Answers
The missing points of the table at x = 5, y = 1 and y = 0 has been completed in the table attached.
How to complete the table of the graph?
In general, to complete a table based on a graph, you need to follow these steps:
Look at the graph carefully and identify the variables represented on each axis.Determine the range of values for each variable.Decide on the intervals or steps you want to use for the table, based on the level of detail required.Create a table with the appropriate number of columns and rows.Label the columns and rows with the variables and their corresponding units.Fill in the table by reading the values of the dependent variable (y-axis) for each value of the independent variable (x-axis) and recording them in the appropriate cell of the table.Learn more about completing graph tables here: https://brainly.com/question/29298329
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Related Questions
Graph the line with the equaation y=-2/5x-2
Answers
The graph of the linear equation is on the image at the end.,
How to graph the linear equation?To graph a line, we need to find two points on the line and then connect them with a line.
Evaluating in x = 0 we will get.
y = (-2/5)*0 - 2 = -2
evaluating in x = 5
y = (-2/5)*5 - 2 = -4
Then we have the points (0, -2) and (5, -4)
And the graph of the linear equation can be seen in the image at the end.
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You have 10 grades in your math class. After ordering them from least to greatest, this is the data set: {80, 82, 82, 83, 85, 88, 92, 95, 95, 96}. Which statement is true about the mode?
The mode is 95.
The mode is 82.
There are two modes: 82 and 95.
There is no mode
Answers
Answer:
82 and 95
Step-by-step explanation:
Most repeated
On Monday 149 people each bought 1 CD at a music store. On Tuesday 263 people each bought 1 All the CDs cost $9. What was the total amount paid for the CDs on these two days?
Answers
If each CD costs $9, then the total amount paid for the CDs on these two days is the product of the number of CDs and the price per CD:
Total amount paid = 412 CDs * $9/CD = $3708.
Therefore, the total amount paid for the CDs on these two days is $3708.
Answer:
Step-by-step explanation:
On Monday, the total amount paid for CDs = 149 * $9 = $1341
On Tuesday, the total amount paid for CDs = 263 * $9 = $2367
Therefore, the total amount paid for CDs on these two days = $1341 + $2367 = $3708.
3) In a triangle ABC, [AM] is the median relative to [BC] and O is the midpoint of [AM]. (BO) cuts [AC] at D. Let E be the midpoint of [DC]. 1º) Prove that BMED is a trapezoid. 2º) Prove that D is the midpoint of [AE]; deduce that CD = 2AD. 3º) Prove that OD = 4 BD.
Answers
1) The lines AC and BO are parallel (by alternate interior angles), so BMED is a trapezoid.
2) CD = 2AD.
Trapezoid and mid point1) To prove that BMED is a trapezoid, we need to show that BM || ED.
Since O is the midpoint of AM, we have OB || MD (as OB and MD are both perpendicular to AM).
Also, since E is the midpoint of DC, we have DE || AC (as DE and AC are both perpendicular to BC).
Therefore, to show that BM || ED, it is enough to show that AC || OB.
We know that OB is a transversal to the parallel lines BM and AM, so we have:
∠OBD = ∠MBC (corresponding angles)
Similarly, we have:
∠OAD = ∠ABC (corresponding angles)
Since ∠MBC = ∠ABC (because [AM] is the median), we have:
∠OBD = ∠OAD
Therefore, the lines AC and BO are parallel (by alternate interior angles), so BMED is a trapezoid.
2) To prove that D is the midpoint of [AE], we need to show that AD = DE.
Since [AM] is the median, we have:
AD = MC
Also, since E is the midpoint of DC, we have:
DE = EC
So it is enough to show that MC = EC.
