The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.
1. Initialize a set of initial guesses for the roots of the polynomial.
2. Calculate the value of the polynomial at each of the initial guesses.
3. Calculate the derivative of the polynomial at each of the initial guesses.4. Calculate the new root value by subtracting the value of the polynomial at the current guess divided by the derivative of the polynomial at the current guess.
5. Repeat steps 3 and 4 until the values of the roots converge.
6. The final set of roots is the answer.
The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.
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Which club has the greater initial value? Which club has the greater rate of change?
Describe what this means in the context of the problem.
3 Lesson 7 Compare Functions
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The initial value of A is 3, The initial value of B is 2.25 and club B has a greater rate of change.
What is function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
The graph of club A and the values of club B is given,
Calculate the initial value of A and B as shown below,
The initial value of A = 3,
The initial value of B = 2.25
Hence, A has a greater initial value,
Calculate the rate of change as shown below,
The rate of change for club A = 3.75 / 2.25
The rate of change for club A = 1.67
The rate of change for club B = 4 / 3
The rate of change for club B = 1.33
Thus, the rate of change is higher for club B.
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A surveyor measures the angle of elevation to a point on a mountain to be 12. The point on the mountain is horizontally 5 miles away from the surveyor. The vertical change in elevation from the point where the surveyor is standing to the point on the mountain is _____ miles. (Round your answer to the nearest hundredth of a mile.)
The vertical change in elevation is 1.06 miles.
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, the tangent of an angle,
tan 12° = x / 5 miles
The value of x from the equation is 1.06 miles.
Thus, the vertical change in elevation is 1.06 miles.
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The vertical change in elevation from the point where the surveyor is standing to the point on the mountain = 1.06 miles
Here, angle of elevation θ = 12°
Let y be the the vertical change in elevation from the point where the surveyor is standing to the point on the mountain and x be the horizontal distance between the point on the mountain and the surveyor.
x = 5 miles
We need to find the value of y.
Consider tangent of angle of elevation θ
tan(θ) = y/x
tan(12°) = y/5
0.2126 = y/5
y = 0.2126 × 5
y = 1.06 miles
So, the vertical change in elevation = 1.06 miles
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please help quickly
x=___ Write the answer in decimals
Answer:
26
Step-by-step explanation:
9=x+1
5=10÷3
9=x+1
5=3.333°
Now you need to find scale factor (sf)
5÷3.333°=1.5
SF=1.5
9÷3.333=2.7
2.7-1=1.7
x=1.7
Answer:
x = 5
Step-by-step explanation:
Given PQRS ~ UVWT and PQ = 5, RS = 9, UV = 10/3, WT = x+1, you want the value of x.
Similar polygonsCorresponding side lengths of similar polygons are proportional. This means ...
WT/UV = RS/PQ
(x+1)/(10/3) = 9/5 . . . . . . . . . . . substitute given values
Multiplying by 10/3 gives ...
x +1 = (10/3)(9/5) = 6
x = 5 . . . . . . . . . subtract 1
Is the data set "distance a baseball travels after being hit" quantitative or qualitative? if it is quantitative, is it discrete or continuous? a. qualitative b. quantitative, continuous c. quantitative, discrete d. neither please select the best answer from the choices provided a b c d
The dataset is quantitative and continuous.
Quantitative data is gathered by measuring and counting. Qualitative data is collected by interviewing and observing. Quantitative data is analyzed using statistical analysis, while qualitative data is analyzed by grouping it in terms of meaningful categories or themes. Quantitative data is anything that can be counted or measured; it refers to numerical data. Qualitative data is descriptive, referring to things that can be observed but not measured—such as colors or emotions.
Discrete data and continuous data are both types of quantitative data. The main difference between them is the type of information they represent. Discrete data typically only shows information for a particular event, while continuous data often shows trends in data over time. The type of data that has clear spaces between values is discrete data. Continuous information is information that falls into a continuous series. Discrete data is countable. Continuous data is measurable. There are distinct or different values in discrete data.
Given that the data set "Distance a baseball travels after being hit" has been provided.
Considering that numbers can be used to express it.
Therefore, the data set must be quantitative.
Since a baseball will move in an uninterrupted curve after being hit,
It would therefore be a continuous function.
Thus, the dataset is quantitative and continuous.
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Answer:
quantitative, continous
Sam's mother is 125% of Sam's height. If his mother measures 150 cm, how tall is Sam?
