Answers
The value of x from pythagoras theorem we get as 32.45
What is Right Angle triangle ?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Let the length of the perpendicular be y , the length of the 3rd side be z
Using Pythagoras Theorem :
x² - y² = 27² , ............(i)
x² + z² = (27 +9)² = 36² .......(ii)
y² - z² = 9² ................(iii)
Adding equation (i), (ii) and (iii) we get ,
2x² = 27²+36² + 9²
⇒x = 32.45
The value of x from pythagoras theorem we get as 32.45.
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Related Questions
Given diagram below, solve for x.
Answers
The value of x is 11.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
5x + 3x + 2 = 90
Solve for x.
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11
Thus,
x is 11.
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a factory sends cases of cereal boxes to a grocery store. there are 144 cereal boxes in every 24 cases shipped. plot points on the graph to show how many cereal boxes there are for shipment of 4,8,10,14 and 16 cases. label each point with its ordered pair.
Answers
A graph of the points with its ordered pair to show the number of cereal boxes there are for shipment of 4, 8, 10, 14, and 16 cases is shown in the image attached below.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
k is the constant of proportionality.y and x represent the variables in a proportional relationship.Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 144/24
Constant of proportionality, k = 6.
When x= 4, the number of cereal boxes y is given by:
y = 6x
y = 6(4)
y = 24 ⇒ ordered pair (4, 24).
When x= 8, the number of cereal boxes y is given by:
y = 6x
y = 6(8)
y = 48 ⇒ ordered pair (8, 48).
When x= 10, the number of cereal boxes y is given by:
y = 6x
y = 6(10)
y = 60 ⇒ ordered pair (10, 60).
When x = 14, the number of cereal boxes y is given by:
y = 6x
y = 6(14)
y = 84 ⇒ ordered pair (14, 84).
When x = 16, the number of cereal boxes y is given by:
y = 6x
y = 6(16)
y = 96 ⇒ ordered pair (16, 96).
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find the intersection of the circle x^2 + y^2 = 144 and the line y = x - 12.
Answers
Answer:
Step-by-step explanation:
x^2+(x-12)^2=144
x=0 or x=12
y=0-12 or 12-12
replace the values in the equation given, and you get
Intersection points are :
(x1,y1) = (0,-12)
(x2,y2) = (12,0)
Answer Fast!!! 45 pts
A six-sided number cube has sides labeled 1,1,2,2,3, and 3
What is known about the probability model for this situation?
Select all correct answers.
⬜ The probabilities of the individual outcomes are the same.
⬜ The probabilities of the individual outcomes are not the same.
⬜ The probability model for this situation is non-uniform.
⬜ The probability model for this situation is uniform,
Answers
The probabilities of the individual outcomes are the same.
The probability model for this situation is uniform.
What is a Probability Model?A mathematical illustration of a random event is a probability model. Its sample space, occurrences therein, and associated probability for each event serve as its definition.
The collection of all potential outcomes is the sample space S for a probability model.
Hence, it can be seen that there is 2 of each number so there is an equal chance. when there is an equal chance that is uniform.
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heyy!! please help me on this, thank u!!
Find the x-intercept and ordered pair:
2x + 3y = -6
Answers
Answer:
Step-by-step explanation:I don’t know u nerdy boy
2x+3y=-6
-2x. -2x
Y= 2/3x -2
Answer the following question in 3-4 complete sentences. Name the two rivers that run through the fertile crescent. How were the rivers both positive and negative to societies of the fertile crescent?.
Answers
The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.
These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.
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Answer:
The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.
Step-by-step explanation:
pictures below
How many applicants were there?
Answers
Exponential Functions
Answers
The correct expression for the given scenario is,
⇒ y = 6 × 4³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A population has a beginning number is 6.
Now, A population has a beginning number is 6.
Hence, The population if it expands at a rate of 4 for 3 years is,
⇒ y = 6 × 4³
Thus, The correct expression for the given scenario is,
⇒ y = 6 × 4³
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A person (A.K.A Subject), object, or some other well-defined item upon which treatment is applied.
Answers
An experimental unit treats a person (also known as a subject), an object, or another clearly defined object.
