Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDA
Answers
Starting at vertex A and using the nearest neighbor algorithm, the path is: A-C-B-D-A, with a total distance of 95. This means visiting vertices in the order A, C, B, D, and back to A, and the total distance traveled is 95 units.
The nearest neighbor algorithm is used to find the shortest path between a set of points. Here are the steps to apply the algorithm in this case
Start at vertex A. Look for the closest neighboring vertex to A. In this case, the closest vertex is B, which is 7 units away from A. Move to vertex B and mark it as visited. Look for the closest neighboring vertex to B that has not been visited. In this case, the closest vertex is C, which is 11 units away from B.
Move to vertex C and mark it as visited. Look for the closest neighboring vertex to C that has not been visited. In this case, the closest vertex is D, which is 18 units away from C. Move to vertex D and mark it as visited.
Look for the closest neighboring vertex to D that has not been visited. In this case, the closest vertex is B, which is 15 units away from D. Move to vertex B and mark it as visited.
Look for the closest neighboring vertex to B that has not been visited. In this case, the closest vertex is E, which is 20 units away from B. Move to vertex E and mark it as visited.
Look for the closest neighboring vertex to E that has not been visited. In this case, the closest vertex is A, which is 24 units away from E. Move to vertex A and mark it as visited. All vertices have been visited, so the algorithm is complete.
The list of vertices visited, starting and ending at A, is A, B, C, D, B, E, A and the distance is 95.
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Related Questions
In a survey, 54.5% of respondents have portable earbuds and 30% of the respondents who have portable earbuds also have a smart speaker. What is the probability that a respondent has both portable earbuds and a smart speaker? If necessary, round to the nearest hundredth of a percent.
Answers
The probability that a respondent has both portable earbuds and a smart speaker is 0.16
What is the probability that a respondent has both portable earbuds and a smart speaker?From the question, we have the following parameters that can be used in our computation:
54.5% of respondents have portable earbuds 30% of the respondents who have smart speaker.This means that
P(earbuds) = 54.5%
P(smart speaker) = 30%
Using the above as a guide, we have the following:
P = P(earbuds) * P(smart speaker)
Substitute the known values in the above equation, so, we have the following representation
P = 54.5% * 30%
Evaluate
P = 0.16
Hence, the probability is 0.16
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Can the sides of a right triangle have lengths 7,9 and the square Root of 155
Answers
Answer:
No
Step-by-step explanation:
In order for a triangle to be a right angle, the sum of the squares of the two legs (a and b) must be equal the square of the longest side, known as the hypotenuse (c):
[tex]a^2+b^2=c^2[/tex]
The square root of 155 is the longest side as it is approximately 12.45. Thus, if the triangle is a right triangle, the square root of 155 must be the hypotenuse.
We can now check to see whether the sum of the squares of 7 and 9 equal the square of the square root of 155:
[tex]7^2+9^2=(\sqrt{155})^2\\ 49+81=155\\130=155[/tex]
The equation is not true since 130 is less than and not equal to 155. Therefore, a triangle with side lengths 7, 9, and the square root of 155 cannot be a right triangle.
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
Answers
The equation accurately represents this statement is "Negative 3 less than 4.9 times a number, x, is the same as 12.8"
how to determine the equation that accurately represents the statementThe statement is "Negative 3 less than 4.9 times a number, x, is the same as 12.8." We can break it down into two parts:
"4.9 times a number, x": This means we need to multiply a number, x, by 4.9. So the first part of the equation is 4.9x.
"Negative 3 less than 4.9 times a number, x, is the same as 12.8":
This means we need to subtract 3 from the result of multiplying x by 4.9. So the second part of the equation is -3.
Putting it all together, we get:
4.9x - 3 = 12.8
This equation accurately represents the given statement.
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I would love some help please 18-20
Answers
18. C
(m / 2) - 6 = (m / 4) + 2
---Multiply everything by the LCM of the denominators
---LCM = 4
2m - 24 = m + 8
m - 24 = 8
m = 32
19. A
k / 12 = 25 / 100
---We can simplify 25/100
---We want to simplify enough to where the denominator of 25/100 is a multiple or factor of 12
k / 12 = 1 / 4
---4 x 3 = 12, 1 x 3 = 3
k = 3
20. A
9 / 5 = 3x / 100
---Cross multiply and solve algebraically
(5 * 3x) = (9 * 100)
15x = 900
x = 60
Hope this helps!
