Find the area of the composite figure.​

Find The Area Of The Composite Figure.

Answers

Answer 1

The area of the composite figure is equal to 52 square units

How to calculate for the area of the figure

The composite figure can be observed to be made up of two congruent triangles, and a parallelogram, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the one congruent triangles = 1/2 × 8 units × 4 units

area of the one congruent triangles = 16 square units

area of the parallelogram = 5 units × 4 units

area of the parallelogram = 20 square units

total area of the composite figure = 16 square units+ 16 square units + 20 square units

total area of the composite figure = 52 square units

Therefore, the area of the composite figure is equal to 52 square units

Know more about area here:https://brainly.com/question/21135654

#SPJ1


Related Questions

what is difference between 10 and 12?

Answers

Answer:

2 units

Step-by-step explanation:

To find the difference between 10 and 12, we can use this equation:

12 - 10 = 2

Or:

10 - 12 = -2

Therefore, the difference is 2.

4³ = blank X blank X blank = 64

fill in the blanks​

Answers

Step-by-step explanation:

4³ = 4 × 4 × 4

4³ = 16 × 4

4³ = 64

Answer: 4³ = 4 × 4 × 44³ = 16 × 44³ = 64

Step-by-step explanation: hope this helps0^0

\left\ {{9x-6y=4 \atop {15x-10y=7}} \right

Answers

Answer: The answer is {x,y}={17/5,-68/5}

If ΔABC≅ΔDEF, then what corresponding side is congruent to side BA? (Enter your answer using the segment letters only.)

Answers

Answer:

ED

Step-by-step explanation:

Since,

Δ ABC ≅ Δ DEF

Side AB is congruent to side DE

Or

BA is congruent to ED.

Sergio wants to buy the newest Jordans. They cost $210. Sergio plans to save $12 each month. His mom is going to give him $50. Write an equation to find x, the number of months it will take him to save the needed money.

(WHAT IS THE EQUATION?)

Answers

Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

[tex]12x+50=210[/tex]

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

what is the volume of this figure?

Answers

The volume of the figure is 18 cubic units

How to determine the volume of the figure

From the question, we have the following parameters that can be used in our computation:

The figure

The figure can be divided into two 3-D figures represented below

Cube: side length = 2

Cuboid: 2 by 5 by 1

The volume of the figure is then calculated as

Volume = Volume of cube + Volume of cuboid

So, we have

Volume = 2 * 2 * 2 + 2 * 5 * 1

Evaluate

Volume = 18

Hence, the volume is 18 cubic units

Read more about volume at

https://brainly.com/question/463363

#SPJ1

The 8 students in the Environmental Club represent 5% of the students in the seventh grade. How many students are in the seventh grade?

Answers

There are 160 students in the seventh grade.

What is number?

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To calculate the number of students in the seventh grade, you must divide the number of students in the Environmental Club by the percentage they represent. The answer is 8 divided by 0.05, which equals 160. Therefore, there are 160 students in the seventh grade.

The Environmental Club provides students with an opportunity to learn more about the natural environment and how to help protect it. The club members work together to come up with ideas to promote environmental awareness and action in their school and community. They plan activities such as tree-planting, trash clean-ups, and educational presentations. The club also participates in activities like field trips to local parks and nature preserves.

By joining the Environmental Club, students can gain a better understanding of their local environment and how to protect it. This can help them become more aware of their actions and how they can make a difference in the world. They can also develop leadership and communication skills, as well as an understanding of the importance of teamwork. Furthermore, they can make friendships and connections with other students who share the same values and interests.

