Answers
Answer:
73 cm²
Step-by-step explanation:
Areas and volumes of composite figures are found by dividing the figure into shapes you have formulas for. Sometimes that will be a sum of shapes, and sometimes it will involve the difference of shapes.
__
setupThis shape can be decomposed into two rectangles by extending the horizontal line. (This is the dashed line shown in the attachment.)
The width of the top rectangle will be the sum of the lengths of the labeled horizontal segments:
4 cm + 5 cm + 3 cm = 12 cm
The height of the top rectangle, and the dimensions of the bottom rectangle (square) are shown in the given figure.
The area of each rectangle is the product of its width and height.
A = WH
__
solutiontop rectangle area = WH = (12 cm)(4 cm) = 48 cm²
bottom rectangle area = WH = (5 cm)(5 cm) = 25 cm²
Area = top rectangle area + bottom rectangle area = (48 cm²) +(25 cm²)
Area = 73 cm²
The area of this composite shape is 73 cm².
_____
Additional comment
The figure will fit into a rectangle that is 9 cm high by 12 cm wide. From that rectangle, a rectangle 5 cm high and 4 cm wide is removed from the lower left, and a rectangle 5 cm high and 3 cm wide is removed from the lower right. Figuring the area this way, we find it to be ...
figure area = bounding rectangle area - removed areas
= (9 cm)(12 cm) -(5 cm)(4 cm) -(5 cm)(3 cm) = 108 cm² -20 cm² -15 cm²
= 73 cm²
Related Questions
Find the area of the shaded region round to the nearest tenth
Answers
Answer: 818.4
Step-by-step explanation:
Using the area of a sector formula, we get the area of the entire sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)[/tex].
Using the formula [tex]A=\frac{1}{2} ab \sin C[/tex], we get the area of the triangle is [tex]\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})[/tex].
So, the area of the shaded sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}[/tex]
Select the correct answer.
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
+3(41)
7+2³
Step 1: =
=
+ 3(3) - 7 + 23
Step 2:
=
+3(3) - 7 + 8
Step 3: =
(3) - 7+8
Step 4: =
Step 5: = 31+8
Step 6: =
= 47
A.
Step 4
B.
Step 1
C.
Step 5
D. Step 3
Answers
The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The question is incomplete.
The complete question is in the picture please refer to the picture.
We have given an arithmetic expression:
[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]
Step 1:
[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]
Step 2:
[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]
Step 3 should be:
[tex]=\dfrac{9}{2}(3)-7+8[/tex]
The mistake made in the step 3
Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,
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the diameter of a cone is 15 meters, the height is 1.5 times the radius, what is the volume?
Answers
Answer:
V ≈ 662.68
Step-by-step explanation:
15 div by 2 = 7.5 (Radius)
7.5 x 1.5 = 11.25 (height)
Pi x 7.5^2 x 11.25/3
= 662.68
Karen pays $487.56 for a company luncheon. This included a 16% gratuity. Karen needs to report the cost of the lunch without the gratuity to receive a reimbursement from her manager. How much was the cost of the luncheon without the gratuity?
(Please show how to solve it)
Answers
Answer: $409.55
Step-by-step explanation:
100% - 16% = 84%
84% of 487.56 = 409.5504.
Round to nearest hundredth.
$409.55
Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.
Answers
Answer:
second option
Step-by-step explanation:
5 newton pushing it to the right
while a mere 4 newton pushing it to the left
more force pushing towards right
This would be the answer because there are 5 newtons forcing the given object to the right while there are 4 newtons forcing the object to the left. Because 5 is greater than 4, the object would accelerate to the right in this model with 1 newton more of force than it would to the left.
Change each value of the quadratic equation. How does it change the graph?
Answers
Answer:
ty for points bye bye ok bye
Solve 4|3x-1| + 3 > 11.
Answers
4|3x-1| + 3 > 11
4|3x-1| > 11-3
4|3x-1| > 8
|3x-1| > 2
3x-1>2 or 3x-1<-2
3x>2+1 3x<-2+1
3x>3 3x<-1
x>1 x<-1÷3
Solution: ]-♾️ , -1÷3 [ U ] 1,+♾️ [
Which solids have a round base? Select two options.
cone
cone
cylinder
cylinder
pyramid
pyramid
sphere
sphere
cube
Answers
PLS HELP!!! 80PTS PHOTO ATTACHED
Answers
The answer is no solution.
ANSWER PLS!!!!!!!!! with exact explanation. not just only the answer
Answers
Answer:
12,500,000
Step-by-step explanation:
2^5 = 2×2×2×2×2 = 32
5^8 = 5×5×5×5×5×5×5×5 = 390625
32×390625 = 12,500,000
Hope you understood and brainliest please
Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS
Answers
mplete the solution of the equation. Find the
ue of y when x equals 0.
- 3x + 2y = -4
Enter the correct answer.
18
DONE
all
000
+?
Answers
Answer:
-2
Step-by-step explanation:
If x=0
-3(0)+2y=-4
-0+2y=-4
We can say
2y-0=-4
2y=-4
Dividing both side by 2,
y=-2
Flying against the wind, an airplane travels 4620 kilometers in 7 hours. Flying with the wind, the same plane travels 8640 kilometers in 8 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.
What is speed?Speed has the dimensions of distance divided by time.