19.A
20.A
are the answers
find x
find x
find x
Answers
Add the total length + the length outside of the circle and set it equal to the other segment’s total length + the length outside of the circle. Like this: (10+8)(8) = x(18 + x).
Then simplify to 144 = x^2 + 18x.
Use the quadratic formula (see picture), and x=6, x=-24. Except x ≠ -24 because the length cannot be a negative value. So x = 6!!
Here is a picture of my work:
I’m on my phone so it’s harder to type out the equations. Hope this helps!
In the coordinate plane, the point X (-1, 0) is translated to the point X' (3, 1). Under the same translation, the points Y (2, 3) and Z (1, -2) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
Answers
The coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
To find the coordinates of Y' and Z', we need to apply the same translation that maps X to X'.
We know that the vector that connects X to X' is (3 - (-1), 1 - 0) = (4, 1).
So, to translate Y to Y', we add the vector (4, 1) to the coordinates of Y:
Y' = Y + (4, 1)
= (2, 3) + (4, 1)
= (6, 4)
Similarly, to translate Z to Z', we add the vector (4, 1) to the coordinates of Z:
Z' = Z + (4, 1)
= (1, -2) + (4, 1)
= (5, -1)
Therefore, the coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).
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Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
approximation for pi.
O 1.254 square meters
O 312 square meters
O2, 822 square meters
O 314 square meters
Answers
Answer:
(a) 1.254 square metersStep-by-step explanation:
We are given a figure, consisting of a right triangle with a circle cut out of it.
To Calculate : area of the shaded region below,
First Let's find the Area of the right triangle:
Area(triangle) = 1/2 × Base × Height
= 1/2 × 56 × 56
= 1/2 × 3136
= 3136/2
= 1568 m².
Now, We are diameter of the circle = 20 m
Radius of the circle = 20/2 = 10 m
Area of circle = πr²Acc. to question we have to use 3.14 as an
approximation for pi.
Area (circle) = 3.14 × 10 × 10
Area (circle) = 3.14 × 100
Area (circle) = 314 m²
Area of shaded region = Area of triangle - Area of circle =
= 1568 m² - 314 m²
= 1.254 square meters
Therefore, The approximate area of the shaded region is 1.254 square meters.
Option (a) is the required answer
Please Factorise 8x - 6
Answers
Answer:
2(4x-3)
Step-by-step explanation:
Find common numbers between 8 and 6, which is 2. 2x4= 8 2x3=6
x is only on 8 so you can't put x on the outside of the bracket. so you put it with the 4 so it comes out correct
Ali had 3469 bags of maize each weighing 90 kg.Hesold 2654 of them. How many kg of maize was he left with?
Answers
The number of kg of maize was left with Ali is 73350 Kg.
Given that, Ali had 3469 bags of maize each weighing 90 kg.
Ali sold 2654 of them.
Number of bags left = 3469-2654
= 815
Number of Kg's of maize left = 815×90
= 73350 Kg
Therefore, the number of kg of maize was left with Ali is 73350 Kg.
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Kyle has three times as much money in his savings account as Hayden Hayden has twice as much money in his savings account as Jeremy combine Kyle Hayden and Jeremy have a total of 612 how much money does Kyle have in his account
Answers
Kyle has $306 in his account so, right answer is Option D.
Let Kyle's money = x
Hayden's money = y
Jeremy's money = z
Given that Kyle has three times as much money in his savings account as Hayden.
x = 3y .....Eqn 1
Hayden has twice as much money in his savings account as Jeremy.
z = 2y ..... Eqn 2
Now Combined Kyle, Hayden, and Jeremy have a total of $612.
x+y+z=612 .....Eqn 3
Putting value of x and z from Eqn 1 and 2 in Eqn 3
6y = 612
y = 106
Putting in Eqn 1;
x = 306
Thus, Kyle has $306 in his account.
The right answer is Option D.
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Do you use integration by parts to solve this problem? If so, how? I can't seem to figure out the right answer
Answers
The integral of [tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] is (2/3)[tex]e^{3/2}[/tex] - (4/9).
To find the integral of [tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] , we can use integration by parts. Let u = ln x and dv = [tex]x^{1/2}[/tex] dx. Then du/dx = 1/x and v = (2/3) [tex]x^{3/2}[/tex] .
