If a student picks randomly then the expected value of his or her score for a problem is 1.5.
Each question on a multiple-choice exam has four choices.
One of the choices is correct, worth four points.
Another choice is wrong but carries partial credit for one point.
The other two choices are wrong and worth a negative one point.
Each has a probability of getting selected is 0.25.
[tex]0.25*5+0.25*1+0.25*0+0.25*0[/tex]
[tex]1.25+0.25[/tex]
[tex]1.5[/tex]
What is the expected value?
The expected value denotes potential. The occurrence of a random event is the subject. Its fundamental notion is that something is probable to occur.
Actually, the anticipated value may be viewed as the mean of a random variable. This indicates that the anticipated value is the average of all the values acquired if a probability experiment were repeated again while keeping track of the outcomes. The anticipated value of a game of chance is what you should expect to occur over the long run of several trials.
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Hallie collects beanbag animals. She
started her collection eight weeks ago
with six animals. Each week since then,
she has been given two more animals.
How many beanbag animals does she
have now? Please help meeee
Answer:
can i see a ss of the question?
Step-by-step explanation:
Calc Limits. Question Attatched.
The first mistake on the finding on the continuity of the function happened on Step 3, hence option B is correct.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is, if these three conditions are respected:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
To verify the continuity on this problem, the limit was first found at x = 4. Following the standard procedure, replacing each instance of x by 4, an undetermined value of 0/0 is reached. Thus the correct procedure was undertaken, factoring each polynomial in the numerator and in the denominator, then simplifying the common terms and calculating the limit.
However, to calculate the numeric value of the function at x = 4, the simplification cannot be applied, each instance of 4 needs to be replaced.
Replacing each instance of x by 4, the denominator will be of 0, meaning that the function is not defined at x = 4, hence the first mistake was in Step 3 and option B is correct.
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a table costs five times as much as a chair a trader bought six more chairs than tables and spent $18594. if a chair costs$ 1033 how many chairs and tables did he buy?
An athlete completes a marathon(42.2 km) at a pace of 3 min per km what was her speed in km/hrs? if the world record for marathon is 2 hrs 3 mins 23 sec what pace must an athlete achieve in order to break the world record
Answer:800
Step-by-step explanation:
x + 4x = 1000
5x = 1000
x = 1000/5 = 200 dollars.
Tripping the radius of a cylinder! Someone help me please I'm so confused :(
Before change
Dimensions: r= 2 ; h=7
Lateral Surface area= 2πrh= 28π sqyd
Total Surface area= 2πr(h+r)=4π(9)= 36π sqyd
After change(trippling radius)
Dimensions: r= 6 (3*2); h=7
Lateral Surface area= 2πrh= 84π sqyd
Total Surface area= 2πr(h+r)=12π(13)= 156π sqyd
What is surface area of a cylinder?
The total area that is occupied by the cylinder's curved surface, flat base surfaces, and flat surface is known as the surface area of a cylinder. Two separate components, a curved surface area and two flat surface areas make up the cylinder's overall surface area as the area that is covered by the curved surface of the cylinder and the flat surface of its bases.To learn more about surface area of cylinder, refer:
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What is the cost of equity using the capital asset pricing model if the risk free rate is 4.5%, the beta is 1.75 and the equity risk premium is 4.25%?
Review Later
9.00%
8.75%
11.94%
12.13%
[tex]11.9375\%[/tex] is the cost of equity using the capital asset pricing model if the risk free rate is 4.5%, the beta is 1.75 and the equity risk premium is 4.25%.
In the given question we have to find the cost of equity using the capital asset pricing model if the risk free rate is 4.5%, the beta is 1.75 and the equity risk premium is 4.25%.
Firstly we learn about terms used in this question,
The return needed by either a business or an individual to justify an investment in equity is known as the cost of equity.
The relationship between systemic risk, or the general dangers of investing, and expected return for assets, particularly equities, is described by the Capital Asset Pricing Model.
Since we have to find the cost of equity using the capital asset pricing model. So the formula is
Cost of equity = Risk free rate + Beta * Equity Risk Premium
Risk free rate = 4.5%
Beta = 1.75
Equity Risk Premium = 4.25%
Now putting the value in the formula
Cost of equity [tex]=4.5\%+1.75\times4.25\%[/tex]
Simplifying
Cost of equity [tex]=4.5\%+7.4375\%[/tex]
Cost of equity [tex]=11.9375\%[/tex]
Hence, [tex]11.9375\%[/tex] is the cost of equity using the capital asset pricing model if the risk free rate is 4.5%, the beta is 1.75 and the equity risk premium is 4.25%.
