Answer:
Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.
One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.
In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.
"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.
I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.
2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.
3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.
4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.
5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?
6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.
7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.
Problem solving strategies refer to the methods that are used by an individual in the solving of problems. An individual can be faced with challenges at their place of work or at home. In order to solve such problems, it's necessary to have a problem solving strategy in place.Firstly, one needs to under the problem. Then, one has to find potential solutions to the problem and the best solution out of the alternatives would be chosen. The chosen solution would then be implemented.Problem solving strategies are also required in mathematics. In order to solve a particular mathematics question, one needs to understand the problem first and find the solution to the problem.In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.
Read related link on:
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Find the value of x. Leave your answer in simplest radical form.
Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters
Answer:
C: Square centimeters
Step-by-step explanation:
We are measuring length here, not volume, so recognize that this fact eliminates Answer B. The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C: Square centimeters.
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.
What is a transformation of the points?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
On a coordinate plane, 3 triangles are shown.
Triangle B C D has points (1, 4), (1, 2), (5, 3).
Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).
Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).
Reflection across the y-axis composition translation of 6 units x, -5 units y.
The diagram is given below.
More about the transformation of the points link is given below.
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If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3Which graph shows the point (-4, 0)?
A.
B.
C.
D.
Answer:
hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.
Jeff says the figure below is a rhombus. Is he correct? *
Answer:
yes it is
Step-by-step explanation:
it is quadrilateral
Answer:
yes
Step-by-step explanation:
just look up rhombus and then look at the pictures
Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%
Answer:
60%
Step-by-step explanation:
is it FLVS right?
i hope this is right
enjoy
A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108
Answer:
36
Step-by-step explanation:
largest share = 9parts = 108
1 part = 108÷9 = 12
smallest share = 3parts = 12×3 = 36
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Select all the possible names for the following angle
Answer:
The answers are options d and e
HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy
Answer:
C)
Step-by-step explanation:
When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.
Hope this helps!
-kiniwih426
Find the value of unknown figure plz tell i will mark as brainliest
Answer:
1. [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. 18
b. -12
2. nth = a + (n - 1)d
ii. k = 103
3. [tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume = 25.025 [tex]m^{3}[/tex]
Step-by-step explanation:
1. Prime factors of 5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
= [tex]2^{3}[/tex] x [tex]3^{6}[/tex]
ii. [tex]\sqrt[3]{5832}[/tex] = 18
b. 2[tex]a^{2}[/tex] - 3[tex]b^{2}[/tex] + 3abc
a = 3, b = 2, c = -1
Thus,
2[tex](3)^{2}[/tex] - 3[tex](2)^{2}[/tex] + 3(3 x 2 x -1)
= 18 - 12 - 18
= -12
2. The required formula is;
nth = a + (n - 1)d
where: a is the first term, n is the number of terms in the sequence and d is the common difference.
b. kth term = 304, then
304 = -2 + (k - 1) 3
= -2 + 3k -3
= 3k - 5
3k = 304 + 5
3k = 309
k = [tex]\frac{309}{3}[/tex]
= 103
k = 103
3. Comparing <DAB and < EBC;
<DAB ≅ <EBC = [tex]x^{o}[/tex]
<BEC = [tex]90^{o}[/tex] (right angle property)
<C = [tex]63^{o}[/tex]
Thus,
<B + <C + <E = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]x^{o}[/tex] + [tex]63^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + 153 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] = 180 - 153
= 27
[tex]x^{o}[/tex] = [tex]27^{o}[/tex]
4. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h is the height of the cylinder.
Diameter = 3.5 m, h = 2.6 m
r = [tex]\frac{3.5}{2}[/tex]
r = [tex]\frac{7}{4}[/tex] m
So that,
Volume = [tex]\frac{22}{7}[/tex] x [tex](\frac{7}{4}) ^{2}[/tex] x 2.6
= [tex]\frac{22}{7}[/tex] x [tex]\frac{49}{16}[/tex] x [tex]\frac{13}{5}[/tex]
= 25[tex]\frac{1}{40}[/tex]
Volume = 25.025 [tex]m^{3}[/tex]
if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
Help me please I’m down baddddd
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
58% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
a) P(5)=
(b) P(x≥6)=
(c) P(x<4)=
Answer:
.216165788
.582225057
.417774943
Step-by-step explanation:
We need to use a binomial distribution here
A.
10C5*.58⁵*(1-.58)⁵= .216165788
B.
I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10
which means we write
10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057
C.
To solve this just take the compliment of answer B
1-.582225057= .417774943
I need help, please answer A and B.
Answer:
a. 81 square inches
b. 108 inches
Step-by-step explanation:
The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.
Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).
12*9 = 108 and that is the perimeter.
Answer:
area
Step-by-step explanation:
a = 405/5 = 81
a =81 square inches
perimeter
p = √81
= 9
=4×9×5
=180 inches
What is the scale factor from Figure A to Figure B? (Please help)
Answer:
3
Step-by-step explanation:
You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3
Instructions: Find the value of x
Please help
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
Mia cut a piece of felt into 3 equal
sections. She used 1 section for an art project. What fraction of the felt did Mia use for the art
project?
(1 Point)
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.
A parking garage charges the following amount for cars parked in the garage:
For the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.
1. If a car is parked in the garage for 30 minutes, how much will the garage charge? Explain your answer.
2. If a car is parked in the garage for 2 hours and 30 minutes, how much will the garage charge? Explain your answer.
3. If a car is parked in the garage for 5 hours, how much will the garage charge? Explain your answer.
4. If a car is parked in the garage for 5 hours and 30 minutes, how much will the garage charge? Explain your answer.
ANY INCOMPLETE OR INAPPROPRIATE ANSWERS WILL BE REPORTED AND DELETED. POINTS WILL BE DEDUCTED.
Answer:
20$ i think
Step-by-step explanation:
A fraction is a way to describe a part of a whole. If a car is parked in the garage for 5 hours and 30 minutes the charge will be $10.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that for the first hour that a car is parked in the garage, there is no charge. After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge. After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage.
1.) Since the car is parked for 30 minutes only.
Charge = $0
Hence, No charge will be charged for 30 minutes.
2.) If a car is parked in the garage for 2 hours and 30 minutes.
Charge for 1 hour = $0
Charge for the next 1 hour and 30 minutes = $5
Hence, the charge will be $5.
3.) If a car is parked in the garage for 5 hours.
Charge for 1 hour = $0
Charge for the next 2 hour = $5
Charge for the next 2 hour = 2×$2 = $4
Charge = $5 + $4 = $9
Hence, the charge will be $9.
4.) If a car is parked in the garage for 5 hours and 30 minutes.
Charge for 1 hour = $0
Charge for the next 2 hour = $5
Charge for the next 2 hour 30 minutes = 2.5 ×$2 = $5
Charge = $5 + $5 = $10
Hence, the charge will be $10.
Learn more about Fraction:
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PLEASE HELP MEEE!! AND DONT PUT THESE LIKE TINY.URL THINGS
=======================================================
Work Shown:
A = h*(b1+b2)/2 .... area of trapezoid formula
A = 4*(7+3)/2
A = 4*(10)/2
A = 40/2
A = 20 square units
-----------
notes:
The bases b1 and b2 are parallel to one another.b1 = 7 is the longer horizontal base at the bottom. It spans from x = 1 to x = 8, so it's 8-1 = 7 units long.b2 = 3 is the shorter horizontal base up top. It spans from x = 2 to x = 5, so it's a distance of 3 units.h = 4 is the height. We can count out 4 spaces when going one base to the other, or we can note that the y coordinates subtract to 4 (ie 5-1 = 4)The base and height are always perpendicular to one another.As an alternative way to solve, you can break the figure into 2 triangles and a rectangle in between. Find the area of each piece, and then add those areas up to get the final answer.A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.383 (3 d.p.)
Step-by-step explanation:
Probability formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student owns a credit card
Let P(B) = probability that the student is a freshman
Use the given table to calculate the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]
Use the given table to calculate the probability that the student is a freshman:
[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]
To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of A given B is:
[tex]\sf P(A|B)=\dfrac{P(B \cap A)}{P(B)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).
P(Freshman credit card holder)
23/1000.23P(Freshman)
60/1000.60P(Freshman credit holder|Freshman)
0.23/0.60.383HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3
Answer:
There is either No Answer or
B See if the computer or your maker will take B, but the real answer is that there is no answer.
Step-by-step explanation:
Prime polynomials cannot be factored.
x^2 + 4 can't be factored.
x^2 - 4 can be factored and is not prime
x^2 - 4 = (x + 2)(x - 2)
A) is not prime
3x^2(x + 1) - 2(x + 1) x + 1 is a common factor
(3x^2 - 2)(x + 1)
B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.
C) 3x^2(x + 1) - 2(x + 1) x + 1 is a common factor. C is not the answer.
D D is done the same way that A and C are done.
4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.
So the answer might be B. It doesn't look like it factors the same way as the other three
Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
A prime polynomial is a polynomial that can't be factored. Hope I helped
(7x-2)-(x-9) {Pls Simplify this}
Answer:
6x + 7
Step-by-step explanation:
(7x - 2) - (x - 9)
7x - 2 - x + 9
6x + 7
help me please with these questions
Answer:
17) option b
18) option b
19) option d
Step-by-step explanation:
17)
Cost of 25 burgers = $75
Therefore , cost of 1 burger:
[tex]\frac{75}{25} = 3[/tex]
18)
Area of rectangle = length x breadth
[tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]
19)
14.25
x 6.3
_________
4275
+ 8550
__________
89.775
___________
10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I
Answer:
x+80=70°(exterior alternate angles)
x=70-80
x=-10
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
kKKjKKIjJJIIIiIIIIIiI
Step-by-step explanation:
!KKkJJJiJJjJJjJbsfkhbdaouaodu?vu?vaoeaecuOqwcouVcwqouqwcuFOacwgouceau
I
cfqow
cfowu
qawcu
odwu
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need help again thank you
<3
a.
Answer:
240 cm^3
b.
Answer:
208cm^2