What is meant by experimental unit?Observational Units Subjects, plots, objects, groupings, and other discrete "entities" that are allocated to and subjected to individual factor level application (or combination of factor levels). The thing that a researcher seeks to infer about (in the population) based on the sample is known as the experimental unit (in the experiment). As a result, this is the entity for which sufficient replication is required. The sample size is how many experimental units there are in each group.As an illustration, if specific students were randomly selected to receive a small-group intervention, the small group which is the smallest division in which students can receive a different intervention would become the experimental unit.To learn more about experimental unit, refer to:
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HELP ASAP 50 POINTS!!! Suppose U={12345678} is the universal set and P={1234}. What is P?
A. {5,6,7,8}
B. {1,2,3,4,5,6,7,8}
C. {1,2,3,4}
D. Cannot be determined
Answers
Which of the following expressions are polynomial’s
Answers
14 can’t be a polynomial because it’s only one term, not multiple terms, which is what a polynomial consists of.
(X+y)/Z can’t be a polynomial because variables are not allowed in the denominator and it’s one term.
question content area if p(a b) = p(a) p(b), then a and b are mutually exclusive. true false
Answers
P ( A or B ) ≠ P(A) + P(B) Hence, A and B are not mutually exclusive. hence is not true for events
therefore the given condition is not true and hence statement is not true for the given events
Two events are called mutually exclusive they are independent to each other.
Also, If A and B are any two events,
Then they are called mutually exclusive,
If P(A ∪ B ) = P(A) + P(B)
Or P ( A or B ) = P(A) + P(B)
Here, P(A) = 0.37, P(B) = 0.38 and P(A or B) = 0.27
Since,
0.27 ≠ 0.37 + 0.38
⇒ P ( A or B ) ≠ P(A) + P(B)
Hence, A and B are not mutually exclusive.
therefore the given condition is not true and hence statement is not true
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Each week, Carmen earns a base pay of $35 plus $0.17 for every pamphlet that she delivers. Write an equation that can be used to find how much Carmen earns each week. How many pamphlets does she need to deliver to earn $86?
Answers
The equation that can be used to find how much Carmen earns each week is y = 35 + 0.17x
The number of pamphlets she needs to deliver to earn $86 is 300 pamphlets
How to write and solve equation?Base salary of Carmen = $35
Additional earnings per week= $0.17
Number of pamphlet Carmen delivers = x
Total amount Carmen earns = y
y = 35 + 0.17x
Number of pamphlets she needs to deliver to earn $86;
y = 35 + 0.17x
86 = 35 + 0.17x
86 - 35 = 0.17x
51 = 0.17x
x = 51/0.17
x = 300 pamphlet
Hence, Carmen earnings is represented by y = 35 + 0.17x and Carmen needs to deliver 300 pamphlet to earn $86
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What is the rate of return on a $10,000 bond purchased at $8750 with a 10% coupon?
A. )8. 75%
B. )9. 09%
C. )11. 43%
D. )10%
Answers
The rate of return on the $10,000 bond purchased at $8750 with a 10% coupon is 24.29%. The answer closest to this value is option C, 11.43%.
The rate of return on a bond is determined by the coupon rate and the difference between the purchase price and face value of the bond.
The coupon rate is the amount of interest paid annually on a bond expressed as a percentage of the face value of the bond.
In this case, the coupon rate is 10%, and the bond was purchased at $8750.
The face value of the bond is $10,000,
So the difference between the purchase price and face value is $1250.
The rate of return can be calculated as follows:
rate of return = (coupon rate + (face value - purchase price) / purchase price) * 100
rate of return = (0.10 + ($10,000 - $8750) / $8750) * 100
rate of return = (0.10 + ($1250 / $8750)) * 100
rate of return = (0.10 + 0.1429) * 100
rate of return = 0.2429 * 100
rate of return = 24.29%
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Need help ASAP
Which function is best represented by this graph?
Responses:
f(x)=x2+2x−1
f(x)=x2−2x−1
f(x)=x2+2x
f(x)=x2−2x
Answers
The function is best represented by f (x) = x² + 2x.
option C
What is the value of x in the given function?The values of x in the given function can be determined as follows;
From one of the solution of x = - 2 and the second solution = 0
Now, we already know that the function has no y intercept, so we will eliminate option A, and B because they have values for y intercept.