Overall, the Environmental Club is an important part of the school community and provides great benefits to its members. It allows students to gain knowledge, build skills, and make a positive difference in their communities.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied x 0 1 2 3 PX) 0.106 0.352 0.394 0.148 1 UA Yes, the table shows a probability distribution B. No, the random variable x is categorical instead of numerical C. No, the numerical values of the random variable x are not associated with probabilities, ID No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1 Find the mean of the random varlable Select the correct choice below and, if necessary, fill in the answer box to complete your choice - students (Round to one decimal place as needed.) 8. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fit in the answer box to complete your choice O OA students (Round to one decimal place as needed.) B. The table does not show a probability distribution, Time Remaining: 03:24:26 Next Statcrunch

Answers

The variance is 0.745

The  standard deviation is 0.863

What is Probability?

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

Write an expression for thr measure of the given angle

Answers

The expression for the measure of the given angle in the image of the circle with center O is [tex]\frac{arc UZW}{2}[/tex].

Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:

[tex]m\angle UXY = \frac{arc UZW}{2}[/tex]

An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex. The angle in the plane does not need to be in Euclidean space.

Learn more about angles:

https://brainly.com/question/3204896

#SPJ4

You can compare two marginal distributions to see if the corresponding two variables are related.T or F

Answers

You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

To know more about probability refer:

https://brainly.com/question/13604758

#SPJ4

2

Simplify the expression

(1 point)

Answers

The simplified form of the expression x² - 8x +16 is (x - 8)²

Expressions are mathematical statements that involve operations, such as addition, subtraction, multiplication, and division. In this problem, we are given the expression x² - 8x + 16 and asked to simplify it.

The expression can be simplified by using factoring techniques. We can factor the expression as (x - 8)(x - 8), which can be further simplified as (x - 8)2. The simplified expression is (x - 8)²

Therefore, the simplified expression for x² - 8x + 16 is (x - 8)². This shows that the expression is a perfect square, which can be written as (x - 8)², where (x - 8) is the square root of the expression

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

Complete Question:

Simplify the expression x² - 8x + 16

Find integer matricesA,Bnot multiples of each other such thatNul(A)=Nul(B)andCol(A)=Col(B)

Answers

A = [1 0 0; 0 1 0; 0 0 0] and B = [1 1 0; 0 0 0; 0 0 0] are two integer matrices that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B).

To find integer matrices A and B that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B), we can start with the following matrices:

A = [1 0 0; 0 1 0; 0 0 0]

B = [1 1 0; 0 0 0; 0 0 0]

The null space of A consists of all vectors of the form [x; y; 0], where x and y are integers. Similarly, the null space of B also consists of all vectors of the form [x; y; 0]. Therefore, Nul(A) = Nul(B).

The column space of A consists of all vectors of the form [x; y; 0], where x and y are integers. Similarly, the column space of B also consists of all vectors of the form [x; y; 0]. Therefore, Col(A) = Col(B).

We can verify that A and B are not multiples of each other by computing their determinants. The determinant of A is 0, while the determinant of B is 0 as well. However, A and B are not multiples of each other because the first column of A is [1; 0; 0], while the first column of B is [1; 0; 0] + [0; 1; 0], which is a linear combination of the columns of A.

Therefore, A = [1 0 0; 0 1 0; 0 0 0] and B = [1 1 0; 0 0 0; 0 0 0] are two integer matrices that are not multiples of each other such that Nul(A) = Nul(B) and Col(A) = Col(B).

To learn more about matrices please click on below link.

https://brainly.com/question/29712506

#SPJ4

Find integer matrices A, B not multiples of each other such that Nul(A)=Nul(B)andCol(A)=Col(B)?

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent О А categorical dataO B quantitative data O C e ither categorical or quantitative data. O D since the numbers are sequential, the data is quantitative.

Answers

The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

for such more question on quantitative

https://brainly.com/question/3882981

#SPJ4

Find the sum of the measures of exterior angles, one at each vertex, of an octagon.
180
360
1,080
1,440

Answers

Answer:

B. 360

Step-by-step explanation:

A rule of polygons (octagon included) is that the sum of the exterior angles always equals 360 degrees.

consider a separation performed on a 35.0 mm long open tubular colum with a 0.500 mm diameter and a 2.0 μ m thick stationary phase. compound a eluted at 12.63 min and compund b eluted at 13.30 min. a compund known not to be retained at all by the stationary phase eluted at 1.145 min. calculate the relative retention.

