Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;
$78,000
What is an economic profit?An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.
The annual salary of Winston as an accountant = $60,000
The amount Winston's financial asset generates = $4,000 per year
The cost of running the business = $8,000
The amount Winston earns as revenue = $150,000
Therefore;
Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000
The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business
The cost of running the business = $8,000
The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost
The total cost = $60,000 + $4,000 + $8,000 = $72,000
The economic profit = The total revenue - The total cost
Therefore;
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find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
Use a number line to find equivalent fractions to 2/3
The equivalent fraction for 2/3 is 8/12.
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
129. (1+x)y' = (x + 2)(y − 1)
Calculus vol 2 need help solving this!!!!
By answering the question using the information provided, we can conclude that in order to arrive at the general solution, we must take into account the scenario in which [tex]y-1\neq 0 , y \neq 1[/tex], by constructing equations.
What do you mean by equations?Two equations are said to be equivalent when their bases and solutions line up. To create an equivalent equation, the same quantity, symbol, or expression must be added to or removed from both of the equation's two sides.
We can also create an analogous equation by multiplying or dividing both sides of an equation by a nonzero integer.
Solving differntial calculus
[tex](1+x)y'=( x+2) (y-1)[/tex]
We will first employ varying separation. The variables y and x will be placed on the opposite sides of the equation, and both sides will be integrated.
[tex](1+x)y'/(y-1) = (x+2)dx[/tex]
We will integrate both sides using the substitution[tex]u= y-1,\frac{du}{dy} =y'[/tex]
∫[tex](x+2)dx[/tex] =∫[tex](1+x)\frac{du}{u}[/tex]
㏑l[tex]u[/tex]l +[tex]x[/tex]㏑l[tex]u[/tex]l= [tex]\frac{1}{2} x^{2}+2x+c[/tex]
Substituting [tex]u= y-1[/tex]
㏑l[tex]y-1[/tex]l+ [tex]x[/tex]㏑l[tex]y-1[/tex]l= [tex]\frac{1}{2x^{2} } +2x+c[/tex]
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The complete question is: Find the general solution to the differential equation (1+x)y' = (x + 2)(y − 1).
21 students in the class like chocolate ice cream. this is 75% of the class. how many students are in the class?
Answer:
28 people
Step-by-step explanation:
21 / 3 = 25
7 = 25%
25 x 4 = 100%
so
7 x 4 = 28
28 people are in the class
F(x)=x 2 what is f(2)
we input the value 2 into the function, it will output the value 4.
What is Function?Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively. Initially, functions represented the idealized relationship between two variable quantities.
The function F(x) = x^2 represents a quadratic function, where the input value (x) is squared to produce the output value (F(x)).
To find the value of F(2), we simply need to substitute 2 in place of x in the equation:
F(2) = (2)^2 = 4
This means that when we input the value 2 into the function, it will output the value 4.
In other words, F(2) represents the value of the quadratic function at the point where x is equal to 2.
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Complete question:
If F(x)=x^2 then what is f(2).
3. Factor puzzle. *Be sure to show work!
SHARED FACTORS
Each side of the square shares a factor with each of its neighboring sides.
Determine the missing values that make this statement true.
The missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
What is the quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus," which means "square."
First, let Xa, Xb, Xc, Xd = each factor
Xd = each factor which shows In the graph
Then, we can know that
Xa, Xb are the roots of x² + ___x + 14
Xb, Xd are the roots of x²= 3x - __
Xc, Xd are the roots of x² - __x - 15
Xa, Xc are the roots of x² + 10x + __
Xa * Xb = 14 Xd = 15/10 +Xa
Xb+ Xd = 3 14/Xa + 15/10 +Xa = 3
Xc* Xd = - 15 140 + 29Xa/Xa(10+Xa)
Xa + Xc = -10x 140 + 29Xa = 30Xₐ + 3Xₐ²
Xb = 14/Xa 3Xₐ² + Xₐ² - 140 = 0
14/Xa + Xd = 3 Xa1 = -7 Xa2 = 20/3
Xd = -15/-3 Xb1 = -2 Xb2 = 21/10
Xc = -10 -X1 Xc1 = -3 Xc2 = -30/3
Xc1 = -3 Xc2 = -30/3
Xd1 = 5 Xd2=9/10
There are two kinds of answers.