Since O is the midpoint of AM, we have:
OM = MA/2
But MA = MC + AC/2 (because [AM] is the median), so we have:
OM = (MC + AC/2)/2
= MC/2 + AC/4
Also, since E is the midpoint of DC, we have:
OE = EC/2
But AC = 2DC (because [AM] is the median), so we have:
OE = EC/2 = AC/4
Therefore, we have:
OM = OE
So triangle OME is isosceles, and we have:
∠OEM = ∠OME
But ∠OED = ∠OEM (because DE || AC), so we have:
∠OED = ∠OME
Therefore, triangles ODE and OME are similar, so we have:
OD/OM = OE/OE
= 1
Therefore, OD = OM.
But we also have:
OM = MA/2 = MC/2 + AC/4
= AD/2 + AC/4 (because [AM] is the median)
So we have:
OD = OM = AD/2 + AC/4
= AD/2 + DC/2 (because AC = 2DC)
= (AD + DC)/2
= AE/2 (because E is the midpoint of DC)
Therefore, we have shown that D is the midpoint of [AE].
Moreover, we have:
CD = AE/2 = AD + DC/2 = AD + AC/4 (because AC = 2DC)
= AD + MC/2 (because [AM] is the median)
= AD + AD/2 (because AD = MC)
= 3AD/2
So we have CD = 2AD.
3) To prove that OD = 4BD, we need to show that BD = (1/4)OM.
Since [AM] is the median, we have:
BM = MC
Also, since O is the midpoint of AM, we have:
OM = BM/2 + AM/2
= BM/2 + 2BM/2 (because [AM] is the median)
= 3BM/2
Therefore, we have:
BD = BM - MD
= MC - MD
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At noon, a barista notices that she has $10 in her tip jar. If she makes an average of $0. 75 from
each customer, how much will she have in her tip jar if she serves more customers during her
shift?
Answers
The total amount of money she would have at the end of her shift would be 0.75x + 10
If the barista makes an average of $0.75 from each customer and she has $10 in her tip jar at noon, we can use this information to estimate how much money she will have at the end of her shift if she serves more customers.
Let's assume that the barista serves "x" more customers during her shift, and that each customer gives her an average of $0.75 in tips. The total amount of money she would make from the tips of these "x" customers would be 0.75x.
Adding the $10 she already has in her tip jar, the total amount of money she would have at the end of her shift would be:
Total = 0.75x + 10
The amount of money the barista would have at the end of her shift would depend on the number of customers she serves after noon. For instance, if she serves 20 more customers after noon, then the total amount of money she would have at the end of her shift would be:
Total = 0.75(20) + 10 = $25
Therefore, the amount of money the barista would have in her tip jar at the end of her shift depends on the number of customers she serves and the amount of money each customer gives her in tips.
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To determine the sample size needed to estimate a parameter, you must know the margin of error. (True or False)
Answers
The margin of error is an important factor in determining the sample size needed to estimate a parameter, it is not the only factor - False.
Other factors that need to be considered include the level of confidence desired, the variability of the population being sampled, and the size of the population.
The margin of error is the amount of error that is acceptable in the estimate of the parameter. The smaller the margin of error desired, the larger the sample size needed.
A higher level of confidence requires a larger sample size, as there is less room for error in the estimate. The variability of the population being sampled also plays a role in determining the sample size needed.
Finally, the size of the population being sampled also affects the sample size needed.
A smaller population requires a smaller sample size, while a larger population requires a larger sample size to ensure a representative sample.
In summary, while the margin of error is an important factor in determining the sample size needed to estimate a parameter, it is not the only factor.
Other factors that need to be considered include the level of confidence desired, the variability of the population being sampled, and the size of the population.
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A researcher is interested in the effects of exercise on mental health and he proposes the following study: Use stratified random sampling to ensure representative proportions of 18-30, 31-40 and 41- 55 year olds from the population. Next, randomly assign half the subjects from each age group to exercise twice a week, and instruct the rest not to exercise. Conduct a mental health exam at the beginning and at the end of the study, and compare the results. (a) What type of study is this
Answers
The proposed study is a randomized controlled trial (RCT). RCTs are considered the gold standard for evaluating the effectiveness of interventions.