Answers

The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

Learn more about relative retention at

https://brainly.com/question/14983454

#SPJ4

Am I a function? Explain how you know it is or isn't a function.

Answers

Answer:

Function.

Step-by-step explanation:

This graph is a function because all points on the line are different and do not intersect. (vertical line test)

Hope it helped!

It’s a {function}. If you draw a line in the middle it wouldn’t be touching its self so therefore the graph is a function.

Alexis’s restaurant bill is 58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay

Answers

Answer:

The answer is $11.60

Step-by-step explanation:

The scale of a map is 1 inch : 12 miles. The distance on the map between zionsville and lafayette is 8 inches. what is the actual distance, in miles, between zionsville and lafayette?

Answers

Answer: 96

Step-by-step explanation:

Answer:

You are correct! The actual distance, in miles, between Zionsville and Lafayette is 96 miles. This is calculated by multiplying 8 inches (the distance on the map) by 12 miles (the scale of the map), which results in 96 miles.

Is there an AP Statistics formula sheet?

Answers

The AP Statistics formula sheet is illustrated below.

An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.

The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.

It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.

In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.

To know more about statistics here.

https://brainly.com/question/29093686

#SPJ4

PLEASE HELP ME!
Question in image. Thank you

Answers

The correct options for the given polynomial are:

NEG/EVENas x goes to ∞, f(x) goes to -∞as x goes to -∞, f(x) goes to -∞

How to identify the end behavior of the polynomial?

To analyze the end behavior of a polynomial we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12, so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

NEG/EVEN

That means that in both ends the polynomial tends to negative infinity, so:

as x goes to ∞, f(x) goes to -∞as x goes to -∞, f(x) goes to -∞

Learn more about end behavior at:

https://brainly.com/question/1365136

#SPJ1

A manager's salary of N600 is increased by 12%. What is his new salary?​

Answers

Answer:

672

Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer

Evaluate 6k − j2 + 2k ÷ l when j = 5, k = 12, and l = 3.

Answers

The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

6k − j^2 + 2k ÷ l

now, we have to simplify the given expression, using multiplication , division, addition & subtraction , as per the BODMAS rule.

so, we get,

6k − j^2 + 2k ÷ l

when j = 5, k = 12, and l = 3.

putting the values, we get,

30 - 25 +24 /3

=30 -25 + 8

=5+ 8

=13

Hence, The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ1

how to convert 145kg to lbs?

Answers

The converted value of measuring mass 145 kilograms to pounds is equal to 320 pounds ( round off to near pounds )

Required converted units kilograms and pounds are used to measure the mass of the objects.

Standard relation between kilograms and pounds are :

One kilograms is equal to 2.20462 pounds

Now substitute the required converted value 145 kilograms in the above standard relation we have ,

⇒ ( 1 × 145 ) kilograms = ( 145 ) ×  ( 2.20462 ) pounds

⇒ 145 kilograms = 319.67 pounds

⇒ 145 kilograms = 320 pounds ( round off to near pounds )

Therefore, after conversion of mass unit kilograms into pounds is given by  145 kilograms = 320 pounds ( round off to near pounds ).

learn more about pounds here

brainly.com/question/29181271

#SPJ4

A shipping container is in the form of a right rectangular prism, with dimensions of 35 ft by 8 ft by 7 ft 6 inches. How many cubic feet of shipped goods would it hold when it is full? Round your answer to the nearest tenth if necessary.

Answers

Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer: x = -11

Step-by-step explanation:

[tex]\frac{-x+10}{3} = 7[/tex]

⇒-x+10 = 7x3
⇒-x+10 = 21
⇒-x = 21-10
⇒-x = 11
∴ x = -11

Its in the form of a picture

Answers

The area of the given composite figure is the sum of the areas of triangles and the area of the rectangle, which is 11 sq. units.