1) x² + 9x + 1x Xa1 + Xb1 = -9
x² - 3x + 10 Xb1 * Xd1 = -10
x² - 2x - 15 Xc1 + Xd1 = 2
x² + 10x + 21 Xa1 * Xc1 = 21
2)
x² - (263/30)x + 14 Xa2 * Xb2 = 263/30
x² - 3x - (-189/100) Xb2 * Xd2 = 189/100
x² - (413/30)x - 15 Xc2 + Xd2 = 413/30
x² + 10x + (1000/9) Xa2 * Xc2 = 1000/9
Hence, the missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
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what led to the development of the aviation industry
a. the development of texas’ wwII aircraft training facilities
b. the placement of the johnson space center
c. the petrochemicals industry
d. texas’ location and climate
Texas' location and climate led to the development of the aviation industry.
What is the significance of Texas in the development of the aviation industry?
The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.
Reason what led to the development of the aviation industry :
Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.
Therefore, option (d) is correct.
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The ratio of James ' age to Andy's age is 2 : 7. In 8 years' time, the ratio will become
2 : 5, Find James' present age.
Answer: James' age now is 12 years old.
Easy simultaneous equation question - help me i cba :)
Answer:
Let x be the cost of 1 kg of mushrooms and y be the cost of 1 kg of turnips.
From the given information, we can form two equations:
2x + 2.5y = 8.55 (Equation 1)
3x + 4y = 13.10 (Equation 2)
To solve for x and y, we can use the method of elimination. Multiplying Equation 1 by 4 and Equation 2 by -2, we get:
8x + 10y = 34.20 (Equation 3)
-6x - 8y = -26.20 (Equation 4)
Adding Equation 3 and Equation 4, we get:
2x + 2y = 8
Simplifying this equation, we get:
x + y = 4 (Equation 5)
Now we have two equations: Equation 2 and Equation 5. We can solve for x and y using substitution or elimination. Here, we will use substitution.
From Equation 5, we can express x in terms of y as:
x = 4 - y
Substituting this expression for x into Equation 2, we get:
3(4 - y) + 4y = 13.10
Simplifying and solving for y, we get:
y = £1.50
Substituting this value for y into Equation 5, we can solve for x:
x + £1.50 = 4
x = £2.50
Therefore, the cost of 1 kg of mushrooms is £2.50 and the cost of 1 kg of turnips is £1.50.
a) The cost of 1 kg of turnips is £1.50.
b) The cost of 1 kg of mushrooms is £2.50.
9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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Please help answer this!!!
Given m∥n, find the value of x.
(2x+5) (8x+5)
Bestimmen Sie die ganzrationale Funktion vom Grad drei, deren Graph punktsymmetrisch zum Ursprung ist, einen Tiefpunkt an der Stelle x - 1 hat und A (2|2) enthält
Answer: Da der Graph punktsymmetrisch zum Ursprung ist, können wir annehmen, dass er die Form f(x) = ax^3 hat.
Step-by-step explanation:
Da der Graph einen Tiefpunkt an der Stelle x = 1 hat, gilt f'(1) = 0 und f''(1) < 0.
Also gilt:
f(x) = ax^3 + bx^2 + cx + d
f'(x) = 3ax^2 + 2bx + c
f''(x) = 6ax + 2b
Da f'(1) = 0, haben wir:
3a + 2b + c = 0
Da f''(1) < 0, haben wir:
6a + 2b < 0
3a + b < 0
b < -3a
Da der Graph punktsymmetrisch zum Ursprung ist, haben wir:
f(-x) = -f(x)
Also haben wir:
-a x^3 + bx^2 - cx + d = -ax^3 - bx^2 - cx - d
oder
2bx^2 + 2d = 0
b = -d
Da der Graph durch A(2|2) geht, haben wir:
8a + 4b + 2c + d = 2
Und da der Graph einen Tiefpunkt bei x = 1 hat, haben wir:
f(1) = a + b + c + d = 0
Jetzt können wir die Gleichungen lösen, um die Koeffizienten der Funktion zu finden. Zunächst setzen wir b = -d ein und erhalten:
3a + 2b + c = 0
6a - 2d < 0
b < -3a
a + b + c + d = 0
8a - 2b + 2c - d = 2
Lösen dieser Gleichungssysteme liefert a = -1
1. Your stock broker charges a 7% fee every time stocks are bought and sold. How much
profit would you earn from the sale of 250 shares that are worth $4.50 each.
To determine the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker, we need to calculate the total revenue earned and the total cost incurred.
