The composite figure is made up of three simpler shapes. What is the area of the figure?
Please explain how you got your answer, please.
Answers
Answer:
C) 55 cm^2
Step-by-step explanation:
(12x3)+(8x2)+(1/2)(3)(2) = 55
The area of composite figure is 55 square cm .
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of triangle[tex]A = \frac{1}{2}bh[/tex]
Where,
A is the area of triangle
b is the base of the triangle
h is the height of the triangle
Formula for the area of parallelogramA = b × h
Where,
A is the area of parallelogram
b is the base of parallelogram
h is the height of the parallelogram
Formula for the area of rectangleA = length × breadth
According to the given figure
Composite figure is made up of triangle, rectangle and parallelogram
Also,
Height of triangle = 3cm
Base of the triangle = 2cm
length of the rectangle = 8cm
breadth of the rectangle = 2cm
Height of the parallelogram = 3cm
Base of the parallelogram = 12cm
Therefore,
Area of triangle = 1/2 × 3 ×2 = 3 square cm
Area of rectangle = 2 × 8 = 16 square cm
Area of parallelogram = 12 × 3 = 36 square cm
Therefore,
Area of the composite figure = area of triangle + area of parallelogram + area of rectangle
⇒ Area of composite figure = 36 + 16 + 13 = 55 square cm.
Hence, the area of composite figure is 55 square cm .
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Related Questions
Solve for m.
— 5т.
-35
Answers
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours
Answers
Answer:
b.5 hours
520-195=325
325/65=5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
........................ .....
i will give you are brainliest if you answer answer question 36 and 37
Answers
Answer:
36) A, 396
37) D, 114 km per lit
Step-by-step explanation:
36) 404 - 8 = 396
37) 112 / 8 = 14
The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.
Answers
W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.
Mark as brainlist
Out of some students appeared in an examination,
80% passed in English, 75% passed in Science and
5% failed in both subjects. If 300 of them were
passed in both subjects, how many students were
appeared in the examination? Find it by using a
Venn-diagram
(Ans: 500
Answers
Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
Helppppp I willl give u the brainlest!!!!!
What is the diameter, radius, 2, and circumference?
12 in
d-
pan2
Circumference
Answers
Answer:
diameter is 4
Step-by-step explanation:
A woman buys a pair of shoes at a sale. She pays $45, saving
$15 on the normal price. The percentage discount on the pair of shoes is
Answers
Answer:
33.3%
Step-by-step explanation:
PLEASE HELP ME QUICKLY!! The graph shows the number of eggs a farmer collected from each chicken pen one morning. How many more eggs were collected from pen 3 than from pen 2 & 5? (Each egg = 5 eggs)
Answers
Answer:
Pen 2 = 5 eggs
Pen 3 = 25 eggs
Pen 5 = 10 eggs
It is asking how many MORE eggs does pen 3 have from BOTH pens 2 and 5. Add 2 and 5. But remember one egg = 5 eggs so as stated in the beginning pen 2 has 1 egg which equals 5 eggs and pen 5 has 2 eggs which equals 10.
5 + 10 is?
15, exactly. So how many more eggs does pen 3 have? 15 + one more egg is 20 and pen 3 has 25 which is more than 20 so let’s add another egg which again equals 5.
Now we have 25 eggs, the exact amount pen 3 has. The answer is 2 more eggs/10 more eggs.
Step-by-step explanation:
What is 50% of 20?.........................
Answers
Answer:
10
Step-by-step explanation:
50%, or 1/2 of 20 is 10.
Answer:
10!
Step-by-step explanation:
50% is half, so half of 20 is 10!
is 17.61 rational or irrational
Answers
Answer:
It is an Irrational Number
The seat of a bench is in the shape of a trapezoid with bases of 6 feet and 3 feet and a
height of 1.5 feet. What is the area of the seat?
The area of the seat is
ft.
Answers
Answer:
6.75 ft^2
Step-by-step explanation:
The area of the seat can be calculated as follows
a + b/2 × h
6+3/2 × 1.5
9/2 × 1.5
4.5× 1.5
= 6.75 ft^2
Hence the area of the seat is 6.75ft^2
work out the value of x
Answers
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
I hope it's helpful!
Help me this is due today!!!!!!!!
Mr. Dyer left a $12.60 tip at a restaurant. This represented 18% of his family’s dinner bill. What was the amount of the family’s dinner bill?
Answers
Answer:
$70
Step-by-step explanation:
$12.60 / .18 = $70
I hope this is right, but I am thinking it is since you have to multiply by .18 to get the tip value.