What is a composite figure?

Geometric figures can be combined from two or more separate geometric figures. A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. The total of the individual areas will represent the composite shape's area.

The given composite figure can be divided into the shapes given below.

There are 3 right triangles and one rectangle.

The sum of the areas of each shape makes the area of the given composite figure.

Δ ARC

base RC, b = 3

Height AC, h = 4

Area = 1/2 * b * h = 1/2 * 3 * 4 = 6 sq. units.

Δ RST

base RS, b = 2

Height ST, h = 2

Area = 1/2 * b * h = 1/2 * 2 * 2 = 2 sq. units.

Δ BCK

base BK, b = 1

Height BC, h = 2

Area = 1/2 * b * h = 1/2 * 1 * 2 = 1 sq. units.

Rectangle SCBT

length l = 2

Breadth b = 1

Area = 2 * 1 = 2 sq. units

Therefore the area of the given composite figure is = 6 + 2 + 1 + 2

                                                                            = 11 sq. units

To learn more about composite figures, follow the link.

https://brainly.com/question/21135654

#SPJ1

Add <5, -2> + <-4, 8>
O a
ОБ
Od
<1,6>>
<9, -6>>
<-9, 10>
<3, 4>

Answers

Answer:

<1,6>

Step-by-step explanation:

We are adding vectors.  Add the first components together.  Then add the second components together.

<5, -2> + <-4, 8>

< 5+-4, -2+8>

<1,6>

on a unit circle θ=pi/2 radians. identity the terminal point and sin θ

Answers

Answer:

A.

Step-by-step explanation:

Answer A. sin(pi/2)=1, and because it is orthogonal to the x-axis, the x value is 0.

Find the missing values of the kite

Answers

Answer:

m∠1=46°

m∠2=44°

m∠3=44°

m∠4=90°

m∠5=73°

m∠6=17°

m∠7=17°

Eren constructed a rectangular paper box with a volume of 180in. His box has a length of x inches, a width of 5 inches less than its length, and a height 2 inches more than its length. What is the length of the box?

Answers

The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.

We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get

[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).

After rearranging, we get

[tex]l^3 - 3l^2 - 7l - 180[/tex] = 0.

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

Learn more about Rectangles:

https://brainly.com/question/25292087

#SPJ4

Other Questions
What is called, the process of treating a substance with heat to destroy or slow the growth of pathogens The assignments in our class are based off of which learning strategya) elaborationb) interleavingc) retrieval practiced) spaced practice How many presidents were there during WW1? onsider the following pair of points.(0,10) and (1,3)Step 1 of 2 : Determine the distance between the two points. who is responsible for connecting with the client? What are the slowest months for home sales? What Is carboxylic acid used for? A small topographic map contains only the following contour lines (in meters): 40, 50, 60, 70, 80, 90 What is the relief of the map, in meters? Do not include units, only numbers In Safari, what will be displayed if the grid icon is selected?answer choicesbookmarkshistorytop sites visitedfavorites Explain the present value concept by completing the following sentence:A person can use the present value concept to calculate how much money he has to invest (today, tomorrow) in order to have a specific sum of money in the (present, future). Why did Hitler find support in Germans What was film noir influenced by? cocci which divide along alternating planes may stick together to form _____. what is the definition of inventory? inorganic compound created by the removal or replacement of one, two, or all three hydrogen atoms in phosphoric acid; used in fertilizers and detergents and is a major cause of water pollution Who could try to tell me / I wasn't beautiful.The magic / in something as once ordinary/as hair/ that for too long / had not beengood enough / now winged and amazing /now connectedto a long line of crowns.What does using the word "crowns" suggestabout the speaker?AShe feels like royalty because of hernew hairstyle.whichoran what is the activation energy definition ? Amy is a seventh grader at Lawrence Middle School. Describe four ways that Amy uses fossil fuels in her everyday life. Fill The Blank! environmental disasters have spurred an increasing push toward ________. Why is interest an operating expense?