Using the formula for integration by parts, we have:
∫[tex]x^{1/2}[/tex]lnx dx = uv - ∫v du/dx dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - ∫(2/3) [tex]x^{3/2}[/tex] * (1/x) dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - (2/3) ∫ [tex]x^{1/2}[/tex] dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - (4/9) [tex]x^{3/2}[/tex] + C
where C is the constant of integration.
To evaluate the definite integral from 1 to e, we substitute e for x in the expression above and subtract the result when x = 1:
[tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] = [(2/3) [tex]e^{3/2}[/tex] ln e - (4/9) [tex]e^{3/2}[/tex] ] - [(2/3)[tex]1^{3/2}[/tex]ln 1 - (4/9)[tex]1^{3/2}[/tex]]
= (2/3) [tex]e^{3/2}[/tex] - (4/9)
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Emergency, please answer me! Are you 18+ because you will get 18 Points? Employees at a construction company are building a fence around the perimeter of a work site! The Perimeter of the work site is 1/4 Mile! The cost of the fence is $20.00 per yard!
What is the total cost of the fence needed for the Perimeter of the work site?
Answers
The total cost of the fence needed for the Perimeter of the work site is $8,800. So the answer is option B.
Because the question involves many units of measurement, we must convert them all to the same unit in order to determine the answer.
1/4 mile is equivalent to 1320 feet (1 mile = 5280 feet).
The length of the fence required to surround the work site equals the perimeter of the work site. To calculate the length of the fence in yards, divide 1320 feet by 3 (since a yard is 3 feet long).
1320 feet ÷ 3 = 440 yards
So the length of the fence needed is 440 yards.
The fence costs $20.00 per yard, thus to get the total cost, multiply the length of the fence by the cost per yard:
440 yards x $20.00/yard = $8,800.00
Therefore, the total cost of the fence needed for the perimeter of the work site is $8,800.00.
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Suppose that 11,000 is invested in a bond fund and the account grows to 14,539.95 in 5 yr.
Answers
Answer:
Step-by-step explanation:
11000*14539.95
7.1483737364203627356954981215625 × 10^24
is the answer
Marc conducted a gravity experiment for a school science project. He found the experimental value of gravity to be 10.14 m/s2. The accepted value of gravity is 9.81 m/s2. What is Marc’s approximate percent error?
Answers
Answer:
3.36%
Step-by-step explanation:
(10.14-9.81)/(9.81)(100)=3.36% error
The cube root of the product of x and y, less twelve
Answers
The expression "the cube root of the product of x and y, less twelve" can be mathematically represented as ³√(xy) - 12.
To understand this expression, let's break it down step by step:
Product of x and y:
We multiply the values of x and y together to find their product, denoted as xy.
Cube root of the product:
We take the cube root of the product obtained in the previous step.
The cube root of a number x is the value that, when raised to the power of 3, equals x. In this case, we take the cube root of xy, represented as ³√(xy).
Subtract twelve:
Finally, we subtract twelve from the result obtained in the previous step, ³√(xy). This gives us the expression ³√(xy) - 12.
The expression ³√(xy) - 12 represents a mathematical operation involving the cube root of the product of x and y, followed by subtracting twelve from the result.
This can be useful in various mathematical contexts, such as solving equations or modeling real-world problems.
It's important to note that the expression is dependent on the values of x and y.
By substituting specific values for x and y, we can evaluate the expression to obtain a numerical result.
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2 grams =
milligrams
Answers
There are 2000 milligrams in 2 grams of a substance, and it constitutes 40% of a 5-gram sample.
How to solveConvert grams to milligrams:
2 grams = 2 * 1000 milligrams
2 grams = 2000 milligrams
Calculate the percentage in a 5-gram sample:
Percentage = (2000 milligrams / 5000 milligrams) * 100
Percentage = (2 / 5) * 100
Percentage = 0.4 * 100
Percentage = 40%
Thus, there are 2000 milligrams in 2 grams of a substance, and it constitutes 40% of a 5-gram sample.
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2 grams = milligrams
How many milligrams are there in 2 grams of a substance, and what is the percentage of this amount in a 5-gram sample?
3 1/2 be classified as integer
Answers
Answer:
False.