Total revenue earned from selling 250 shares at $4.50 per share:
Revenue = 250 x $4.50 = $1,125
Total cost incurred for buying and selling the shares, including the 7% fee charged by the broker:
Cost = 2 x 250 x $4.50 x 0.07 = $157.50
Here, we are multiplying the number of shares (250) by the price per share ($4.50) to get the total value of the shares. Then we multiply this by 2, since we need to account for both the buying and selling transactions, and then multiply by the broker fee rate of 7% (0.07) to get the total cost incurred.
Therefore, the profit earned from the sale of 250 shares is:
Profit = Revenue - Cost
Profit = $1,125 - $157.50
Profit = $967.50
Hence, the profit earned from selling 250 shares worth $4.50 each with a 7% fee charged by the stock broker is $967.50.
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ms walker has 15 kilograms of clay she wants to give 3 students an equal amount of clay what is the mass of the clay that each student will get
Answer: 5kg
Step-by-step explanation:
If Ms. Walker has 15 kilograms of clay that she wants to distribute evenly among 3 students, all you need to do is divide 15 by 3. Doing so, we get:
15 kg / 3 = 5 kg
Therefore, each student will receive 5 kilograms of clay.
The mass of clay that each student will get is 5kg.
Here, the given questions ask for a solution that deals with the concept of the basic principle of division. hence implementing the principle we can see that,
The given total amount of clay by Ms. walker is 15 kilograms(kg).
Furthermore, this total amount of clay needs to be divided equally between the 3 students.
Then, let the mass of clay given to each student equally be denoted by M in the equation to find out the solution can be written as
M = Total amount of clay ÷ Total number of students
Then,
M = 15 ÷ 3
M = 5 kg
Therefore, The mass of clay that each student will get is 5kg.
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How much water can a cylindrical bottle hold that is 5 cm in diameter and 10 cm tall?
a. 196.35 cm^3
b. 785.4 cm^3
c. 735 cm^3
d. 215 cm ^3
In response to the stated question, we may state that As a result, the cylindrical container can carry around 196.35 cm3 of water. As a result, (a) 196.35 cm cubic is the right answer.
what is cylinder?A cylinder seems to be a three-dimensional geometric shape made up of two parallel congruent circular bottoms and a curving surface linking the two bases. The bases of a cylinder are always perpendicular from its axis, which is an artificial straight line passing through the centre both of bases. The volume of a cylinder is equal to the product among its base area and height. A cylinder's volume is computed as V = r2h, within which "V" represents the volume, "r" represent the circle of the base, and "h" represents the height of the cylinder.
The volume of a cylinder is determined by the formula V = r2h, where r is the radius of the base, h is the cylinder's height, and is a mathematical constant close to 3.14.
In this situation, the radius is 2.5 cm since the base is 5 cm in diameter. The cylinder stands 10 cm tall. As a result, the volume of the cylinder is:
[tex]V = \pi(2.5 cm)^2(10 cm) (10 cm)\\V = 196.35 cm^3[/tex]
As a result, the cylindrical container can carry around 196.35 cm3 of water. As a result, (a) 196.35 cm cubic is the right answer.
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1111111111111111111111111111 friends?
Answer:
[tex]k = - 3[/tex]
Step-by-step explanation:
[tex]y = kx[/tex]
[tex]k \times ( - 1) = 3[/tex]
[tex] - k = 3[/tex]
[tex]k = - 3[/tex]
Answer:
[tex]k = -3[/tex]
Step-by-step explanation:
Step 1: Substitute
To solve this problem you are going to need to substitute the values of y and x into the problem y=kx. Which would give you the problem of 3=-1k or 3 = -k to make things easier.
Step 2: Using properties of equality
In order to isolate the value of k you would need to divide both sides by -1 because division cancels out multiplication. You would get [tex]\frac{3}{-1} = \frac{-k}{-1}[/tex] or [tex]-3 = k[/tex]
Step 3: Check
In order to check this problem you would need to insert the values back into the original equation and solve. So that would be 3= -1*-3 which does equal 3. So the answer is correct
2-3(x+4)=8
-2/3
-6
2/3
6
Answer:
x = -6
Step-by-step explanation:
2-3(x+4) = 8
2 - 3x - 12 = 8
-3x - 10 = 8
-3x = 18
x = -6
Answer:
x = -6
Step-by-step explanation:
2 - 3 (x + 4) = 8
2 - 3x - 12 = 8
- 10 - 3x = 8
- 3x = 8 + 10
- 3x = 18
x = -18/3
x = -6
___________
hope this helps!