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Please I need help with this
Select the correct answer. What is the solution to the equation? √3x+3-1=x A. -1 and 2 B. -2 and 1 C. 2 D. 1
Answer:
A
Step-by-step explanation:
[tex]\sqrt{3x+3}=x+1 \\ \\ 3x+3=x^2+2x+1 \\ \\ x^2-x-2=0 \\ \\ (x-2)(x+1)=0 \\ \\ x=-1, 2[/tex]
Upon substituting both of the values back into the original equation, we see they both work.
4-5g>39 what is the set for the inequality
Answer:
g
<
−
7
Step-by-step explanation:
A pyramid is shown.
The pyramid has a base length of 5 centimeters, an altitude of 8 centimeters, and a lateral edge length of 9 centimeters.
What is the volume of the pyramid?
1. A tool rental company charges $25 for the first hour of a tractor rental. Each additional hour costs $20 per hour. Which statement describes the relationship between total cost and hours?
A It is proportional; each ratio for related pairs is equivalent.
B It is proportional; each x-term is a multiple of the previous term.
C It is not proportional; each ratio y/x for related pairs is not equivalent.
D It is not proportional; each x-term is not a multiple of the previous term.
Answer:
C. It is not proportional. y/x ratios are not equivalent
Step-by-step explanation:
Given a rental charge of $25 for the first hour and $20 for each additional hour, you want to know if the charges are proportional to the time.
ProportionalityIn this situation, if the relationship were proportional, the charge per hour (constant of proportionality) would be the same for every hour. Here, the first hour costs more, so the hourly charge is not constant.
Here, we have, for x=hours, y=dollars, ...
(1, 25) ⇒ y/x = 25
(2, 45) ⇒ y/x = 22.5
(3, 65) ⇒ y/x ≈ 21.67
The y/x values are not constant (because the charge per hour is not constant). The relationship is not proportional.
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I will give brainliest, like and rating if u solve this right
If ƒ(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (ƒ (x)) =_
A) (5x² +15x + 25
B) 5x³+15x²+ 20x + 255
C) 5
D) 225
E) 1125
The stock market report says that 6 stocks went up for every 7 stocks that went down. If 721 stocks went down yesterday, how many went up? Set up and solve a proportion for the problem.
The number of stocks that went up yesterday given the stocks that went down yesterday is 618.
How many stocks went up yesterday?
Ratio is used compare two or values together. It shows the number of times that one value is contained in another value or values. According to the information provided in the question, the ratio of stocks that go up and the stock that goes down is 6 : 7.
The number of stocks that went up yesterday = (ratio of stocks that went up x number of stocks that went down yesterday) / ratio of stocks that went down yesterday
The number of stocks that went up yesterday =(6 x 721) / 7 = 618
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Your sister is planning her wedding reception. She can have round tables that sit 8 people and rectangular tables that sit 10 people. She plans on having 200 people at the reception altogether. Write an equation that represents the possible tables that may be used to seat 200 people at the wedding.
What are two possible combinations of table types that your sister can use at
her wedding reception? Show your calculations to prove that your amounts are
viable answers to the question.
The equation that represents the possible tables that may be used to seat 200 people at the wedding is 8x + 10y = 200.
The combination will be 10 round tables and 12 rectangular tables; 15 round tables and 8 rectangular tables.
How to illustrate the information?Based on the information, there can be round tables that sit 8 people and rectangular tables that sit 10 people and the total number will be 200.
Therefore, the equation that represents the possible tables is 8x + 10y = 200
where x = number of round table
y = number of rectangular tables
The possible combinations of table types that your sister can use at her wedding reception will be 10 round tables and 12 rectangular tables. This will be:
8x + 10y = 8(10) + 10(12) = 200
Another combination will be 15 round tables and 8 rectangular tables
8x + 10y = 8(15) + 10(8) = 200
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What is the distance between -112 and -80 on a number line?
Answer: 32
Step-by-step explanation:
You need to take -112 and subtract it by -80 to get 32
Hope this helped! :)
10. Physical Science Ski resorts require large amounts of water in order to make snow. Snowman Ski Area in Colorado plans to pump at least 1120 gallons of water per minute for at least 12 hours a day from Snowman Creek between mid-October and Late December. Environmentalists are concerned about the effects on the ecosystem. Find the minimum amount of water pumped in 30 days. Let y be the total number of gallons pumped x days after pumping begins.