Since one of the solutions of x, is negative 2, we will consider a function with positive equation.
f (x) = x² + 2x
solve for x;
x ( x + 2 ) = 0
x = 0 or x + 2 = 0
x = 0 or - 2
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If m<OLN=31° and m<MLO=52°, what is m<MLN? a. 21° b. 22° c. 25° d. 26°
Answers
The value of the angle is ∠MLN = 21°
What is an angle? In-Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex. The angle that lies in the plane does not have to be in Euclidean space. In case the angles are formed by the intersection of two planes in Euclidean or other space, the angles are considered dihedral angles. The angle is represented using the symbol “∠”. The angle measurement between the two rays can be denoted using the Greek letter θ, α, β etc. If the angles are measured from a line, we can find two different types of angles, such as a positive angle and a negative angle.
Positive Angle: If the angle goes in counterclockwise, then it is called a positive angle.
Negative Angle: If the angle goes clockwise direction, then it is called a negative angle.
∠MLN = ∠MLO - ∠OLN
= 52° - 31°
= 21°
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3.) Katy Perry's bank granted her a single-payment loan of $4,400 at an interest rate of 6% exact interest to buy
a new sound system. The term of the loan is 172 days. What is the exact interest and what is the maturity value
of the loan?
Answers
The exact interest will be $124.44.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
Katy Perry's bank granted her a single-payment loan of $4,400 at an interest rate of 6% exact interest to buy a new sound system.
The term of the loan is 172 days in years it will be 172/365.
S = 4400*6*172/365*100 = 124.44
Hence the exact interest will be $124.44.
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solving and reasoning with complex numbers guided notes
the combination of a real number and an imaginary number in the form of a + bi
Answers
A complex number is the product of a real number and an imaginary number in the form of a + bi. Complex numbers are used to solve equations that don't have real solutions, such as [tex]x^{2}[/tex] + 1 = 0.
How to solve a complex number?
Given:
When solving and reasoning with complex numbers, it's important to keep the following properties in mind:
1. The sum of two complex numbers is the sum of their real and imaginary parts.
For example, (a + bi) + (c + di) = (a + c) + (b + d)i
2. The product of two complex numbers is the product of their real and imaginary parts.
For example, (a + bi).(c + di) = (ac - bd) + (ad + bc)i
3. The magnitude (or absolute value) of a complex number is the distance from the origin to the point (a,b) on the complex plane.
For example, |a + bi| = √a^2 + b^2
4. The conjugate of a complex number is its mirror image across the real axis.
For example, the conjugate of (a + bi) is (a - bi).
These properties can be used to solve and reason with complex numbers. For example, to find the quotient of two complex numbers, one could divide the product of their conjugates by the product of their magnitudes.
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Accurately construct triangle ABC using the information below. AB = 9 cm AC = 6 cm Angle BAC = 80° Measure the size of angle ACB to the nearest degree.
Answers
Using the concept of sine rule and cosine rule, the value of angle ACB is
36.64°
What is sine ruleThe sine rule is a mathematical formula used in trigonometry to find the relationship between the sides and angles of a triangle. It states that the sine of one of the angles in a triangle is equal to the ratio of the length of the side opposite that angle, divided by the length of the hypotenuse. The formula can be written as:
sin(A) = a / c
where A is one of the angles in the triangle, a is the length of the side opposite angle A, and c is the length of the hypotenuse. The sine rule is commonly used to find the length of one side of a triangle when the lengths of the other two sides and one angle are known. Another form of the sine rule is the "ambiguous case" formula, which can be used to find one of the angles in a triangle when the lengths of all three sides are known:
a / sin(A) = b / sin(B) = c / sin(C)
where A, B, and C are the angles in the triangle, and a, b, and c are the lengths of the sides.
In the given problem, we can simply substitute the values into the formula and then solve for the unknown angle.
a / sin A = b / sin B = c / sin C
But since we don't know the value of BC, we can find that first using cosine rule.
a² = b² + c² - 2(bc) cos A
a² = 9² + 6² -2(9)(6)cos80
a² = 98.23
a = √98.23
a = 9.9
Going back to using sine rule;
a / sin A = b / sin B = c / sin C
9.9 / sin 80 = 6 / sin C
sin C = (6 sin 80) / 9.9
sin C = 0.5968
C = sin⁻¹(0.5968)
C = 36.64°
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EASY POINTS, PLEASE HELP ASAP, WILL MARK FIRST ANSWER BRAINLESIT,
restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $8.50
4 $11.50
5 $13.00
8 $17.50
Which of the following graphs shows the relationship given in the table?