In this study, the researcher will randomly assign subjects to either an exercise or non-exercise group, which helps to ensure that any observed differences in mental health outcomes can be attributed to the exercise intervention and not other factors. Stratified random sampling is also being used to ensure that the study includes representative proportions of different age groups. By conducting a mental health exam at the beginning and end of the study, the researcher can compare changes in mental health outcomes between the two groups. Overall, this RCT has a strong design that will enable the researcher to draw meaningful conclusions about the effects of exercise on mental health.
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Jim's family recently moved to a new
city. The city's population has been
growing, and based on recent trends,
Jim expects it to continue growing
exponentially. This table shows the
expected population in the next two
years.
Time (years)
Population
840,000
882,000
Time (years)
1
2
Find an expression for P(t), the city's
population t years from now. Write your
answer in the form P(t) = a(b)t, where a
and b are integers or decimals. Do not
round.
P(t) =
Answers
To find an expression for P(t), we can use the two given data points to create a system of equations. We can assume that the population is growing exponentially, which means that the population at time t is given by:
P(t) = a(b)^t
where a and b are constants that we need to determine.
Using the first data point, we have:
840,000 = a(b)^1
which simplifies to:
840,000 = ab
Using the second data point, we have:
882,000 = a(b)^2
We can solve for a in terms of b by dividing the second equation by the first equation:
882,000/840,000 = (a(b)^2)/(ab)
Simplifying, we get:
1.05 = b
Substituting this value of b into the first equation, we get:
840,000 = a(1.05)
Solving for a, we get:
a = 800,000
Therefore, the expression for P(t) is:
P(t) = 800,000(1.05)^t
This means that the city's population t years from now can be calculated by multiplying the initial population of 800,000 by 1.05 raised to the power of t.
Answer:
Step-by-step explanation:
city. The city's population has beengrowing, and based on recent trends,Jim expects it to continue growingexponentially. This table shows theexpected population in the next twoyears.Time (years)Population840,000882,000Time (years)12Find an expression for P(t), the city'spopulation t years from now. Write youranswer in the form P(t) = a(b)t, where aand b are integers or decimals. Do notround.P(t) =
a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.
b. The class is an adult swimming class.
C. Half of the students are between 2 and 3 years old.
Answers
a). There are a total of 10 students in the class, according to the dot plot.
b). The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). Thus, just 20% (2/10) of the students are toddlers or preschoolers.
What is number?Numbers are mathematical units of measurement and labelling. It is an ethereal idea that can stand in for many different material quantities, including time, money, and distance. Real numbers, complex numbers, and even irrational numbers can all be considered numbers in mathematics.
Numbers are frequently employed in mathematical equations to express relationships and to represent data. They are also employed in the development of models, patterns, and data analysis.
a). There are a total of 10 students in the class, according to the dot plot.
b). The programme is a swimming lesson for adults.
No, it doesn't seem to be an adult swimming lesson based on the dot plot. The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). The majority of the students are between the ages of 2 and 3.
No, it doesn't seem like half of the students are between the ages of 2 and 3, according to the dot plot. There are two students who are two years old, one who is three, two who are four, and five who are five. Thus, just 20% (2/10) of the students are toddlers or preschoolers.
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In a long run, what does new technology do to the LRATC?
Answers
In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.
The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.
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19PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Answers
Using trigonometric functions, we can find the value of the missing sides as follows:
AC = 15.48units.
AB = 9units.
Define trigonometric functions?The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.
Here in the question,
As per the trigonometric function:
Sin30° = opposite side/hypotenuse
⇒ 1/2 = AB/18
Cross multiplying:
⇒ AB = 18/2
⇒ AB = 9units.
Now,
Cos30° = adjacent side/hypotenuse
⇒ 0.86 = AC/18
Cross multiplying:
⇒ AC = 15.48units.
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please help!!!!!!!!!!!!!!!
this
Answers
Answer: B A
Step-by-step explanation:
Using the Standard Normal Table, what is the area to the left of z < -2.34?
Answers
The Standard Normal Table is a tool that is used to calculate probabilities associated with the standard normal distribution.