Minimum number of gallons pumped after 30 days = 24,192,000 gallons
Explanations:The minimum amount of water pumped in 1 minute = 1120 gallons
The minimum number of hours used for pumping per day = 12 hours
Number of minutes in 1 hour = 60 minutes
Number of minutes in 12 hours = 12 x 60 = 720 minutes
The minimum amount of water pumped per day = 1120 x 720
The minimum amount of water pumped per day = 806400 gallons
Let the number of days used for pumping be x
Let the total number of gallons pumped x days after pumping begins = y
Since 806400 gallons is pumped per day:
y = 806400x
Minimum number of gallons pumped after 30 days, that is, x = 30
y = 806400 (30)
y = 24,192,000 gallons
Minimum number of gallons pumped after 30 days = 24,192,000 gallons
A 35 foot ladder is set against the side of a house so that it reaches up 21 feet. If Elijah
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 17 ft.) Round to the
nearest tenth
Answer:
14.2 feet
Step-by-step explanation:
Use the Pythagorean Theorem to solve both parts.
Part 1.
35 is the hypotenuse and 21 is a leg.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +21^{2} =35^2\\a^2 + 441 = 1225\\a^2 +441-441=1225-441\\a^2 =784\\\sqrt{a^2} =\sqrt{784} \\a = 28 feet[/tex]
28 feet represents how far the base of the ladder is from the house.
Part 2.
Now move the ladder 4 feet farther from the house. 28 + 4 = 32 ft.
Now you have a leg that is 32 feet and the hypotenuse is still 35 feet. Solve for the other leg.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +32^{2} =35^2\\a^2 + 1024 = 1225\\a^2 +1024-1024=1225-1024\\a^2 =201\\\sqrt{a^2} =\sqrt{201} \\a = 14.177 feet[/tex]
Round to the nearest tenth and you have 14.2 feet
Hello I need to find the answer on how to find (-8)(-7)(3)
Answer:
168
Step-by-step explanation:
Hello I need to find the answer on how to find (-8)(-7)(3):
This is asking to find: -8 × -7 × 3 = ?
Because a negative times a negative = positive we have:
56 × 3 = 168
A family of six consisting of a mother, father, and four children line up (shoulder-to-shoulder) for a family portrait in a random order. Find the probability mass function of the random variable X, the number of children located between the father and mother in the photograph.
The probability mass function for this is given by the table that is attached below.
Probability is defined as the proper fraction which signifies the likelihood of an event to occur.
Total number of possible arrangements of 6 people are 6! = 720
Here X can take value 0, 1, 2, 3, or4.
For the probability function : When X= 0 , it means there is no child between mother and father. Taking mother and father as one , number of possible arrangements of 5 people are 5!.
And mother and father can arranged themselves is 2! ways. So for X=0, possible ways are 5! *2 = 240.
Therefore the require probability at X=0 is given by:
P(X=0) = 240 /720 = 0.3333
For the probability function : When X = 1 , then there is one child between mother and father. Number of ways of selecting one child is C(4,1) = 4.
Mother and father can be arrange themselves in 2 ways so possible number of arrangements are 4 * 2 * 4! = 192
Therefore the require probability at X=1 is given by:
P(X=1) = 192 /720 = 0.2667
For the probability function :When X=2 , then there are two children between mother and father. Number of ways of selecting two children is C(4,2) = 6.
Mother and father can arrange themselves in 2 ways, children between mother and father can arranged themselves in 2 ways so possible number of arrangements are 6 * 2 * 2* 3! = 144
Therefore the require probability at X=2 is given by:
P(X=2) = 144 /720 = 0.2
For the probability function : When X=3 , then there are three children between mother and father. Number of ways of selecting three children is C(4,3) = 4.
Mother and father can arrange themselves in 2 ways, children between mother and father can arranged themselves in 3! ways so possible number of arrangements are 4 * 2 * 3!* 2! = 96
Therefore the require probability at X=3 is given by:
P(X=3) = 96 /720 = 0.1333
For the probability function: When X=4 , then there are 4 children between mother and father. Number of ways of selecting 4 children is C(4,4) = 1.