Reflections; rotations and translations are transformations that change the what?
Reflections, rotations, and translations are all transformations that change the position and/or orientation of a geometric figure.
What is reflection?In mathematics, reflection is a transformation that flips a figure over a line called the line of reflection. This line acts like a mirror, reflecting the original figure onto the opposite side of the line.
Reflections, rotations, and translations are all transformations that change the position and/or orientation of a geometric figure.
Reflections (also known as flips) change the orientation of a figure by flipping it across a line of reflection, which acts like a mirror.
Rotations change the orientation of a figure by rotating it around a fixed point. The figure stays the same shape and size, but its position and orientation in space changes.
Translations (also known as slides) change the position of a figure by sliding it along a straight line without changing its orientation or shape.
All of these transformations are important in geometry and other fields, such as physics and computer graphics, and can be used to describe the motion and properties of geometric objects.
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Find the simplified form of the expression. Give your answer in scientific notation.
(8 × 10^4)(9 × 10^–8)
Answer:
7.2×10^-3
Step-by-step explanation:
8 × 10^4×9 × 10^–8
=8×9×10^(4-8)
=72×10^-4
=7.2×10^-3
Look at the picture, I'm really confused
Answer:
Option (C)
-0.46 brother
Answer:
Option (C)
-0.46
Step-by-step explanation:
If -26+z=15,what is the value is z?
Answer: 41
Step-by-step explanation:
-26+z =1 5
z= 15+26
z= 41
Answer:
z = 41
Step-by-step explanation:
-26 + z = 15. | + 26
-26 + z + 26 = 15 + 26
z = 41
How many solutions and what is the solution, as an ordered pair?
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
what is solution ?A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.
given
We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
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100 points and brainliest
Find all the missing angles:
Answer:
<AOB = 112
<AOD = 68
<DOC = 112
Hoped this helped
: )
What is the GCF in simplify form
Answer: 9x^2y
the gcf of -63 , 9 and 90 is 9
And the gcf of the variables is x^2 and y
So, 9x^2y
I need help ASAP.I m really confused with it
Write the following absolute value function as a piecewise function.
f(x) = |- x² - 8x - 7|
The absolute value function as a piecewise function f(x) = |- x² - 8x - 7| is
f(x) = { - (x² + 8x + 7) , x ≤ -7 or x ≥ -1
{ x² + 8x + 7 , -7 < x < -1
What is meant by absolute value?
Absolute value is a mathematical function that gives the distance of a number from zero on a number line. It is denoted by two vertical bars enclosing the number and always returns a non-negative value.
What is meant by piecewise function?
A piecewise function is a function that is defined by different expressions or rules on different parts or intervals of its domain. The domain is divided into pieces, and each piece has its own expression or rule.
According to the given information
When x² + 8x + 7 ≥ 0, we have:
f(x) = |-(x² + 8x + 7)| = -(x² + 8x + 7)
When x² + 8x + 7 < 0, we have:
f(x) = |x² + 8x + 7| = x² + 8x + 7
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Suppose a man is 25 years old and would like to retire at age 60. Furthermore, he would like to have a retirement fund from which he can draw an income of $50,000 per yearforever! How can he do it? Assume a constant APR of 8%.
Answer:
Step-by-step explanation:
0.08*X >= 100000, i.e. X >= 100000%2F0.08 = 1,250,000 dollars.
Then each year he will draw 100000, but the bank will return equal or even greater amount than 0.08*1250000 = 100000,
so his balance will only increase from year to year.
It is a rough estimation.
If we want to consider more realistic case, when he withdraws 100000 at the first day of the year and the bank compounds 8% at the end of the year,
then the unknown starting amount X must satisfy inequality
0.08*(X-100000) >= 100000, which gives
0.08X - 0.08*100000 >= 100000,
0.08X > (1+0.08)*100000
x >= %28%281%2B0.08%29%2A100000%29%2F0.08 = 1350000.
Answer. Having $1,350,000 or more initially on the account provides the sough condition.
Answer:
$26421.76
Step-by-step explanation:
We have to calculate final value i.e. balance to earn $50,000 annually from interest.