Sam's height given the percentage and height of his mother is 120 cm
What is Sam's height?Sam's height = xPercentage of Sam's mother height = 125% of xSam's mother height = 150 cmIn order to find Sam's height, x, equate the Percentage of Sam's mother height to Sam's mother height
Percentage of Sam's mother height = Sam's mother height
125% of x = 150
1.25 × x = 150
1.25x = 150
x = 150/1.25
x = 120 cm
Therefore, Sam's height is 120 cm if the percentage of his mother's height is is 125% of Sam's height.
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An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: A. y = 4x B. x=2y C. y = x D. ax = 2y
The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).
To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.
The derivative of
y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).
At the origin, x = 0, so the slope of the tangent at the origin is
y' = (1/2)cos(0) = 1.
Therefore, the equation for the tangent to the graph of
y = arcsin(x/2) at the origin is y = x, which has a slope of 1.
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Find an equivalent ratio in simplest terms:
54:12
Answer: 9/2
Step-by-step explanation:
Answer:
9:2
Step-by-step explanation:
Find the HCF of the numerator and denominator which is 6.
Divide the numerator and denominator by the HCF (54÷6)÷(12÷6)
The answer will be 9÷2 which is also 9:2
7. Use the dot product to determine which of the following vector pairs are
orthogonal,
A. v, (22,15) and v₂ = (-2,4)
Part I: Multiply the two x-coordinates of the vectors and the two y
coordinates of the vectors. Write each product below. (2 points)
The vector pairs v, (22,15) and v₂ = (-2,4) are not orthogonal.
What is vector algebra?Vector algebra entails performing algebraic operations on vectors. Vector algebra performs algebraic operations on vector magnitude and vector direction. Many applications in physics and engineering use vector algebra to perform addition and multiplication operations on physical quantities represented as vectors in three-dimensional space.
Given that the vector pairs are v, (22,15) and v₂ = (-2,4). For the vectors to be orthogonal the dot product should be equal to zero.
Calculate the dot product for the given points,
V = ( 22i + 15j) . ( -2i + 4j )
V = -44 + 60 Here, (i.i =1 and j.j = 1)
V = 16
The dot product is not equal to zero. Hence, the vectors are not orthogonal.
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The following is NOT a relational database Oracle DB O MySQL MongoDB Microsoft Access 2 pts Question 10 The following are the Pivot chart areas Sum Range O Values O Filters
Microsoft Access is NOT a relational database .
A relational database is a database that uses the relational model of data, which was first put forth by E. F. Codd in 1970. [1] A relational database management system is a program used to maintain relational databases (RDBMS). Many relational database systems offer the ability of querying and modifying the database using SQL (Structured Query Language).
An individual key identifies each row in a relational model, which groups data into one or more tables (or "relations") containing columns and rows. Records or tuples are other names for rows. [12] Attributes are another name for columns.
Each table or relation typically represents one "entity type" (such as customer or product). The columns indicate values associated with that instance, while the rows are instances of that sort of entity (such as "Lee" or "chair") (such as address or price).
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A retail clothing store offers customers an opportunity to open up a credit card during checkout. one location of the retail clothing store states that the number of credit cards, a, that are opened t months since january can be modeled by the function a(t) = 15 3t. the number of credit cards opened at another location, b, is defined by the function b(t) = 25 − t. what is an expression that can be used to determine the total amount of credit cards opened at the two locations? (a b)(t) = 40 4t (a b)(t) = 40 2t (a − b)(t) = −10 2t (a − b)(t) = −10 4t
The total number of credit cards assigned at 2 locations are 44t + 25.
We can find the total number of credit cards opened at the two locations by adding the number of credit cards opened at each location. In this case, that means adding the functions a(t) and b(t).
The function for the number of credit cards opened at location a is a(t) = 15 * 3t
The function for the number of credit cards opened at location b is b(t) = 25 - t
So, to find the total number of credit cards opened at the two locations, we can add those two functions:
Total(t) = a(t) + b(t)
= (15 * 3t) + (25 - t)
= 45t + 25 - t
= (45 - 1)t + 25
= 44t + 25
This is the expression that can be used to determine the total amount of credit cards opened at the two locations.