Answers
Answer: The last graph
Step-by-step explanation:
i did the test on flvs .
The last graph shows the relationship given in the table
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope = 11.50-8.5/4-2
=1.5
Let us take a point (5, 13), let us check this point which correctly matches the graph
Hence, the last graph shows the relationship given in the table
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What is 2/7 turned into a decimal
Answers
Answer:
0.29
Step-by-step explanation:
Answer:
0.285714
Step-by-step explanation:
Pls help me right now Convert the following common fractions into Percentages
1. 5/8
2. 8/9
Answers
2. 8/9 = 88.889%
Hello!
The following common fractions converted into percentages...
[tex]\frac{5}{8}=[/tex] 62.5%
[tex]\frac{8}{9} =[/tex] 88.8% repeating
Step-by-step explanation:
To convert a common fraction into a percentage you must first convert the fraction to a decimal and then multiply by 100
Hope this helps!
The jug shown below contains some water.
How many litres of water does this jug contain?
300 ml
- 250 ml
200 ml
- 150 ml
• 100 ml
50 ml
Answers
Answer:
1050 ml ÷1000 = 1.05 liters of water
Step-by-step explanation:
I think this is right!!
Have a good rest of your day please mark brainiest
Someone help please!!
Answers
Answer:
Last option: 4a³
Step-by-step explanation:
Adding up the terms in the a³ column we get
12a³ -6a³ -2a³ = B
B = 12a³ -6a³ -2a³
B = (12 - 6 -2)a³
B = 4a³ ANSWER
Last choice in the answer choices
What is Csc Sec Cot in Trigonometry?
Answers
Cosecant, Secant, and Cotangent are the three trigonometric functions that are, respectively, abbreviated as Csc sec cot.
What is cosecant secant and cotangent used for?The three trigonometric functions for cosecant, secant, and cotangent are, respectively, denoted as Csc sec cot. Due to the fact that these functions are the reciprocals of the sine, cosine, and tangent functions, respectively, they are also known as the reciprocal trigonometric functions.
Secant or sec is expressed as 1/cos, cotangent or cot is represented as 1/tan, or cos/sin, and cosecants or Csc are represented as 1/sin, [tex]$$Cos^{-1[/tex] and 1/cos should not be mistaken with one another because they are significantly different. The reciprocal of cos is 1/cos, and inverse cos is used to find angles.
The relationship between the sides and angles of a right-angled triangle is known as a trigonometric ratio. The ratio of the neighboring side to the opposite side is known as a cotangent.
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in a normal distribution, what is the probability that a data value is:less than two standard deviations from the mean?
Answers
The probability that a data value is less than two standard deviations from the mean is 95.45%.
In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.
If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.
Therefore, the probability that a data value is less than two standard deviations from the mean is 95.45%.
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The probability that a data value is less than two standard deviations from the mean is 95.45%.
In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.
If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.
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victor, a recent high school student, took the sat exam in 2019 and got a 600 in all three components (critical reading, math, and writing). he was interested in how well he did compare to the rest of his peers. the table below shows the summary statistics for all students in 2019. component mean standard deviation critical reading 497 115 math 513 120 writing 487 115 which of victor's three scores is the least unusual relative to his peers? in which component did victor perform best relative to his peers? provide a brief explanation for your answers that includes all supporting work.
Answers
Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%
Let's start defining the random variable X.
X : '' SAT critical reading scores from the 2019 school year for high school students in the United States ''
We know that X ~ N (μ,σ)
Where μ is the mean and σ is the standard deviation.
⇒ X ~ N (497,115)
If we want to calculate probabilities related to X we need to standardized the random variable. We do this by subtracting the mean to X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)
We can find the probabilities of ''Z'' in any standard normal table.
