Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
Answers
The surface area of the composite figure is 444m²
Given a composite figure which is shown in the question.
The area of a shape (in square units) is the number of unit squares required to cover the entire area without gaps or overlaps. If a hologram has planes, those faces are called faces. Area is the sum of the areas of the faces.
Firstly, we will find the area of front and end triangles by using the formula
Area=(1/2)×b×h and we will multiply this area by 2 because we are finding the area of two same triangles.
Here, h=6 and b=16 and substitute these values in the formula, we get
A₁=2×(1/2)×16×6
A₁=2×8×6
A₁=96m²
Now, we will find the area of the left and right side rectangles which joined both the triangles.
We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.
here, l=10 and b=5 and substitute these values in the formula, we get
A₂=2×10×5
A₂=100m²
Further, we will find the area of the front and end side rectangles that joined both by the base of the triangles.
We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.
here, l=16 and b=4 and substitute these values in the formula, we get
A₃=2×16×4
A₃=128m²
Furthermore, we will find the area of the left and right side rectangles which joined by the front and end rectangles.
We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.
here, l=4 and b=5 and substitute these values in the formula, we get
A₄=2×4×5
A₄=40m²
Now, we will find the area of the base of the composite figure which is rectangle.
We will find the area by using the formula Area=l×b.
here, l=16 and b=5 and substitute these values in the formula, we get
A₅=16×5
A₅=80m²
So, the surface area of the given composite figure will be
Surface area=A₁+A₂+A₃+A₄+A₅
Surface area=96m²+100m²+128m²+40m²+80m²
Surface area=444m²
Hence, the surface area of the given composite figure is 444m².
Learn more about the surface area from here brainly.com/question/1090412
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Step-by-step explanation:
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Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
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Answer:
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Step-by-step explanation:
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He sells 80% (48) for $12 each. Income of $576
He puts the remaining (12) on sale for one full one half off.
He sells 3 for half price ($6) and 3 for full price ($12) Income of $54
$576 + $54 = $630
$630 - $160 = $470
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Write the equation for this line in slope-intercept form.
y=-2x+?
A. -4
B. 2
C. -2
D. -1/2
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Use the coordinates from the graph:
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Slope m = -3-0/0-(-6)
m = -3/6
m = -1/2
The y-intercept is -3 (point where the line meet the y intercept)
Substitute unto the expression y = mx+c
y = -1/2 x - 3
Hence the required equation is y = -1/2 x - 3
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Answer:
49 cm²
Step-by-step explanation:
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Inequality from graph
Choose the inequality that represents the following graph.
MY
Cou
-5
14
13
12
+
5
1
0
1
2
3
4
MY
Choose 1 answers
Pro
21
Pro
Теа
2011
2-1
2-1
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Answer:
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Step-by-step explanation:
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θ
is real, cos()=Re()
cos
(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,
(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
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A
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B
)
=
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A
(
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)
=
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i
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cos
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)
Finally,
cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos
(
A
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)
+
cos
(
A
−
B
)
=
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=2cos()cos()
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D 29, 37, 10
Answers
Answer:
A
Step-by-step explanation:
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Answer:
A.
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Answers
Answer:
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Step-by-step explanation:
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Answers
50
STEP BY STEP:
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sole this question ?
30÷5+(9×5)-3²=
Answers
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
42
Step-by-step explanation:
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= 6 + ( 9)(5)−32
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Answers
Answer:
15 minutes
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
x= -4
Step-by-step explanation:
hope it's helpful to you
Answer:
A) x= -4
Step-by-step explanation:
To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.
-48=12x
Then, divide both sides by 12
-4=x