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An expression that can be used to determine the total amount of credit cards opened at the two locations (a + b)(t) = 40 + 2t
In this question we have been given one location of the retail clothing store states that the number of credit cards, a, that are opened t months since january can be modeled by the function a(t) = 15 + 3t
And the number of credit cards opened at another location, b, is defined by the function b(t) = 25 − t
We need to find an expression that can be used to determine the total amount of credit cards opened at the two locations
Let the total number of credit cards that are opened at both the location together is nothing but the sum of functions a(t) and b(t)
So, the total number of credit cards
a(t) + b(t) = (15 + 3t) + (25 - t)
(a + b)(t) = 15 + 3t + 25 - t
(a + b)(t) = 15 + 25 + 3t - t
(a + b)(t) = 40 + 2t
Therefore, the required expression is (a + b)(t) = 40 + 2t
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I dont understand this problem i need help
Answer:
7
Step-by-step explanation:
Type your answer in decimal form. Do not round.
230 ounces =
cups
My answer was solved by here, 28.75, but I was not given an explanation, can someone explain how this answer could be gotten so I can understand better?
The equivalent ratio between ounces and cups is given as follows:
230 ounces = 28.75 cups.
How to make the conversion of units?Conversion of units are made applying the proportions, which are a fraction giving the unit rates between two units.
These fractions are then combined with basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.
The conversion rate from ounces to cups is given as follows:
1 ounce = 0.125 cups.
(a known conversion rate).
Hence the amount of cups equivalent to 230 ounces is calculated applying the proportion, which is the multiplication of 230 by 0.125, as follows:
230 x 0.125 = 28.75 cups.
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What is the slope of the line that passes through the points (6, -8) and (6, -3)? Write answer in simplest form
Applying the slope formula calculated from the points, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] , The answer is undefined.
What do you mean by slope?The slope of a line is a number that describes the steepness of the line and the direction in which it is sloping. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. The slope can be positive, negative, zero or undefined. A positive slope indicates that the line is rising from left to right, a negative slope indicates that the line is falling from left to right, a slope of zero indicates that the line is horizontal and an undefined slope indicates that the line is vertical.
What are intercepts?The intercepts of a line are the points at which the line crosses the x-axis and y-axis. A line can have zero, one, or two intercepts, depending on its slope and the position of the line in the coordinate plane. The x-intercept of a line is the point at which the line crosses the x-axis. It is the point at which the y-coordinate is equal to zero. The y-intercept of a line is the point at which the line crosses the y-axis. It is the point at which the x-coordinate is equal to zero.
(x1,y1) = (6,-8)
(x2,y2) = (6,-3)
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
m=undefined (The points lie on vertical line.)
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The expression -370+13m represents a submarine that began at a depth of 370 feet below sea level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 9 minutes?
After 9 minutes, the submarine will be at a depth of +91 feet below sea level.
What is expression in math?Expression in math is a combination of numbers, symbols, and operations that represents a value or a mathematical relationship. It is written in a symbolic form, and can be evaluated to produce a numerical value or a logical result. Expressions are used to represent mathematical equations, and can range from simple equations like 2+2 to complex equations involving multiple operations, variables, and functions.
This is calculated by subtracting 9 from the initial depth of 370 feet and then adding the change of 13 feet per minute for 9 minutes. Therefore, the expression -370+13m = +91.
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Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
All the prime factors of 80 in ascending order will be;
⇒ 2, 2, 2, 2, 5
What is Ascending order?The numbers arrange in order to least to greatest number is called Ascending order.
Given that;
The number is,
⇒ 80
Now,
The number 80 is written as a product of prime factors as;
⇒ 80 = 2 × 2 × 2 × 2 × 5
Thus, The ascending order of prime factors of 80 are,
⇒ 2, 2, 2, 2, 5
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20 points !! Select the correct answer. Given: TU || XW Prove: XW = 8
Option A is the correct answer because the missing step in the two column proof is;
Statement: XW/UT = XV/UV Reason: Corresponding sides of similar triangles are proportional
How to interpret Similar Triangles?Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. Thus, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Now, we see from the two column proof that ΔTVU ∼ ΔWVX. This means that corresponding sides of both triangles are proportional or have corresponding proportions.
Thus, we can say that;
XW/UT = XV/UV
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HELLPPPPPPPPPPP i cant get it
Answer:
Step-by-step explanation:
ME EITHER UGHHHHHHHH
the value of x is 3 and y is 5
Answer:
a) 2
b) 93
Step-by-step explanation:
a) 4x - 2y
4(3) - 2(5)
12 - 10
2
b) 2x^2 + 3y^2
2(3)^2 + 3(5)^2
2(9) + 3(25)
18 + 75
93
19+2p>0
…………………………………………
p > -19/2 is the solution for the given inequality.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given an inequality 19 + 2p >0
Solving the given inequality
19 + 2p >0
subtract 19 from both the sides
2p > -19
divide by 2 into both the sides
p > -19/2
Therefore, the solution for the inequality Given is p > -9.5.
