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The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
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Related Questions
Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I
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Answer:
≈ 0.52
Step-by-step explanation:
P( head ) = 2/3 , P( tail ) = 1/3
when a head is tossed ; Gambler A wins $1
when a tail is tossed : Gambler B wins $1
Determine the P( Gambler A wins the game ) if he starts with I dollars
Assuming I = $1
n = 5
p ( head ) = P( winning ) = 0.66
p( losing ) = 0.33
applying the conditional probability in Markov which is ;
Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁
P( 1) = 0.66P₂ + 0.33P₀
resolving the above using with Markov probability
P( 1 ) = 0.51613
hence the probability of Gambler A winning the game if he starts with $1
≈ 0.52
LINK=REPORT
(4^2)^3=
A. 4^5
B. 4^6
C. 8^5
D. 16^5
(5^2)(5^3)=
A. 5^5
B. 5^6
C. 10^5
D. 25^5
(3^4)(3^5)=
A. 3^9
B. 9^9
C. 3^20
D. 6^20
Which is equivalent to 2^3•2^-5?
A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2
If you answer all four of them and they are right I will give brainliest!
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Answer:
a) 4^6
b) 5^5
c)3^9
d)2^-2
Step-by-step explanation:
When raising a number to a power and then to another power, you can multiply the exponents.
When multiplying numbers with the same base to different exponents, you can add the exponents.
Ashley started washing at 10:28 AM and finished at 10:41 AM.
How long did it take her? Give your answer in minutes.
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Answer:
13 minutes
Step-by-step explanation:
The reason why it is 13 minutes is because you subtract 10:41 AM from 10:28 AM and you get 13 minutes.
Answer:
13
Step-by-step explanation:
41-28= 13
the hours don't change so you just need to subtract the minutes
NEED THIS BY FRIDAY ! I HAVE MORE UNANSWERED QUESTIONS ON MY PAGE!!
Answers
Answer:
2, 3, 4 (up to down)
Step-by-step explanation:
Rational: can be terminating, repeating, in a fraction
Irrational: Not terminating (ending), doesn't repeat (o.33333....), and you can't put it in a fraction
Hope this helps!!
p.s. brainliest plz
will give brainliest
Answers
Answer:
Step-by-step explanation:
1/48 + 5/6
The LCD of 48 and 6 is 48 so we have:
1/48 + 40/48
= 41/38
Answer:
41/48
Step-by-step explanation:
Hey luvs!
The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?
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Answer:
I don't know I'm sorry.............
Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d3.125, 2.911, and n8, and that you wish to test the hypothesis below at the 10% level of significance. What decision rule would you use? : 0 against : 0
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Answer:
Decision Rule
The critical region for one tailed test with 7 d.f is t > 1.415 for
H0 : ud ≤ 0 against the claim Ha: ud > 0
Step-by-step explanation:
The data given is
Population mean = ud= 0
Sample difference mean = d`= 3.125
Sample difference standard deviation = sd= 2.911
Sample size= n= 8
Formulate the null and alternate hypotheses as
H0 : ud ≤ 0 against the claim Ha: ud>0
The significance level ∝= 0.1
The degrees of freedom = n-1 = 8-1 = 7
The critical region for one tailed test with 7 d.f is t > 1.415
The test statistic is
t= d`- ud/ sd/ √n
Putting the values
t= 3.125-0 / 2.911/√8
t= 3.125/1.0292
t= 3.036
since the calculated value of t falls in the critical region we reject the null hypothesis .
is 2 a solution to the equation 1/2 x 4 = 5 ?
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Answer:
yes it is good luck with your work
Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100
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An
Step-by-step explanation:
Cx+y s 100
Answer:
All the inequalities that model the constraints for this situation:
(d) x + y < 200 ;
(e) 0.75 x + 0.50 y ≥ 100
Step-by-step explanation:
What is inequality ?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
As, x represent the number of candy bars sold & y represent the number of bags of chips sold.