[tex]= \dfrac{50,000}{0.08} = \$625,000[/tex]
Now, N = n × y = 12 × 25 = 300
I = 8% = APR = 0.08
PV = 0 = PMT = 0
FV = 625,000 = A
[tex]\text{A}=\dfrac{\text{PMT}\times[(1+\frac{\text{apr}}{\text{n}})^{\text{ny}}-1 }{\frac{\text{apr}}{\text{n}} }[/tex]
[tex]\text{PMT}=\dfrac{\text{A}\times(\frac{\text{APR}}{\text{n}}) }{[(1+\frac{\text{APR}}{\text{n}})^{\text{ny}}-1 }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(\frac{0.08}{12}) }{[(1+\frac{0.08}{12})^{12\times25}-1] }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(0.006667) }{[(1+\frac{0.08}{12})^{12\times25}-1] }[/tex]
[tex]\text{PMT}=\dfrac{625,000\times(0.006667) }{[(1+0.006667)^{300}-1] }[/tex]
[tex]\text{PMT}=\dfrac{\frac{33335}{8} }{[1.006667^{300}-1]}[/tex]
[tex]\text{PMT}=\dfrac{\frac{33335}{8} }{6.34090515}[/tex]
Monthly payment (PMT) = $26421.7591469 ≈ $26421.76
$26421.76 is required monthly payment in order to $50,000 interest.
Determine the intercepts of the line.
�
xx-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
�
yy-intercept:
(
(left parenthesis
,
,comma
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)right parenthesis
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, negative ten and three, zero.
The intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
What are the intercepts?
To find the x-intercept, we need to find the point where the line intersects the x-axis. This occurs when the y-coordinate of the point is zero. From the given information, we know that the line passes through the point (3, 0), so this point must be the x-intercept.
Therefore, the x-intercept is (3, 0).
To find the y-intercept, we need to find the point where the line intersects the y-axis. This occurs when the x-coordinate of the point is zero. We can find the equation of the line using the two given points (0, y) and (3, 0):
Slope of the line = (y2 - y1) / (x2 - x1)
= (0 - y) / (3 - 0)
= -y / 3
Using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can write:
y - 0 = (-y/3)(x - 3)
Simplifying this equation, we get:
y = (-y/3)x + 1
Multiplying both sides by 3, we get:
3y = -yx + 3
Adding yx to both sides, we get:
yx + 3y = 3
This is the equation of the line in standard form. To find the y-intercept, we set x = 0:
0 + 3y = 3
Solving for y, we get:
y = 1
Therefore, the y-intercept is (0, 1).
Hence, the intercepts of the line are:
x-intercept: (3, 0)
y-intercept: (0, 1)
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I’m so confused please help me
We can claim that after answering the above question, the As a result, angles the regular polygon has ten sides.
what are angles?An angle is a shape in Euclidean geometry that is made up of two rays, known as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays may combine to generate an angle in the plane in which they are located. An angle is formed when two planes collide. They are known as dihedral angles. In plane geometry, an angle is a potential configuration of two rays or lines that share a termination. The English term "angle" derives from the Latin word "angulus," which means "horn." The vertex is the point at where the two rays, also known as the angle's sides, converge.
The interior angle of a regular polygon with n sides is calculated as follows:
(n-2) * 180° / n = interior angle
The internal angle of the polygon is presented to us as 144°. When we plug this into the formula, we get:
144° = (n - 2) * 180° / n
144° * n = (n - 2) * 180°
144° * n = 180° * n - 360°
144° * n + 360° = 180° * n
360° = 36° * n
n = 10
As a result, the regular polygon has ten sides.
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Fionna, Anuar and Rizza had some cards. Fionna and Anuar had a total of 349 cards. Fionna had 145 cards. Anuar had 3 times as many cards as Rizza. How many cards did Fionna and Rizza have altogether? How do we draw model? I know question but how do we draw the model I need this asap
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
what is unitary method ?A mathematical concept known as the unitary approach entails calculating the value of a single unit in order to calculate the value of a given quantity. Finding the value of one unit and utilising that value to determine the value of a given quantity is an approach for solving problems. For instance, you can use the unitary technique to determine the price of 10 apples if you know that 5 apples cost $10. Now, divide $10 by 5, which equals $2, to determine the price of one apple. The cost of 10 apples is then determined by multiplying the price of one apple ($2) by 10, giving you a final cost of $20.
given
145 total cards with Fionna
349 total cards with Fionna and Aura
Card count with Anuar: 349 - 145
= 204
Rizza's number of cards equals 1/3 of 204.
= 204 / 3
= 68
Total number of cards: 68, 204, and 145
= 417
Fionna and Anuar each had 349 cards, bringing the total to 417. Fionna alone had 145 cards.
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