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How much does it cost for 2 specials and 2 glasses of milk?
4 specials+2 glasses of milk=28.00$ 3 specials+4 glasses of milk=26.25$
The cost of 2 specials and 2 glasses of milk is $16
What is the cost of 2 specials and 2 glasses of milk?The first step is to determine the price of a special and a glass of milk.
The elimination method would be used to solve the given system of equations :
4s + 2m = 28 equation 1
3s + 4m = 26.25 equation 2
Where:
s = cost of one specials m = cost of one glass of milkMultiply equation 1 by 2
8s + 4m = 56 equation 3
Subtract equation 2 from equation 3:
5s = 29.75
Divide both sides of the equation by 5
s = 29.75 / 5
s = $5.95
Substitute for s in equation 1:
4(5.95) + 2m = 28
23.8 + 2m = 28
2m = 28 - 23.8
2m = 4.2
m = 4.2 / 2
m = $2.10
Cost of 2 specials and 2 glasses of milk = (2 x 2.10) + (2 x 5.95)
= $4.10 + 11.90 = $16
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During a person's commute to school, she spends 20 minutes driving 45 mph and 5 minutes stopped at red lights. What is the person's average speed during her commute
The person's average speed during her commute is 33.75 mph.
The speed of an object can be obtained by comparing the distance covered to the traveling time needed.
speed = distance / time
Take a look at the problem. As the information given is time in minutes and speed in miles per hour (mph), then we have to convert the time into an hour unit.
Total time = 20 minutes = 20/60 hour = 1/3 hour
Break time = 5 minutes
Commuting time = 20 - 5 = 15 minutes
= 15/60 hour = 1/4 hour
Given the speed = 45 mph, then the distance covered during commuting time is:
Distance = speed x time
= 45 x 1/4
= 11.25 miles
Then we can calculate the average time, by comparing the distance covered to the total time:
Average speed = distance / total time
= 11.25 / 1/3
= 33.75 mph
Thus the average speed during the commute is 33.75 mph.
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calculate the double integral R 3xy^2/x^2+1 dA R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} ·
Therefore , the solution of the given problem of integral comes out to be 8ln2 is solution for the integral expression.
Define integral.The region beneath a curve among two set limits is referred to as a definite integral. The representation of the definite integral for such a function of two variables), defined to reference to the x-axis, is ∫ baf(x)dx a b f (x) d x, where an is the lower bound and b is the upper bound.
Here,
Given :
[tex]\int\limits \int\limitsa_R[/tex] 3xy²/x²+ 1 dA
=> R = {(x, y) | 0 ≤ x ≤ 3, −2 ≤ y ≤ 2} ·
So,
=> [tex]\int\limits^1_{x=0} \int\limits^2_{y=-2}[/tex] 3xy²/x²+ 1 dxdy
=> [tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1 [tex]\int\limits^2_{y=-2}[/tex] y²
=>[tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1 ( y³/2)²dx
=> [tex]\int\limits^1_{x=0}[/tex] 3x / x²+ 1 (8 + 8 /3) dx
=> [tex]\int\limits^1_{x=0}[/tex] 16x/x²+ 1
=> 8 [ln(x²+ 1) ]
=> 8 [ln2 -ln1 ]
=>8ln2
Therefore , the solution of the given problem of integral comes out to be
8ln2 is solution for the integral expression.
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Which sign makes the statement true?
58% 4/5
< > =
Find the value of $x$ .
Two right triangles are shown, triangle A B C and triangle D E F. Angle B and angle E are marked as right angles. Angle C and angle F are marked as being congruent. For triangle A B C, side A C is labeled x inches and side B C is labeled 6 inches. For triangle D E F, side D F is labeled 12 inches and side E F is labeled 8 inches.
The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔABC and ΔDEF, we have
∠B = ∠D (Given)
∠C = ∠F (Given)
Then the triangles ΔABC and ΔDEF will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,
AC / DF = BC / EF
x / 12 = 6 / 8
x = 12 x 6 / 8
x = 72 / 8
x = 9 inches
The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.
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Tran is making fasnachts (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 8 pounds of butter and her recipe calls for
1
cup of butter per 2 dozen fasnachts. If 1 pound of butter is 2 cups,
then how many individual fasnacht doughnuts will Tran be able to
make?