It is given that,
price for one candy bar = $0.75
also, price for one dag of chips = $0.50
So, price for 'x' candy bar = $0.75x
also, price for 'y' of chips = $0.50 y
Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.
the First ineqaulity be,
0.75 x + 0.50 y ≥100
(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)
Now, the second situation
Again, it is mentioned in the question is number of units (candy bar and dag of chips) should be not more than 200 units.
the second inequality be,
x+ y < 200
(which shows that number of candy bar and dag of chips should be less than 200 units.)
All the inequalities that model the constraints for this situation
(d) x + y < 200
(e) 0.75 x + 0.50 y ≥100
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A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.
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Answer:
240 million
Step-by-step explanation:
I took the application
Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?
Answers
9514 1404 393
Answer:
x = 15°
Step-by-step explanation:
Same-side interior angles are supplementary.
(4x° +12°) + 108° = 180°
4x° = 60° . . . . . . . . . . . . . . subtract 120°
x = 15° . . . . . . . . . . . . divide by 4
write the percent of each figure
that is shaded.
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Answer:
1. 21% 2. 70%
Step-by-step explanation:
1. 21 out of 100 are filled in
2. 7/10 are filled in
Help please
(Worth 10 points)
Please respond with a actual answer
*No robots no bad links*
Answers
What is the volume of a cube that has a side of 4 units?
Answers
Answer: 64units³
Step-by-step explanation:
The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:
= x × x × x
= x³
In this case, since the cube has a side of 4 units, the volume will be:
Volume of cube = 4³
Volume of cube = 4 × 4 × 4 = 64unit³
Please help me out! I really need to get this done.
Answers
B. Range (0,0)
A. Domain All real numbers
B. Domain all real numbers
i’m not too sure about the domain but I’m pretty sure it’s all real numbers because of the arrows at each end of the line
What does area mean? When you are asked to find the
area what are you doing?
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Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!
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Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
Trying to finish this test at 3:30 am plz help
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Given:
The given sum is:
[tex]\sum _{k=4}^9(5k+3)[/tex]
To find:
The expanded form and find the sum.
Solution:
We have,
[tex]\sum _{k=4}^9(5k+3)[/tex]
The expanded form of given sum is:
[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]
[tex]\sum _{k=4}^9(5k+3)=213[/tex]
Therefore, the correct option is C.
Please look at the image
Answers
Answer:
value for X
3x-4 =41
3x =41+4
3x =45
x =15
10x -5 = 15
O X = 10
X =-1
x = 2
O X= -2
Answers
Answer:
0
Step-by-step explanation:
Anything multiplied by 0 is 0. sorry if i did it wrong
Bert measured a swimming pool and made a scale drawing. The scale of the drawing was
1 centimeter = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Submit
Answers
Each meter is 100 centimeter
How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?
Answers
Answer:
The angles are proportional and the side lengths are proportional.
Step-by-step explanation:
Savaas Realize
Multiply 4/5 by 10 , and then multiply that product by 17 .
Answers
Answer:
your answer is 406.
Step-by-step explanation:
4/5 x 10 will equal to 8. 8 times 17 equals 406.
Name the circle part L shown in the figure.
O Arc
O Sector
O chord
O radius
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Answer:
Step-by-step explanation:
Which pair of inequalities is equivalent to 0
Choose the correct answer below.
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Answer: D is correct
Step-by-step explanation:
Answer:
C. x > 0 and x ≤ 3
Step-by-step explanation:
0 < x ≤ 3
when 0 < x then x > 0
Example: 0 < 2 then 2> 0
Therefor
x > 0 and x ≤ 3
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answers
Answer:
B
Step-by-step explanation:
i know this already from another
Explanation: The dude above me
Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight can he lift this year?
Answers
Answer:
He can lift 160 pounds
Step-by-step explanation:
125 (from last year) + 35 (more pounds) = 160 (total pounds)
125 + 35 = 160
Can you help me with Math
Answers
Answer:
42+106=x
148=x
Step-by-step explanation:
Plsss help. giving extra points if correct.
Answers
Answer:
98?
Step-by-step explanation:
The Unit Circle
What is the domain of a sine function?
a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero
Please select the best answer from the choices provided
Answers
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
I believe it is all real numbers