]\\ \rm\Rrightarrow 4004[/tex]

Write an equation of the line that passes through the point (6,-9) with the given slope m= 3

Answers

Answer:

[tex]y = 3x - 27[/tex]

Step-by-step explanation:

[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]

Yesterday, there were 80 problems assigned for math homework. Deb got 72 problems
correct and 8 problems incorrect. What percentage did Deb get correct?

Answers

Answer:

90%

Step-by-step explanation:

Do 72/80 to find the decimal

72/80=0.9

Then to convert decimal to percent move the decimal point two times to the right.

0.9=90%

Carmen has 4 baby bunnies. Each bunny weighs 1/5 of a pound. How much do the bunnies weigh all together?

Answers

Step-by-step explanation:

The answer is 0.8 as a fraction is 4/5

A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?

I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone

Answers

To determine the lower price, the formula should use a z-value that is less than -1.

How to utilize the z-value?

We are given;

Mean; x' = $6.32

Standard deviation; s = $0.47

A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.

Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.

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press the link and tell the answers pls

Answers

Answer:

wE NEED MORE CLARIFICATION

Step-by-step explanation:

What is the equasion
What is the link

Answer:

im passing this concept trust me answer is 34.8

Step-by-step explanation:

x+5= 3(x-4) + 5
What is the answer

Answers

Step-by-step explanation:

x + 5 = 3x -12 + 5

x + 5 = 3x - 7

Subtract 5 from both sides....

x + 5-5 = 3x -7 - 5

x = 3x - 12

Change the sign ...

12 = 3x - x

12 = 2x

12/2 = x

x = 6

hence 6 is the answer.......

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

x=6

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

First , use the Distributive Property :

x+5=3(x-4)+5

x+5=3x-12+5

x+5=3x-7

subtract 3x on both sides :

x-3x+5=-7

-2x+5=-7

Subtract 5 on both sides :

-2x=-7-5

-2x=-12

divide by -2 on both sides :

x=6

We've found the value of x : x = 6 .

[tex]\footnotesize\text{hope\:helpful~}[/tex]

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