Martin jogged 45 minutes everyday for 21 days how many minutes did he jog over the 21 days
Answers
45x21= 945
Hope this helps! :)
Answer:
45(21)=945 Minutes
Step-by-step explanation:
You multiply 45 minutes for everyday. Since there is 21 days you multiply by 21. So you do 45(21).
You and two friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $70,
how much does one regular price ticket cost? Write the equation.
Solve the equation
Answers
Which of the following relations is a function?
{(-2,0),(-1,0),(0,1),(1,0)}
{(0,-2),(-1,1),(1,-1),(0,1)}
{(-1,-1),(-1,0),(-1,1),(0,-2)}
Answers
help read the instructions first
Answers
Answer:
Step-by-step explanation:
Find attached the second one
helllllllp PPPLZZZZZZZZZZ
Answers
Answer:
b because the overall problem has a little four witch makes all those numbers in the problem multiplied by 4
Step-by-step explanation:
12 km What is the length of the hypotenuse?
Answers
Answer:
We need the picture of the shape. The hypotenuse it the longest side. Usually it gives you the hypotenuse. Message me if you need some help.
Step-by-step explanation:
PLEASEEEEE HWLP 10 points hehehheh
Answers
Answer:
just count the blocks inside the blue line
35
Area of the rectangle**
detrmine if 7, 5, 84, 48 are in proportion or not
Answers
Answer:
No, the numbers are not in proportionStep-by-step explanation:
The proportion between the first two and the second two numbers are:
7/5 and 84/48Simplifying the second fraction:
84/48 = 7*12/4*12 = 7/4Comparing the fractions:
7/5 ≠ 7/4The answer is no
Please answer these questions on circumference for BRAINLIEST and extra points if correct!
Answers
Answer:
1 a: 1.46
2 a : .73
3 a : 1.54
____
1 b: 9.42
2 b: 2.9
3 b: 16.96
- I hope that helps :)
Step-by-step explanation:
Bill put $1000 into a simple interest saving account that earns 6.25% interest. How much will
the account be worth in 5 years?
Answers
Answer:
1,800
Step-by-step explanation:
divide 1,000 by 6.25 and we get
160 then we multiply 160 by 5 and we
get 800 so Bill's Bill's bank account will be worth
1,800 in 5 years
To cut a 4 inch ribbon into 7 equal
Lengths what would be the length of each ribbon after cutting
Answers
Answer:
0.5714285714
Step-by-step explanation:
4/7 = 0.5714285714
the measure of an angle is 177.5 what is the measure of its supplementary angle
Answers
Answer:
yes yes yes yes yeah yes yes yes yes
Step-by-step explanation:
the. yes gods will take over earth
A rectangular field 50 metres wide and x metres long required 260 metres of fencing
Answers
Answer:
x=80
Step-by-step explanation:
im going to assume this is perimeter.
50+50=100
260-100=160
160÷2=80
Answer:
5.2 metres in length I think
Step-by-step explanation:
you didnt exactly put a question, but this seems like a problem where you have to divided the volume by the width to find the length, so 260 divided by 50 is 5.2. I apologize if it is wrong, like I said, there wasn't a question so i was confused.
Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules
Answers
Answer:
-3,9
30
Step-by-step explanation:
Edge 2021
The displacement is (-3, 9)
Work done= 30 Joules
What is vector?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given:
F= (-1, 3)
point (3, -9)
So, displacement from origin to (3, -9)
d= (0-3, 0-(-9))
d= ( -3, 9)
Work done = F. d
= 3 + 27
= 30 joules.
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Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
Answers
Answer:
R'(-5, -1) S'(-1, -1) T'(-1,-6)
Step-by-step explanation:
because the triangle is moving to the left, you subtract the number of units from the x coordinates of each vertex of the triangle. becasue the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex.
Draw a graph of Andre’s distance as a function of time in this situation.
Answers
Answer: it is the variable
Step-by-step explanation:
In ΔSTU, s = 150 cm, t = 430 cm and u=470 cm. Find the measure of ∠U to the nearest degree.
Answers
Answer: 96∘
Step-by-step explanation:
The measure of angle U is 96°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
s = 150 cm
t = 430 cm
u = 470 cm
The Cosine rule of a triangle.
a² = b² + c² - 2bc Cos A
Now,
u² = s² + t² - 2st Cos U
Cos U = (s² + t² - u²) / 2st
Cos U = (22500 + 184900 - 220900) / 129000
Cos U = -0.10
U = 95.7
U = 96°.
Thus,
The angle U is 96°.
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