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 .
Learn more about area here:
https://brainly.com/question/27683633
#SPJ2
Related Questions
Find all the zeros and their multiplicities for the function. d(x)=x^3+3x^2-4x-12
Answers
Step-by-step explanation:
1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).
2) zeros of the given functions are: -3; -2; 2.
The lightest puppy in a litter weighs 12 ounces, which is
4/7
of the weight of the heaviest puppy.
The equation
4/7
w = 12 can be used to find the weight w in ounces of the heaviest puppy.
How much does the heaviest puppy weigh?
Answers
Answer:
46 pounds
Step-by-step explanation:
Answer:
21 pounds
Step-by-step explanation:
I RESLLY NEED THIS NOW
The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent
represents the annual interest rate on the loan? Record your answer on the grid.
Answers
1
Rectangle RSTU is reflected across the y-axis to form rectangle R'ST'U'.
Y
.
R
S
7
3
2
2
1
-1
-2
U
T
-
Which statement is NOT true?
A
The corresponding angles of rectangle RSTU and rectangle R'ST'U' are
congruent.
B
The perimeter of rectangle RSTU is greater than the perimeter of rectangle
R'S'T'U'.
с
The corresponding sides of rectangle RSTU and rectangle R'S'T'U' are
congruent.
D
Rectangle RSTU is similar to rectangle R’ST'U'.
Answers
Answer:
c
Step-by-step explanation:
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction The z statistic for this data is __________. -0.56 0.45 -0.45 0.56
Answers
Answer:
0.56
Step-by-step explanation:
RATIONALE
To make things a little easier, let's first note the denominator
We can now note that
Finally, subbing all in we find
Answer:
0.56
Step-by-step explanation:
ALGEBRA 1 PLS HELP ASAP
Answers
Can somebody help me?
Answers
Is anyone smart enough to answer this correctly?
Answers
Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️
Simplify completely''''
Answers
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]Nathan buys 8 bottles of iced tea at the grocery store. He has coupons for $0.35 off the regular price of each bottle. After using the coupons, the total cost of the drinks is $7.20.
Which equation can be used to find the regular price, p, of each bottle of iced tea?
Answers
Answer:
$1.25
Step-by-step explanation:
0.35 x 8 = 2.80
7.20 + 2.80 = 10
10 divided by 8 = 1.25
Thank you :)
The equation that can be used to determine the regular price of iced tea is p = 1/8($7.20 - $2.80).
Description of couponsCoupons reduce the price of an item. An item becomes cheaper when coupons are used. Thus, Nathan would buy the iced teas at a cheaper price as a result of the coupons.
Equation that represents the regular price of the iced tea.Discounted price = regular price - discount
$7.20 = p - ($0.35 x8)
$7.20 = p - $2.80
p = $7.20 - $2.80
Price of each bottle = p = 1/8( $7.20 - $2.80)
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
Use the drop-down menu to identify what each label shows.
Answers
Answer:
please put a picture so i can awnser
Step-by-step explanation:
Answer:
where is the picture ?
Step-by-step explanation:
Divide 4/5 * 1/10
Blank 1:
Answers
Reciprocal of
1
10
:
10
1
Now, multiply it with the dividend
So,
4
5
÷
1
10
=
4
5
×
10
1
=
4 × 10
5 × 1
=
40
5
After reducing the fraction, the answer is
8/1
Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.
Answers
Answer:
17 mphStep-by-step explanation:
Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speedSubstitute values and solve for r the equation of the time difference:
68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17Raul's speed is 17 mph
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:let's the speed of Raul be x
likewise
Miguel can drive 4 times as fast as Raul can ride his bicycle
therefore
4x
according to the question
[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]
[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]
[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]
[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]
[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]
[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]
the square root of a number increased by 9 is 27 find the number
Answers
Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
write 7% as a Vulgar fraction
Answers
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
58 + 18 =
78-58=
335+415
Answers
Answer:
78
20
750
Step-by-step explanation:
what does m represent in the equation y = mx+b?
Answers
Answer:
In the equation y = mx + b for a straight line, the number m is called the slope of the line
Step-by-step explanation:
What’s 8367 divided by 7
Answers
Answer:
1195.28
Step-by-step explanation:
We have a division problem which is 8,367 ÷ 7.
