Find the area of the composite figure.

A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192

Find The Area Of The Composite Figure.A: 96.75 Units2B: 112.5 Units2C: 139.5 Units2D: 192

Answers

Answer 1

The area of the composite figure from the image attached is 112.5 units²

What is the area of a composite figure?

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

A parallelogramA rectangleA triangle

The area of a parallelogram = b × h

where;

b & h refers to the length of the two opposite diagonal lines.

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

Base = b Height = h

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

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Related Questions

what is the volume of the cylinder when the height is 13m and the radius is 10m

Answers

V≈ 4084.07m³ is the answer

find the value of x to the nearest tenth

Answers

Answer:

27

Step-by-step explanation:

So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.

  According to SOHCAHTOA,

sin=opp/ hyp

sin 64°=x / 30

Cross- multiply, then

x= 30 × sin 64°

x= 26.963

x= 27.0(nearest tenth)

Find the surface area of this figure.

Answers

Answer:

66550000000 in.²

Step-by-step explanation:

22³in x 10⁴in x 5⁴in = 66550000000 in

Find the missing sides (pls)

Answers

Across any line is 180 degrees. To opposite angles have the same value.
153 is 180-27. So c and b equal 153.
This make since angle looks more than 90 (corner of paper)
Mark as best!

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?

Answers

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

What is a rectangle?

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

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Question 8 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
O A. What may be false
O B. None of these
O C. What may be true
O D. What must be true

Answers

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

What 2x4
Beacuse I need help on how to soulf it

Answers

Answer:

Its 8

Step-by-step explanation:

Suppose a 8-year loan for principal amount
$8500
was taken out. Over the life of the loan
$3400
was paid. If interest did not compound, what was the interest rate per year?

Answers

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

find the equation of a straight line which is parallel to the line with equation 5x+7y=14 and passes through a point (-2,-3)​

Answers

Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31

what is 7/5 as a simple thing?

Answers

In decimal form: 1.4
In mixed number form: 1 2/5

Please Help !!! The figure below is made of 2 rectangular prisms.

Answers

Answer:

124

Step-by-step explanation:

4*5*3

+

2*4*8

=124

Formula for volume of a rectangular prism is base x height.

4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!

Answers

The system of equations of the number of bottles in both classes has two distinct equations

Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

How to solve the system of equations?

The given parameters are:

Mr. Sanchez = $1.73

Mr. Kelly = $1.44

Represent the number of bottles in both classes with x and y,

So, we have the following equations

1.73x + 1.44y = 130.83

x + y = 83

Next, we plot the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (39,44)

Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

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Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)

Answers

Here is how it is graphed:


If an investment has a 5% annual interest rate and it is compounded
monthly, how many years will it take to double in value?

Answers

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans

Answers

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?

Answers

How much time do seniors at a school spend playing sports? (option A)  is a statistical question.

What is a statistical question?

A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.

In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."

A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.

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#SPJ1

on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answers

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

How to determine the points?

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

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In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?

Answers

Answer: 244 degrees

Step-by-step explanation:

Simplify the expression.

Answers

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school

Answers

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.

Answers

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

More about the statistics link is given below.

https://brainly.com/question/10951564

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

Perimeter = 2W + 2L  Area = W x L

(where W is the width and L is the length)

Given information

width = 2x + 1length = 5x - 2

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

Answers

Answer:

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

A-18x+15

F(X)=2(X-1)^2-4 in standard form

Answers

Answer:

[tex]f(x)=2x^2-4x-2[/tex]

Step-by-step explanation:

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]

how this is hard and im hating this right now :/

Answers

Answer:

[tex]\boxed{\dfrac{y}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

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

[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

Simplifying the expression using "a ÷ b = a x 1/b"

[tex]\rightarrow \dfrac{1}{x} \times y[/tex]

[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

9. (1,3); y+2=4(x-1)

Answers

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

What is the volume of this triangular prism?

Answers

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Classify each polynomial by degree and number of terms. 1. Quartic monomial v 5x? - 7x + 9 2. Cubic binomial 2x3 + 3 < 3. Quadratic trinomial < 8x4 4. Quintic quadnomial​

Answers

The degree of a polynomial is categorized by its highest power of its leading variable.

Degree and number of terms of a polynomial

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

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You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00

Answers

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

Your answer is..:

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

who can help me with my math

Answers

Step-by-step explanation:

I am always available to help, post your worry

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