When using the Standard Normal Table, we can find the area to the left of z < -2.34 by first locating the value -2.3 in the left-hand column of the table and the value -0.04 in the top row of the table.
Then, we find the intersection of the row and column to locate the corresponding value of 0.0099. This value represents the area to the left of -2.3 on the standard normal distribution.
To find the area to the left of -2.34, we need to adjust the value by subtracting the area to the left of -2.34 from the area to the left of -2.3.
The standard normal distribution is symmetric around the mean of 0. It means the area to the right of -2.3 is the same as the area to the left of 2.3.
Therefore, the area to the left of z < -2.34 is the area to the left of -2.3 (0.0099) minus the area between -2.34 and -2.3 (0.0040), which equals 0.0059. So, the area to the left of z < -2.34 is 0.0059.
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What is the
intermediate step in the form
(x + a)² = b as a result of completing
the square for the following equation?
-5x² 10x = -315
Answers
Answer:
To complete the square for the equation -5x² + 10x = -315, we can follow these steps:
Move the constant term (-315) to the right side of the equation:
-5x² + 10x + 315 = 0
Divide both sides of the equation by the coefficient of the x^2 term (-5) to get a coefficient of -1 for the x^2 term:
x² - 2x - 63 = 0
Add the square of half the coefficient of the x term to both sides of the equation:
x² - 2x + 1 - 1 - 63 = 0 + 1
Simplify the left side of the equation by factoring the quadratic trinomial and combining like terms:
(x - 1)² - 64 = 1
Add 64 to both sides of the equation:
(x - 1)² = 65
So the intermediate step in completing the square for -5x² + 10x = -315 is:
(x - 1)² - 64 = 1
This is the result of adding the square of half the coefficient of the x term (-1) to both sides of the equation and simplifying.
Ryan has 2,000 grams of Flerovium-289, which has a half life of 30 seconds. Use
the formula y = ab* to figure out how much Flerovium-289 you will have after
5 minutes. (Hint: x is the the total number of half lives in 5 minutes)
(.5)_
a.) 62.5 grams
b.) 1.95 grams
c.) 353.55 grams
d.) 1,000 grams
y =____
Answers
y = ab^x
where,
y = final amount
a = initial amount
b = decay factor
x = number of half-lives elapsed
Here, the initial amount (a) is given as 2,000 grams of Flerovium-289, and the half-life (t1/2) is 30 seconds.
To find the decay factor (b), we can use the formula:
b = 1/2^(t/t1/2)
where, t is the time elapsed. Here, t = 5 minutes = 300 seconds.
b = 1/2^(300/30) = 1/2^10 = 1/1024
Now, we can find the final amount (y) after 5 minutes by using the formula:
y = ab^x
where, x is the number of half-lives elapsed in 5 minutes.
x = t/t1/2 = 300/30 = 10
y = 2,000 * (1/1024)^10
y ≈ 1.95 grams (approx)
Therefore, the answer is option (b) 1.95 grams.
I need to know how to do these and if I got the one right
Answers
23. The value for x in triangle is 11.14
24. The value for x in the triangle is 18.3
25. The value for x = 30.4
27 The value for x = 63.413 degrees
Sine, Cosine and Tangent23
Cos θ= adj/ hyp
cos 42= x/15
x = 15 cos 42
x = 11.14
24
tan θ= opp/ adj
tan 31= 11/ x
x(tan 31)= 11
x = 11/tan 31
x = 18.3
25
cos θ= adj/ hyp
cos 18= 29/x
x(cos 18) = 29
x = 29/ cos 18
x = 30.4
27
sin x = opp/ hyp
sin x = 17/19
sin x = 0.8947
x = 63.413 degrees
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Type the missing number in this sequence:
3, 9, 27, 81
Answers
243
Find the missing side. round to the nearest tenth.
Answers
Answer:
[tex]x = \sqrt{ {16}^{2} + {21}^{2} } = \sqrt{256 + 441} = \sqrt{697} = 26.4[/tex]
PS is the midsegment of the trapezoid QRTU.