Let Speed of airplane be x km/h and Speed of Wind be y km/h
Speed direction of wind (x+y)
Speed in opposition of wind (x-y)
Now, using speed x time= distance
7( x-y)=4620
(x-y)=4620/7
=660------------------(1)
Similarly,
8(x+y)=8640
(x+y) =8640/8=1080-----------------------(2)
Adding (1) and (2)
2x=1740
x=870 km/h
Subtracting (1) from (2)
2y=420
=>y=210 km/h
So rate of airplane =870km/h
rate of wind=210km/h
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1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m
Answers
The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
SolutionNote that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
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Answer with an algebraic equation too!!
Four years from now the combined ages of a set of twins will be 50. How old are they now?
Answers
Answer:
The twins are 21 years old right now.
(x+4) + (x+4) = 50
Step-by-step explanation:
Let x = the current age of one of the twins.
They are twins, that means they are the same age. So the other twin is also x years old.
In four years, the age will be x+4.
Both of them together will be:
(x+4) + (x+4)
The question says that total (of their ages in 4 years) will be 50.
(x+4) + (x+4) = 50
Combine like terms.
2x + 8 = 50
Subtract 8.
2x = 42
Divide by 2.
x = 21
The twins are currently 21.
To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!
A survey asked 20 mobile phone dealers how many mobile phones were sold during the previous week. Their answers are displayed in the Box-and-Whisker Plot and the Stem-and-Leaf Plot shown. Which graph can be used to find the mode? What is the mode of the data set? A. Stem-and-Leaf Plot, Mode: 34 B. Stem-and-Leaf Plot, Mode: 42 C. Box-and-Whisker Plot, Mode: 43 D. Box-and-Whisker Plot, Mode: 38
ASAP 100 POINT AND BRAINLIST
Answers
The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
What is a Stem-and-Leap Plot?
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
MinimumFirst QuartileMedian (Second Quartile) Third Quartile; andMaximum.It is to be noted that referenced plots are not indicated hence, the general answer.
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The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
What is a Stem-and-Leap Plot?
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
Minimum
First Quartile
Median (Second Quartile)
Third Quartile; and
Maximum.
It is to be noted that referenced plots are not indicated hence, the general answer.
Learn more about Stem-and-Leaf Plot at:
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Find the slope of the line passing through the points -2,7 and -6,3
Answers
Answer: the slope is 1
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 7-3 / -2+6
m = 4/4
m=1
Find p.
30°
O
60°
7 in
Answers
Answer:
p = 14 inches
Step-by-step explanation:
using either the sine or cosine ratios
using the sine ratio and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{p}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
p = 14
Hey! Could someone help me with this question as quick as possible? Hope everyone is having a great day/night.
Answers
The radius of a cylinder is $5/6$ its height. find the total surface area of the cylinder if its volume is $150\pi.$
Answers
Answer:
Total surface Area =1135.34 to 2.d.p
Step-by-step explanation:
A school has 600 pupils. 1/5are in the upper school, 1/4 in the middle school and the remainder in the lower school. How many pupils are in the lower school?
Answers
Answer: 330 pupils
Step-by-step explanation:
the number of pupils are in the lower school
= (1- 1/5 - ¼) × 600
= (20/20 - 4/20 - 5/20)×600
= (11/20) ×600
= 330 pupils
PLEASE HELP ILL MAKE YOU THE BRAINIEST
write the ratio for sin A
Answers
Sin(A)= 8/17
Answer:
In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is
Answers
well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.
[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
student in my class?
in my class?
How many servings of fruit did
I eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answers
Answer:
Which questions are statistical questions?
what is the number of students what is the height of each in my class?
how many servings of fruit did eat each day this month?
what is my height?
what is the highest temprature
of each month this year?
how many students from each school in this city love football?
Step-by-step explanation:
Need to include numerical values
hope this helps!
if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw
Answers
Answer:
what comprise horn of africa
Can someone pls help me with this? I will mark someone who does it for me pls.
Answers
Answer:
si quroma mande' cromo jajaja
Step-by-step explanation:
B= 9 feet (3•3)
C= 6 feet (3•2)
D= 9 feet (3•3)
E= 6 feet (3•2)
F= 6 feet (3•2)
Total= 42 square ft
If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
What are trigonometric functions?Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
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Please help me with this question!
Answers
The steps are shown on the screenshots as well.
The trig ratios used were sine and tangent
sine = opposite/hypotenuse = opp/hyptangent = opposite/adjacent = opp/adjMake sure your calculator is in degree mode.
f (10) = 10/2 = 5 . how to solve this problem
Answers
Answer:
f(10) means to input x = 10 into the function.
From inspection of the given function:
[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]
the "10" is the numerator of the fraction.
Therefore, swap the "10" for "x" to give the function in terms of x:
[tex]\sf f(x)=\dfrac{x}{2}[/tex]
For a function
f(x)=yx is the input or domain
y is the output or range
Here
f(10)=10/2So
x=10
y=10/2
Hence the function is
f(x)=x/2If two sides of a triangle are 10 cm and 6 cm long, which of the
following cannot be the perimeter of this triangle?
Answers
Answer:
J
Step-by-step explanation:
To find perimeter we add. 10+6 is 16. The third side has to be much bigger than this. So, J is the answer and J is 19 which wouldnt make sense as the length of the third side.