ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
![EllusFind The Surface Area Of The Composite Figure.2 Cm7 Cm2 Cm12 Cm12 Cm7 Cm7 CmSA = [?] Cm2](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/eWzdCnWZkHe8d01iRhM5hAn5VxzfqDYf.png)
Answers
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
Related Questions
What is 234.506 rounded to the nearest hundredth
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Answer:
Rounded to the nearest hundredth, 234.506 becomes 234.51.
Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answers
Answer:
Sterling Corporation
a. Arguments to support the minority shareholders' claim include:
1. If there is a provision to this effect in the Shareholders' agreement,
2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and
3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.
b. The arguments to reject the minority shareholders' claim include:
1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.
2. Wilcox is within his rights to sell his shares to Conrad.
3. Wilcox does not oppress the minority shareholders with the sale to Conrad.
c. Wilcox should prevail. Apparently, he did not act illegally or contrary to agreement.
Step-by-step explanation:
Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.
Shareholding of Minority shareholders = 40%, which is <50%
Market price per share of Sterling Corporation = $22
Selling price of Wilcox's shares = $29
Excess of the market price = $7 ($29 - $22)
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Step-by-step explanation:
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Answer:
80,000
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have a good day :)
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Step-by-step explanation:
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define gender based violence
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Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth .
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Answer: 282.743 in2
Step-by-step explanation:
Need help with this question. 20 points
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9514 1404 393
Answer:
3
Step-by-step explanation:
For x > 0, the function f(x) is ...
f(x) = 3x -4 . . . . . . . . for x > 0
Translating this down 1 unit makes it ...
g(x) = f(x) -1 = 3x -5
The rate of change for any interval such that x > 0 in the whole interval is the coefficient of x: 3.
The rate of change on the interval is 3.
__
If you like, you can find the rate of change from ...
m = (g(5) -g(2))/(5 -2) = (10 -1)/3 = 9/3 = 3
The rate of change is 3.
What is perimeter of 300 315 55
Answers
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Answers
Ans its b and c
Step-by-step explanation:
A rectangular in ground pool needs to be filled with water. The pool is 20 feet long 9 1/2 feet wide, and 5 1/2 feet deep determin the maximum amount of water the pool can hold? PLS ANSWER IM GOING TO FAIL
Answers
Answer:
1045 ft³ of water
Step-by-step explanation:
Given :
Length = 20 feets
Width = 9 1/2 feets
Height = 5 1/2 feets
The maximum of water the pool can hold is equivalent to the volume of the pool ;
Hence, Volume = Length * width * height
Volume = 20 * 9 1/2 * 5 1/2
Volume = 1045 ft³ of water
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Answers
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
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Can someone help me please?
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Answer:
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Step-by-step explanation:
Answer:
Hi, there your answer is 0.08
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Answers
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
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V=[tex]\pi[/tex]r^2*h/3
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if f(x)= 9+3x, find f(-2)
Answers
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
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Which choice below could represent the distance jake walked?
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Answer:
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Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answers
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
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Answers
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
Does y= x represent a function
Answers
PLEASE HELP!!! CALCULUS ASSIGNMENT
Answers
Answer:
(d) [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify: [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply: [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
( d ) 12x³ - 15x² + 2
Step-by-step explanation:
y = 3x⁴ - 5x³ + 2x - 1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
multiply 4 × 3.[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]
Multiply 3 × -5[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]
subtract the exponentsy = 12x³ - 15x² + 2⁰
For any term t except 0, t⁰ = 1.y = 12x³ - 15x² + 2 × 1
y = 12x³ - 15x² + 2
Hence, option ( d ) is the correct answer.
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answers
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
What is the volume of the rectangular prism?
Answers
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
Find the height of the pyramid.
Answers
Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
[tex]v = \frac{1}{3} lwh[/tex]
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
what is the reciprocal of 9/7?
Answers
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
Answer:
7/9
Step-by-step explanation:
Flip the fraction
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
Answers
X=pie/4 +pie n, pie/3 +2 pie n, 5pie/3 +2 pie n
This is the full set of solutions. Let me know if this isn’t what you wanted or need an explanation.
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
Answers
What is the slope of a line that runs through (-2,4) and (3,7)
Answers
Answer: m=0.6
Step-by-step explanation:
Use the m= y2-y1/x2-x1 formula to calculate slope.
7-4=3
Divided by
3-(-2)=5
3/5= 3/5 or 0.6
Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run
---------------------------
y rises from 4 to 7 = 3
x runs from -2 to 3 = 5
slope = 3/5