The cumulative distribution of ''Z'' is the function Φ where :
P ( Z ≤ a ) = Φ (a)
Now, we need to calculate the following probability :
= P ( 120 < [tex]X[/tex] < 513 )
If we standardized this :
= P ( [tex]\frac{120-497}{115}[/tex] < [tex]\frac{X-497}{115}[/tex] < [tex]\frac{513-497}{115}[/tex] )
We know that [tex]\frac{X-497}{115}[/tex]≅ Z ⇒
= P ( [tex]\frac{120-497}{115}[/tex] < [tex]Z[/tex] < [tex]\frac{513-497}{115}[/tex] )
= P ( [tex]\frac{120-497}{115}[/tex] < [tex]Z[/tex] < [tex]\frac{513-497}{115}[/tex] )
= P ( -3.27 < [tex]Z[/tex] < 0.139 )
= Φ(-3.27) - Φ(0.139)
= 0.9898 - 0.4509
= 0.5389
= 53.89% ≅ 53.8%
Therefore,
Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%
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Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%
Let's start defining the random variable, X.
X: '' SAT critical reading scores from the 2019 school year for high school students in the United States ''
We know that X ~ N (μ,σ)
Where μ is the mean and σ is the standard deviation.
⇒ X ~ N (497,115)
If we want to calculate probabilities related to X we need to standardize the random variable. We do this by subtracting the mean from X and then dividing by the standard deviation. This new random variable will be ''Z'' and Z ~ N (0,1)
We can find the probabilities of ''Z'' in any standard normal table.
The cumulative distribution of ''Z'' is the function Φ where :
P ( Z ≤ a ) = Φ (a)
Now, we need to calculate the following probability :
= P ( 120 < < 513 )
If we standardized this :
= P ( < < )
We know that ≅ Z ⇒
= P ( < < )
= P ( < < )
= P ( -3.27 < < 0.139 )
= Φ(-3.27) - Φ(0.139)
= 0.9898 - 0.4509
= 0.5389
= 53.89% ≅ 53.8%
Therefore,
Victor, a recent high school student, took the sat exam, then the probability (given as a percentage) is 53.8%
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Frank had $65. He pent $2 per day for 7 day. Then he wa given $9 to divide equally between himelf and hi 2 brother. The following expreion can be ued to find the amount of money Frank had after that. 65 - 2 ⋅ 7 9 ÷ 3
Baed on thi expreion, what i the amount of money Frank had remaining?
Answers
Frank has $54 left with him from the initial $65.
Now, Frank had $65 with him initially.
It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.
Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.
Each brother (including Frank) gets $3 after the equal division.
Now, we have an expression in our hand:
65 - 2x7 + 9/3
Where, 2x7 implies the $14 he spent in the week
9/3 implies the division of money between him and his two brothers.
Solving the expression,
65 - 14 + 3 = $54
Thus, Frank has $54 left with him from the initial $65.
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Frank has $54 left with him from the initial $65.
Now, Frank had $65 with him initially.
It is given that he spent $2 per day for 7 days (a week), implying that he spent $2 x 7 = $14 total.
Now, it is also given that he had to divide $9 between him and his brothers equally, i.e., 9/3 = $3.
Each brother (including Frank) gets $3 after the equal division.
Now, we have an expression in our hand:
65 - 2x7 + 9/3
Where 2x7 implies the $14 he spent in the week
9/3 implies the division of money between him and his two brothers.
Solving the expression,
65 - 14 + 3 = $54
Thus, Frank has $54 left with him from the initial $65.
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56 out of the 80 students at a school simply were first graders what percentage of the students at the assembly were first graders
Answers
Answer:
70%
Step-by-step explanation:
56 / 80 x 100 = 70%
Between 1590
and 1613, William Shakespeare wrote many famous plays.
About 2/5
of his plays are comedies, such as The Merchant of Venice. About 3/10
are tragedies, such as Romeo and Juliet.
Give an equivalent fraction for each fraction using the common numerator 6
.
2/5= ?
3/10 = ?
I need help please
Answers
The equivalent fractions, with a common numerator of 6, are given as follows:
2/5 = 6/15.3/10 = 6/20.How to obtain the equivalent fractions?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
The terms are named as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Equivalent fractions are fractions for which the ratio of the numerator and the denominator is the same.
For fraction 2/5, the numerator is of 2, hence 6/2 = 3 and the equivalent fraction is obtained as follows:
(2 x 3)/(5 x 3) = 6/15.
For fraction 3/10, the numerator is of 3, hence 6/3 = 2 and the equivalent fraction is obtained as follows:
(2 x 3)/(2 x 10) = 6/20.
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