When it comes to division, you always look at the first number that is being split equally by the second number.
Follow the steps of the division problem :
Find how many times 7 goes into 8 :
7 * 1 = 7
Subtract 7 from 8 :
8 - 7
1
We have 1 in our thousands place, move down the number next to 8 in 8367 which is 3, and see how many times 7 goes into that number :
13
7 * 1 = 7
Therefore 7 only goes in once, put 1 next to 1 on top of the division problem, subtract 7 from 13 :
13 - 7
6
Move the 6 down from 8367 and see how many times 7 goes into that :
7 * 9 = 63
Subtract 63 from 66 :
3
Put 9 next to the one, as for now we have 119, now bring down the last value in 8367 and see how many times 7 goes into that :
37
7 * 5
35
Subtract 37 - 35 :
2
Therefore, our answer is 1195.28 , 1195 Remainder 2
Step-by-step explanation: The result of 8367/7 is a non-terminating, repeating decimal. The repeating pattern above, 285714, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 8367/7 = 1195.(285714): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 8367 / 7 = 1195.285714… .
8367 divided by 7 in decimal = 1195.285714
8367 divided by 7 in fraction = 8367 divided 7
8367 divided by 7 in percentage = 119528.57142857%
If it is okie can i have brainliest? it took me a while to write all of this.=3
Thirty-seven is less than the difference of seven and ten times a number.
Answers
Answer:
37< 10x-7
Step-by-step explanation:
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answers
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3You go to a restaurant with 4 friends (total of 5 people), and decide to spli
the bill evenly. What portion of the bill are you responsible for?
Answers
There is 4/5 pound of paper clips to share equally with 3 employees. What amount of paperclips will each employee receive?
Answers
Answer: 4/15
Step-by-step explanation: 4/5 divided by 3 is the same as 4/5 times 1/3 wich is the reciprocal of 3
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answers
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
3 bags of takis and 2 bags of doritos cost $17. 3 bags of dortios cost $12. How much does 1 bag of takis cost?
Answers
Answer:
$3.00
Step-by-step explanation:
3t + 2d = 17
3d = 12
d = 4
3t + 8 = 17
3t = 9
t 3
Answer:
A bag of takis is $3
Step-by-step explanation:
3 bags of doritos at $4 a piece
$17-$8=$9
$9/3=$3
Mr. Ryan had 8 meters of cable. He used 300 centimeters to hook up the television in his living room. Then he used 400 centimeters to hook up the television in his office. How many meters of cable did Mr. Ryan have left?
Answers
Answer:
1 meter left
Step-by-step explanation:
100 cm makes up a meter so 300 + 400 is 700 which is 7 meters so he has 1 meter left
Answer:
Mr. Ryan has 1 meter or 100 centimeters ethier (answer is correct)
Step-by-step explanation:
How many meters of cable did Mr. Ryan have left?
Let's start here with that for every meter(m) there is 100 centimeters(cm) so in other words 1 meter = 100 centimeters
300 cm=3 m 400 cm=4 m
3m+4m=7m 300cm+400cm=700cm
__________________________________________________________800cm-700cm=100cm
8m-7m=1m
Find the missing number:
Answers
Answer:
20%
Step-by-step explanation:
Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:
1 × 1.25 = 1.25 units.
Now, to get back to 1 unit, we need to find:
1.25 × ? = 1
? = [tex]\frac{1}{1.25}[/tex] = 0.80
So, 100% - 80 % = 20%
A 20% decrease.
Not completely sure though.
Find angle picture below
Answers
Answer:
72
Step-by-step explanation:
have a great day
Use intercepts to graph the linear equation
-2 + 2y = 7.
Answers
Answer:
2y=7+2
2y=9
y=9/2
4.5
i hope to help you
Write the exponent for 4^? = 64 What number is the question mark? *
Answers
As 4^3 = 64
4x4x4= 64
pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?
A.
8
3
5
miles
B.
8
3
4
miles
C.
9
1
8
miles
D.
9
1
2
miles
Answers
Answer:
the answer isnt on there it would be 870 miles
Step-by-step explanation:
Answer:
c.
Step-by-step explanation: