Without using your spring scale, estimate the order of magnitude of the mass of your calculator in grams from what you judge to be its size, using the fact that the density of water is 1 g/cmº.
Assume that the density of water is about the same as the density of your calculator.
1g
10^2 g
10^4 g
10^6 g
Answers
Answer:
91 grams is about 100 grams ... about 10² grams.
Step-by-step explanation:
Its volume is (length) (width) (thick) = (13 x 7 x 1) = 91 cm³ and If its density is actually 1 g/cm³, then its mass is about 91 grams.
Related Questions
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
Answers
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
A ball is thrown up in the air from the top of a building. The function h(t) = -5t²+10t + 80 models the height of the ball, in feet, after t seconds. Graph this function.
What is the maximum height reached by the ball?
Answers
Answer:
Step-by-step explanation:
h(t)=-5t²+10t+80=-5(t²-2t+1-1)+80
=-5(t²+2t+1)+5+80
=-5(t-1)²+85
maximum height reached=85 ft
A 3 in thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 64 in3
Answers
When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.
what is rectangle ?A rectangular is a square with four right angles in Euclidean geometry and trigonometry. You may also speak to it as an equiangular tetra, meaning that all of its edges are equal. A straight angle could also be found in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90 ° vertices and equal equal sides make up a quadrant with the look of a rectangle. As a basis, it's also known as a raster images rectangle. A rectangle is also referred to as a trapezoidal since its opposite angles are equal but parallel.
given
Let x represent the cube's edge in feet.
Cube volume equals side 3
Hence, the given cube's volume,
The top of a cube is now chopped off in a 4 foot thick chunk.
The slice's volume is equal to x x x 4 = 4x2 ft2.
The volume of the final figure is therefore equal to the sum of the volumes of the cut and cube figures.
= ( x³ - 4x² ) ft²
The answer to the query is
Finding the zeros of the function will lead to the discovery of the solution to the aforementioned equation ( by graphing ),
We discovered that
The equation's graph crosses x at (5.426,0)
Hence, 5.426 is the equation's zero.
⇒ x = 5.426 ≈ 5.43
When a cube's top is chopped off to create a rectangular box, the original cube's side length is 5.43 feet as a result.
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Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Answers
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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What is 26/15 as a whole number?
Answers
Answer:
1 11/15
Step-by-step explanation:
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
ABCDEF form a regular hexagon with centre O.−−→OA=10a−−→OB=10bX is the midpoint of BC. Y is the point on AB extended such that AB : BY = 3 : 2. Express: (i) the vector −−→EX in terms of a and/or b. (ii) the vector −−→XY in terms of a and/or b.
Answers
Results:
(i) The vector −→EX in terms of a and/or b, →X = 1/2 (10b →OB + 10a →OA)
(ii) The vector −−→XY in terms of a and/or b→XY = →Y - 1/2 (10b →OB + 10a →OA)
How to express the vector?(i) We can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints to express the vector −→EX in terms of a and/or b.
Since X is the midpoint of BC, we can express X as the average of the coordinates of B and C:
→X = 1/2 (→B + →C)
Since B is located at 10b units in the direction of vector →OB from O, and C is located at 10a units in the direction of vector →OA from O, we can express →B and →C in terms of a and b:
→B = 10b →OB
→C = 10a →OA
Substituting these values into the expression for →X, we get:
→X = 1/2 (10b →OB + 10a →OA)
(ii) To express the vector −→XY in terms of a and/or b, we can use the given ratio AB: BY = 3: 2.
Since AB is a vector from A to B, we can express it as →AB = →B - →A.
Substituting the expressions for →B and →A, we get:
→AB = 10b →OB - →OA
Since AB: BY = 3: 2, we can express BY as 2/3 of AB:
→BY = 2/3 (→AB)
Substituting the expression for →AB, we get:
→BY = 2/3 (10b →OB - →OA)
Finally, we can express →XY as the vector from Y to X, which is the opposite of →X to →Y:
→XY = →Y - →X
Substituting the expressions for →X and →Y, we get:
→XY = →Y - 1/2 (10b →OB + 10a →OA)
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Which graph shows the solution to this system of linear inequalities?
y> -2x+2
y<2x-1
Answers
The portion of the graph which does not contain (0, 0) is shaded.
What are Linear Inequalities?
When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical or as a combination of the two. When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.
Given the inequalities :
y ≥>2x + 1
y ≤<2x - 2
From y > 2x + 1 ;
Since the inequality sign is ≥, a solid line is used to draw the straight line graph of y > 2x + 1
From :
y = mx + c
Where, m = slope ; c = intercept
Hence, a straight line graph with ;
Intercept, c = 1 (where the line crosses the y-intercept)
Slope, m = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality :
0 > 2(0) + 1
0 >0 + 1
0 >1
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
From : y < 2x - 2
Since the inequality sign is ≤, a solid line is used to draw the straight line graph of y < 2x - 2
Graph the line y < 2x - 2, with ;
Intercept, c = - 2
Slope = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality y < 2x - 2:
0 < 2(0) - 2
0 < 0 - 2
0 < - 2
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
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5. If that same manufacturer miscalculates the demand of the market and manufactures 5,000 dozen of those sweaters, but only sells 3,000 dozen, what is the total profit from the sweaters? (Show your calculations.) $ profit.
Answers
If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
\(=(3000y-5000x)\\=1000(3y-5x)\).
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.To learn more about Profit and Loss, click on the link below.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Two lines in a coordinate plane have no points of intersection. Which pair could be the equations of the lines? A. 3x-2y=6, 6x-4y=12 B.7x+y=10,3x-2y=-3 C.-x+y=5,3x+4y=2 D.-x+y=1,3x+4y=8
Answers
Answer:
A.
Step-by-step explanation:
if to re-write all the equations:
A. y=3/2 x-3; y=3/2 x-3; B. y=-7x+10; y=3/2 x+3/2; C. y=x+5; y=-3/4 x+2; D. y=x+1; y= -3/4 x+8.
According to the re-written view the correct answer is 'A'.
I need help converting 3/5 into a decimal
Answers
Answer:
3.5
Step-by-step explanation:
3/5 in a decimal is 3.5
Help no please jejddjjdix
Answers
Answer:
41,600 miles is the correct
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
10 Per Question :), Algebra 2
Answers
The value of the expression is 16x(x+1) / 10x² -14x -12
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
The given expression is
16/(x-2) ÷ 4/(x+1) + 6/x
Simplify this to have
16 / (x-2) ÷ (10x + 6) / (x+1)(x)
this implies that 16/(x-2) * (x+1)(x)/(10x +6)
16(x² + x)/(x-2)(10x+6)
Therefore the value of the expression is
16x(x+1) / 10x² -14x -12
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Find from first principles the derivative of f(x)= root of X with respect to x
Answers
To find:
The derivative of function f(x) using the first principle.
\(f(x)=\sqrt{x}\)Solution:
By the first principle, the derivative of the function f(x) is given by:
\(f^{\prime}(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}\)So, the derivative of the given function can be obtained as follows:
\(\begin{gathered} f^{\prime}(x)=\lim_{h\to0}\frac{\sqrt{x+h}-\sqrt{x}}{h} \\ =\lim_{h\to0}\frac{\sqrt{x+h}-\sqrt{x}}{h}\times\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}} \\ =\lim_{h\to0}\frac{x+h-x}{h(\sqrt{x+h}+\sqrt{x})} \\ =\lim_{h\to0}\frac{h}{h(\sqrt{x+h}+\sqrt{x})} \\ =\lim_{h\to0}\frac{1}{(\sqrt{x+h}+\sqrt{x})} \\ =\frac{1}{\sqrt{x+0}+\sqrt{x}} \\ =\frac{1}{2\sqrt{x}} \end{gathered}\)Thus, the derivative of the given function is:
\(f^{\prime}(x)=\frac{1}{2\sqrt{x}}\)Remy bought a bottle of water with a volume of 0.56 L. After Remy drank some of the water there was 0.17 L left. How much water did Remy drink?
Answers
Answer:
0.73 L
Step-by-step explanation:
Find the slope of the lined graph
Answers
The slope of the lined graph is 5 / 3
How to determine the slope
The formula for determining the slope of a line is expressed as;
Slope = y2 - y1/ x2 - x1
From the graph shown;
y1 = -1y2 = 4x2 = 3x1 = 0Now, let's substitute the values
Slope, m = 4 - (-1) / 3 - 0
Find the differences
Slope, m = 4 + 1/ 3
Slope, m = 5 / 3
Thus, the slope of the lined graph is 5 / 3
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Represent it! Twice the sun of a number y and 3
Answers
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The sum of y and 3 means addition, but twice means to multiply the sum of y and 3. So, the answer would be 2(y+3).
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?
Answers
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
I need help answering this
Answers
Answer:
True
Step-by-step explanation:
The angles <wax and <yau are vertical angles and has same measurement.
Help me with this quick!
Answers
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
Inequality expressionInequalities are expression not separated by an equality sign, They can be used to solve real world problem as well.
The inequality signs are <, >, ≤ and ≥.
≥can be termed as greater than or equal to (This means at least)
≤can be termed as less than or equal to (This means at most)
Given the inequality expression 6g - 10≥ 35. According to Scotts' response as shown;
"Rudolph has at most $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the maximum number of booklet he can buy?"
This is wrong since $35 was the least amount Rudolph has not the maximum amount. The correct response should therefore be:
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
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Shaniqua has 12 apples to divide into eating and using in an apple pie. If she puts at least 3 apples in each group, how many different ways can she divide the apples?
Answers
Answer:
4..?
Step-by-step explanation:
WILL GIVE BRAINLIEST HELP ASAP
Which statement best explains whether the following table represents a linear or nonlinear function?
-3
0
1
2
5
The table represents a linear function because the rate of change is constant.
© The table represents a linear function because the rate of change is not constant.
O The table represents a nonlinear function because the rate of change is constant.
© The table represents a nonlinear function because the rate of change is not constant.
Answers
Answer:
d- the table represent a nonlinear function because the rate of change is not constant, the value of x are changing constantly but the valueso f Y do not have any linear function.
Question 6 of 10
Which expression gives the volume of a sphere with radius 7?
A 4/3pi(7^2)
B. 4/3pi (7^3)
C. 4pi(7^3)
D. 4pi(7^2)
Answers
Answer:
B. 4/3pi (7^3)
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the radius is 7
V = 4/3 pi 7^3
Given: 2-3a 4+a
Find: 8a+10
Answers
Answer:
\(\fbox{8a+10 = 6}\)
Step-by-step explanation:
\(2-3a =4+a\)
Adding 3a both side,
\(2 - \cancel{3a} + \cancel{3a} =4+a + 3a\)
\(2 = 4 + 4a\)
Subtracting 4 from both the side,
\(2 - 4 = \cancel4 - \cancel4 + 4a\)
\(4a = - 2\)
Now we have to find the value of 8a+10,
\(8a+10 = 2(4a) + 10\)
\(8a+10 = 2 \times ( - 2) + 10 \\ 8a+10 = - 4 + 10 \\ \fbox{8a+10 = 6}\)
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Hey! there
Answer:
6Step-by-step explanation:
In this question we are given with an equation that is 2 - 3a = 4 + a . And we are asked to find the value of 8a + 10 .
So , for finding the value of 8a + 10 , we need to find the value of 'a' with the help of given equation.
Solution : -\(\longmapsto \qquad \: \it{2 - 3a = 4 + a}\)
Step 1 : Adding '3a' on both sides :
\(\longmapsto \qquad \: \it{2 - \:\bold{ \cancel{3a}} + \bold{ \cancel{3a}} = 4 + \bold{a} + \bold{3a}}\)
On further solving,
\(\longmapsto \qquad \: \it{2 = 4 + 4a}\)
Step 2 : Subtracting with '2' on both sides :
\(\longmapsto \qquad \: \it{ \cancel{\bold{2 }} - \cancel{\bold{2 }}= \bold{ 4 }+ 4a - \bold{ 2}}\)
On further solving,
\(\longmapsto \qquad \: \it{0 = 2 + 4a}\)
Step 3 : Subtracting '4a' on both side s:
\(\longmapsto \qquad \: \it{0 - 4a= 2+ \cancel{\bold{4a}} - \cancel{\bold{4a}}}\)
On further solving,
\(\longmapsto \qquad \: \it{ - 4a= 2}\)
Step 4 : Dividing both sides by 4 :
\(\longmapsto \qquad \: \it{ \dfrac{ \cancel{- 4}a}{ \cancel{4}} = \cancel{ \dfrac{2}{4} }}\)
On further solving,
\(\longmapsto \qquad \: \it{ - a= \dfrac{1}{2} }\)
Step 5 : Multiplying both sides by '-1' :
\(\longmapsto \qquad \: \it{ - a \times (- 1)= \dfrac{1}{2} \times ( - 1) }\)
We get,
\(\longmapsto \qquad \: \it{ \boxed{\boxed{ \bold{a= - \dfrac{ 1}{2} }}}}\)
Now , substituting value of a in given expression that is 8a + 10 :
\( \longrightarrow \quad \: \frak{ \cancel{8} \times ( - \dfrac{1}{ \cancel{2}} ) + 10}\)
We get :
\(\longrightarrow \quad \: \frak{ 4 \times - 1 + 10}\)
\(\longrightarrow \quad \: \frak{ (- 4) + 10}\)
\(\longrightarrow \quad \: \frak{ \red{\underline{\red{\boxed{ 6}}}}} \quad \bigstar\)
Therefore, 6 is the answer :)#KeepLearningPls help! Brainliest for first correct answer!
Answers
Answer and Step-by-step explanation:
Triangle CAM is congruent to triangle IAM by the SAS postulate (Side angle Side.
This is because the midpoint is congruent with itself, and since it is midpoint, it forms right angle, making the angle part, and since its also the midpoint, it splits Ci in half, making CM congruent to CI
The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Answers
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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Will someone be able to help me with this math problem, the picture is down below. Please help
Answers
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
Learn more on the Thales theorem here: https://brainly.com/question/14417137
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