He can make 32 dozen Fasnacht with 8 pounds of butter.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, She has 8 pounds of butter and 1 cup of butter can make 2 dozen Fasnacht. Also, 1 pound of butter is 2 cups thus 8 pounds of butter is equivalent to 16 cups.
1 cup of butter to make 2 dozen Fasnacht
then 16 cups of butter can be used to make 16×2=32 dozen Fasnacht
Hence, he can make 32 dozen Fasnacht with 8 pounds of butter.
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hello please solve this asap....,.!!!!!!!!!!!!!!!!
The simplification of the expression using laws of exponents is 2 × 3³ × 5
How to simplify the expression using exponent law?
Laws of exponents state that exponents of numbers or expressions are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent e.tc. That is:
mᵃ × mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
(mᵃ)ᵇ = mᵃᵇ
Note: The bases must be the same e.g. mᵃ and mᵇ have the same base
Given: (2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴)
(2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴) = (2⁵ × 3⁴ × (5²)²) / (3¹ × 2⁴ × 5⁴)
= (2⁵ × 3⁴ × 5⁴) / (3¹ × 2⁴ × 5⁴)
= 2⁵⁻⁴ × 3⁴⁻¹ × 5⁴⁻⁴
= 2¹ × 3³ × 5¹
= 2 × 3³ × 5
Thus, the expression simplifies to 2 × 3³ × 5
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Which situation shows a constant rate of change?
A. The total cost of gallons of milk compared with the number of
gallons bought
B. The weight of a puppy compared with its age in months
C. The average wind speed compared with the time of day
D. The height of a kicked soccer ball over time
The constant rate of change can be represented by the cost of milk. The correct option is (A).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
The options can be analysed as follows,
(A) Suppose the cost of milk per gallon be C.
And, the number of gallons be n.
Then, the total cost is given as nC.
Which implies that the total cost is proportional to the number of gallons.
It can be considered as a case of constant rate of change.
The remaining option do not show this type of relation.
Hence, the constant rate of change is shown by the cost of milk for number of gallons.
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I was wondering how do i solve this question?
The new co-ordinates of A' and B' will be A'(-6,15) and B'(-24,-3) respectively.
What is coordination?Coordination is the process of combining individual efforts for a common purpose. It involves the synchronization and integration of activities, resources, and decision-making to achieve a desired outcome. This process is essential for many activities, such as project management, team building, and problem solving. Coordination requires communication, collaboration, and understanding among all participants. It can involve the use of technology, such as project management software, to ensure everyone is on the same page. Coordination is an important part of any successful endeavor, as it ensures that all goals are met in a timely and efficient manner.
The distance between A' and B' will be the length of the line segment AB' which can be calculated by using the distance formula, i.e. distance = √((x2-x1)² + (y2-y1)²). Therefore, the distance of A'B' will be 30 units.
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5) when a positive integer n is divided by 4, the remainder is 3. which of the following could equal n for some integer t ?
An algebraic expression which could equal n for some integer t include the following: C. 4t - 1.
What is an integer?In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1)
How to determine n for some integer t?Since the remainder is equal to three (3) when a positive integer n is divided by 4, we would write an algebraic expression for the word problem and then evaluate it as follows;
n = 4t + 3
n = 4(t - 1) + 3
n = 4t - 4 + 3
n = 4t - 1.
Read more on integers here: brainly.com/question/17305372
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When a positive integer n is divided by 4, the remainder is 3. Which of the following could equal n for some integer t?
(A) 4t +2
(B) 4t
(C) 4t - 1
(D) 4t - 2
(E) 4t - 3
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
If a circle graph was constructed from the results, the lake activity that has a central angle of 54° is A. Kayaking.
How is the central angle determined?The central angle of each lake activity is computed as the proportion of the total number of campers in degrees.
A circle has 360°. Proportionately, this total is divided among the lake activities according to the number of campers who participated.
Lake Activity Number Degrees
of Campers
Kayaking 15 54° (15/100 x 360°)
Wakeboarding 11 40° (11/100 x 360°)
Windsurfing 7 25° (7/100 x 360°)
Waterskiing 13 47° (13/100 x 360°)
Paddleboarding 54 194° (54/100 x 360°)
Total number 100
Thus, Kayaking, proportionately, has a central degree of 54°.
Learn more about central degrees and proportions at https://brainly.com/question/1496357 and https://brainly.com/question/1616132
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