Step-by-step explanation:
A integer in math is defined as a whole number. Therefore, the presence of fractions (which, in this case, is 1/2) and decimals, would mean that the term is in fact, not a integer.
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USE THE FACTOR THEOREM
YES OR NO
Answers
Answer:
yes
Step-by-step explanation:
the factor theorem says if (x + a) is a factor of a polynomial f(x) then f(- a) = 0
given (x+ 5) then if f(- 5) = 0 , (x + 5) is a factor
4[tex](-5)^{4}[/tex] + 16(- 5)³ - 6(- 5)² + 73(- 5) + 15
= 4(625)+ 16(- 125) - 6(25) - 365 + 15
= 2500 - 2000 - 150 - 350
= 500 - 500
= 0
then (x + 5) is a factor of the given polynomial
The table below shows the amount of time 80 people spent watching television during a week.
Time (hours)
Frequency
0 < h ≤ 10
5
10 < h ≤ 20
15
20 < h ≤ 30
50
30 < h ≤ 40
10
Calculate an estimate for the mean time spent watching television.
Give your answer to 1 d.p.
Answers
An estimate for the mean time spent watching television is approximately 24.375 hours.
How to calculate the meanMidpoint of 0 < h ≤ 10 = (0 + 10) / 2 = 5
Midpoint of 10 < h ≤ 20 = (10 + 20) / 2 = 15
Midpoint of 20 < h ≤ 30 = (20 + 30) / 2 = 25
Midpoint of 30 < h ≤ 40 = (30 + 40) / 2 = 35
Sum of observations = (5 × 5) + (15 × 15) + (25 × 50) + (35 × 10) = 125 + 225 + 1250 + 350 = 1950
Total number of observations = 5 + 15 + 50 + 10 = 80
Mean = Sum of observations / Total number of observations = 1950 / 80 = 24.375
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Factor the polynomial completely. If the polynomial is prime, so state.
x2 - x - 35
Answers
The given polynomial is a prime polynomial.
The given polynomial is
x² - x + 35
Since we know that discriminant of quadratic polynomial
p(x)= ax² + bx + c is b² - 4ac
Therefore, discriminant of the given polynomial be,
⇒ (-1)² - 4x1x35
⇒ - 139
Since discriminant is negative number so it has no real roots.
And an irreducible or primal polynomial is a polynomial with integer coefficients that cannot be factored into polynomials of lower degree and also with integer coefficients.
Hence it is not factored completely.
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The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
Answers
The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to solveTo obtain measures of spread, we can use the dot plot to visualize the frequency of each observation in the data-set, and then calculate the interquartile range (IQR).
For a group of 15 students, we can find the quartiles as follows:
The first quartile (Q1) is the median of the first half of the data-set, which consists of the first seven students.
Looking at the dot plot, the fourth dot represents the median of the first half. For Bus 14, Q1 = 12. For Bus 18, Q1 = 9.
The third quartile (Q3) is the median of the second half of the data-set, which consists of the last seven students. Looking at the dot plot, the eleventh dot represents the median of the second half. For Bus 14, Q3 = 18.
For Bus 18, Q3 = 16.
We can then calculate the IQR as the difference between Q3 and Q1:
For Bus 14, IQR = Q3 - Q1 = 18 - 12 = 6.
For Bus 18, IQR = Q3 - Q1 = 16 - 9 = 7.
Based on the IQR values, we can conclude that Bus 14 is more consistent than Bus 18, as it has a lower IQR.
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[tex]-2-\frac{5}{4} x=13\\[/tex]
Answers
Therefore, the solution to the equation -2 - 5/4x = 13 is x = -12.
What is equation?A mathematical statement proving the equality of two expressions is known as an equation. Variables, numbers, and mathematical operations like addition, subtraction, multiplication, and division are frequently included. In addition to representing a connection between variables, an equation may also be used to find an unknown number. As they enable us to define and evaluate connections between things and make predictions about how they will behave under various circumstances, equations are a crucial tool in many domains, including mathematics, physics, engineering, and many more.
To solve for x in the equation -2 - 5/4x = 13, you can follow these steps:
Add 2 to both sides of the equation to isolate the fraction on the left side:
-2 - 5/4x + 2 = 13 + 2
-5/4x = 15
Multiply both sides of the equation by -4/5 to get x by itself:
(-4/5) * (-5/4x) = (-4/5) * 15
x = -12
Therefore, the solution to the equation -2 - 5/4x = 13 is x = -12.