If PS = 36 and QR = 48, what is TU?
T
R
S
TU =
U
P
Q
Answers
The length of segment TU is given as follows:
TU = 24 units.
How to obtain the length of segment TU?The length of segment TU is obtained applying the trapezoid midsegment theorem, which states that the length of the midsegment of the trapezoid is equals to the mean of the length of the bases of the trapezoid.
The parameters for this problem are given as follows:
Midsegment PS = 36.Bases TU = x and QR = 48.Hence the length of TU is obtained as follows:
36 = (x + 48)/2
x + 48 = 72
x = 24.
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ch of the following tables represents a relation that is a function? x y 3 −2 3 −1 3 0 3 2 3 2 x y −3 3 −1 3 0 3 0 −3 2 3 x y −4 −3 −3 1 −2 −4 1 1 1 −2 x y −2 0 −1 2 0 1 2 0 5 2
Answers
The table that shows a relation that represents a function is: table D in the options given.
What is a Relation that is a Function?To determine if a relation is a function, we need to check if each value of x corresponds to a unique value of y.
A. In this relation, x = 3 is paired with two different values of y (-2 and -1) which means this relation is not a function.
B. In this relation, each value of x does not corresponds to only one value of y, so this relation is not a function.
C. In this relation, -3 and 1 are paired with two different values of y (-3 and 1), which means this relation is not a function.
D. In this relation, each value of x corresponds to only one value of y, so this relation is a function.
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5x+4y=-3+y=2x-4 solve for x and y
Answers
The system of equations are solved and x = 1 and y = -2
Given data ,
Let the system of equations be A and B
where 5x + 4y = -3
y = 2x - 4
Substituting the value of y in equation (1) , we get
5x + 4 ( 2x - 4 ) = -3
On simplifying the equation , we get
5x + 8x - 16 = -3
Adding 16 on both sides , we get
13x = 13
Divide by 13 on both sides , we get
x = 1
Now , when x = 1
y = -2
Hence , the equations are solved
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SHARKS The average length of a whale shark is 24.821 feet long. The average whale shark is 13.319 feet longer than the average length of a great hammerhead shark (x)? What is the average length of a great hammerhead shark?
Answers
Answer:
11.502
Step-by-step explanation:
slope-reliability) with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability. true false
Answers
The statement "with respect to the 3-sigma rule used in reliability analysis, studies have shown that even experts tend to under-predict the range in parameter values (max-min). however, this is conservative because it leads to a smaller estimate of reliability" is true because studies have shown that experts tend to under-predict the range in parameter values when using the 3-sigma rule, leading to a conservative estimate of reliability.
The 3-sigma rule is a widely used method in reliability analysis that assumes the range of parameter values is within three standard deviations of the mean value. However, studies have shown that experts tend to under-predict the range of parameter values.
This under-prediction can result in a conservative estimate of reliability because it leads to a smaller range of possible outcomes. In other words, the estimated reliability is likely to be lower than the actual reliability. Therefore, it is important to take into account the potential for under-prediction when using the 3-sigma rule and to use other methods to estimate reliability as well.
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what is the value of x, in units?
Answers
Answer: 12 units
Step-by-step explanation: see both shapes are the same just one is flipped and its small meaning the first shape without numbers is only double of the shape with numbers so you answer would be 12 units
small shape x 2 gives all your answers to the big shape
TOO
EASY
BYE
The equation of line t is y= –1/8x–8. Line u is parallel to line t and passes through (8,5). What is the equation of line u?
Answers
The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.
Given that:
Equation, y = - (1/8)x - 8
The slope of the parallel lines is equal. Then the equation of the parallel line is given as,
y = -(1/8)x + c
The equation passes through (8, 5), then we have
5 = -(1/8) * 8 + c
5 = - 1 + c
c = 6
The equation of the parallel line will be y = -(1/8)x + 6.