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please help me with this problem
Answers
Make log 9 x the subject and substitute 14-4y. Then, solve the equation like the picture attached
Ask me if there’s any more question ;)
Based on the scenario, determine if it would be better to use the mean or median to describe the data set.
1 Workers at a plant are trying to show that they work too many hours. There are five part-time workers along with ten full time workersWhat summary statistic would best defend their position?
2Mrs. Smith is trying to show that her class did really well on the last test. She has four students that should have been in honors mathbut instead stayed in regular math. What summary statistic should she use to defend her position?
3. A CEO is trying to determine the average salary of his workersHe has some workers that work part- time and some very highly paid workersIf he wants a true idea of the average salarywhat summary statistic should he use?
4. Henry is trying to determine his average test grade in a class. All of his grades have been within five points of each other. He needs the average in order to calculate his overall gradeWhat summary statistic should he use?
____median
____median
____mean
____mean
Answers
1. It would be better to use the median to describe the data set.
2. It would be better to use the median to describe the data set.
3. It would be better to use the mean to describe the data set as the average salary of the workers is to be calculated.
4. It would be better to use the mean to describe the data set as the average test grade of the class is to be calculated.
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17. The Amethyst Woodstar species of
hummingbird beats its wings about
80 times per second. If there are
60 seconds in a minute, about how
many times does the Amethyst
Woodstar beat its wings in
9 minutes?
A 12,600
B 37,800
C50,400
D 43,200
Answers
Answer: D
Step-by-step explanation: 60x9=540 and 540x80=43,200
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Answers
Answer:
x=9km
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The hypotenuse is [tex]c^{2}[/tex], so the equation will be
[tex]12^{2}[/tex] + [tex]b^{2}[/tex] = [tex]15^{2}[/tex]
Evaluating the equation gives us
144 + [tex]b^\\{2}[/tex] = 225
Subtract 144 from each side to have [tex]b^{2}[/tex] alone
[tex]b^{2}[/tex] = 81
square root on each side to get rid of the exponent
[tex]\sqrt{b^2[/tex] = [tex]\sqrt{81}\\[/tex]
[tex]\sqrt{b^2[/tex]'s square root is b and [tex]\sqrt{81[/tex]'s is 9,-9, giving us b=±9
As distance cannot be negative, x = 9km
Answer please!!! Will be very thankful
Answers
The estimate of the cost for a 20-ft cord is given as follows:
$74.66.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in the context of the problem are given as follows:
(3, 12.75), (5, 16), (6, 25.99), (50, 185).
Inserting these points into a calculator, the regression equation is given as follows:
y = 3.6794x + 1.06462.
Hence the estimate of the cost for a 20-ft cord is given as follows:
y = 3.6794(20) + 1.06462
y = $74.66.
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Can someone help me I dont understand this :(
Answers
Check the picture below.
Question 1 of 10
The function f(x) is shown in this graph.
The function g(x) = -2x - 5.
Compare the slopes and y-intercepts.
Answers
A. The slopes are the same but the y - intercepts are different.
What is a slope in a graph?In a graph, the slope is the steepness of a line, which is a measure of how quickly the y-coordinate changes with respect to the x-coordinate. It is represented by the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
The slope is often denoted by the letter m, and is calculated as:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
What is Y-intercept in a graph?In a graph, the y-intercept is the point where a line or curve intersects the y-axis. It is the value of the dependent variable (usually denoted by y) when the independent variable (usually denoted by x) is equal to zero.
The y-intercept is often denoted by the letter b, and is expressed as a coordinate point (0, b), where 0 represents the x-coordinate and b represents the y-coordinate. For example, in the equation of a line y = mx + b, the y-intercept is the value of b.
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College Level Trig Question!
Answers
The value of theta in the given trigonometry function is 45⁰.
What is the value of theta?The value of theta in the given trigonometry function is calculated as follows;
9 sin²θ tanθ - 9 sin²θ = 0
Solve the equation as follows;
9 sin²θ tanθ = 9 sin²θ
divide both sides by 9 sin²θ;
(9 sin²θ tanθ)/9 sin²θ = 9 sin²θ /9 sin²θ
tanθ = 1
Now, solve for θ as follows;
θ = tan⁻¹ (1)
θ = 45⁰
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