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A scoop from a bin of assorted jelly beans contained a mix of flavors. root beer 5 licorice 22 cinnamon 6 What is the experimental probability that the next jelly bean scooped from the bin will be a cinnamon jelly bean? Write your answer as a fraction or whole number. P(cinnamon)=
Answers
Answer: The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials.
In this case, the number of cinnamon jelly beans in the scoop is 6. The total number of jelly beans in the scoop is 5+22+6=33.
Therefore, the experimental probability of scooping a cinnamon jelly bean from the bin is:
P(cinnamon) = number of cinnamon jelly beans / total number of jelly beans
P(cinnamon) = 6 / 33
P(cinnamon) = 2 / 11
So the experimental probability of scooping a cinnamon jelly bean from the bin is 2/11, which can be written as a fraction.
Step-by-step explanation:
Each input value, x, is squared and then 3 is added to
the result. The domain of the function is [0, ∞).
make a graph or equation
Answers
The equation of the function is f(x) = x² + 3, where x represents the input value and f(x) represents the output value. Graph is in below figure.
What is a domain of the function?The domain of a function is the set of all possible input values (also called the independent variable) for which the function is defined. In other words, it is the set of values that can be plugged into the function to produce a valid output value (also called the dependent variable).
The equation of the function is f(x) = x² + 3, where x represents the input value and f(x) represents the output value.
To graph this function, we can plot points by choosing values of x and computing the corresponding values of f(x). Since the domain of the function is [0, ∞), we will only consider non-negative values of x.
x f(x)
0 3
1 4
2 7
3 12
4 19
We can plot these points on a coordinate plane and connect them with a smooth curve to obtain the graph of the function:
Note that the graph is a parabola that opens upwards and passes through the point (0, 3).
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Write a matrix that when multiplied by any point [x/y] would have the effect of rotating the point 90 degrees counterclockwise. Also determine the algebraic effect of performing the transformation on the point A.
Answers
The result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].
Define rotationRotation is a transformation in geometry that involves turning or spinning an object around a fixed point called the center of rotation. The center of rotation remains stationary while all the points of the object move along circular paths, at the same angle and distance from the center.
To rotate a point [x/y] counterclockwise by 90 degrees, we can use a 2x2 matrix of the form:
[ 0 -1 ]
[ 1 0 ]
To multiply this matrix by a point [x/y], we can use the following matrix multiplication:
[ 0 -1 ] [ x ] [ -y ]
[ 1 0 ] [ y ] = [ x ]
So, if we have a point [x/y] and we want to rotate it 90 degrees counterclockwise, we can multiply it by the matrix [ 0 -1 ; 1 0 ] to get the new point [-y/x].
To rotate a point 90 degrees counterclockwise using a matrix, we need to represent the point as a column matrix and then multiply it by the 2x2 rotation matrix.
Assuming that the point is [x, y] = [-5, 2], we can represent it as a column matrix:
| -5 |
| 2 |
To rotate the point counterclockwise by 90 degrees, we can use the following 2x2 rotation matrix:
| 0 -1 |
| 1 0 |
Multiplying the rotation matrix by the column matrix representing the point gives:
| 0 -1 | | -5 | | 2 |
| 1 0 | ×| 2 | = | -5 |
So the result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].
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Find the surface area of the rectangular prism.
Answers
The surface area of the rectangle prism is 96cm²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;
SA = 2B +pH
where B is the base area and p is the perimeter of the base and h is the height of the prism.
Base area = 4× 2 = 8cm²
perimeter of the base = 2(4+2) = 2× 8 = 16cm²
height = 5cm
therefore the surface area of the prism
= 2×8 + 5×16
= 16+80
= 96cm²
therefore the surface area of the prism is 96cm²
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A ruler is 12 inches long. What is the length of this ruler in centimeters
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Answer:
Step-by-step explanation: There are 2.54 centimeters in a inch, for every inch you need to multiply it by 2.54.
2.54 x 12 = 30.48
Answer = 30.48
A 12inch ruler is 30cm.
If you look at a ordinary see through plastic ruler one side says 12 inches and the other, 30 centimetres by one millimeter.