Mother and father can arranged themselves in 2 ways, children between mother and father can arranged themselves in 4! ways so possible number of arrangements are 1 * 2 * 4! = 48
Therefore the require probability at X=0 is given by:
P(X=4) = 48 /720 = 0.0667
Hence the probability mass function can be represented by a table below.
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Gwen spent $12.50 to purchase 5 bracelets. Each 4.
bracelet costs the same amount. What is the unit rate
for each bracelet?
Answer:
simply divide 12.50 by 5. Therefore each bracelet costs $2.05 : 2$ and 5 cents.
Step-by-step explanation:
The cost of each bracelet will be $2.5.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The cost of 5 bracelets = $12.50
Now,
Since, The cost of 5 bracelets = $12.50
So, The cost of 1 bracelets = $12.50 ÷ 5
= $2.5
Thus, The cost of each bracelet will be $2.5.
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a. 5x + 3x b. 9s - 3s + 4s
Answer:
Step-by-step explanation:
A) 5x+3x
5x+3x
= 8x
B) 9s-3s+4s
9s-3s+4s
6s+4s
=10s
Find a polynomial f(x) of degree 4 that has the following zeros.
1, -4, 0, 6
Leave your answer in factored form.
ƒ(x) = 0
X
A polynomial of degree 4 in factored form with zeros 1, -4, 0, and 6 is
f(x) = x(x - 1)(x + 4)(x - 6).
What are polynomials?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.Any polynomial must have variable exponents that are non-negative integers. The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial.Given:
x₁ = 1
x₂ = -4
x₃ = 0
x₄ = 6
Utilize the fact that x - b is a factor of the polynomial if b is a root.
Simply take each zero, modify its sign, and add an x in front of it to obtain the four factors.
The polynomial is,
f(x) = (x - x₁)(x - x₂)(x - x₃)(x - x₄)
f(x) = (x - 1)(x - (-4))(x - 0)(x - 6)
= (x - 1)(x + 4(x)(x - 6)
Therefore,a 4 degree polynomial in factored form with zeros 1, -4, 0,and 6 is x(x - 1)(x + 4)(x - 6).
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A triangle is placed in a semicircle with a radius of 4 mm, as shown below. Find the area of the shaded region. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct unit in your answer.
The area of the shaded portion of the diagram is 9.12 mm²
How to find area of a figure?The triangle is inside the semi circle.
The shaded region of the semi circle is outside the triangle.
Therefore,
area of the shaded region = area of the semi circle - area of triangle
Therefore,
area of the semi circle = 1 / 2 πr²
where
r = radiusHence,
r = 4 mm
area of the semi circle = 1 / 2 × 3.14 × 4²
area of the semi circle = 50.24 / 2
area of the semi circle = 25.12 mm²
area of the triangle = 1 / 2 bh
where
b = base h = heightHence,
b = 8mm
h = 4mm
area of the triangle = 1 / 2 × 8 × 4
area of the triangle = 32 / 2
area of the triangle = 16 mm²
Therefore,
area of the shaded region = 25.12 - 16
area of the shaded region = 9.12 mm²
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URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
This diagram is used to prove the Pythagorean theorem, and to show that the purple square- the green square= the red square
A. True
B. False
Answer:
true
Step-by-step explanation:
the answer of both the smaller squares added is the same as the andwer of the bigger square
Answer the following questions:
pahelp pls
1. Solution of the rational equation [tex]\frac{x}{3} -6=\frac{9}{3}[/tex] is x = 27
How is the equation solved?
[tex]\frac{x}{3} -6=\frac{9}{3}\\\\\frac{x- 18}{3} =\frac{9}{3}\\\\x= 18+9\\\\x= 27[/tex]
2.The two numbers = 2, 6
How to find the two numbers?
Let the two whole numbers = x, y
Given:
x+ y =8 --- (1)
1/x+1/y = 2/3 ---(2)
Considering (2),
[tex]\frac{1}{x} +\frac{1}{y} =\frac{2}{3}\\\\\frac{x+ y}{x y} =\frac{2}{3}\\\\\text{Applying } (1),\\\\\frac{8}{x(8-x)} =\frac{2}{3}\\\\(8x-x^{2} )2 =24\\\\(8x-x^{2} ) =12\\\\x^{2} -8x+12 =0\\\\(x-6) (x-2)= 0\\\\x= 2, 6[/tex]
Substituting x in (1)
We have,
When x = 2 ; y= 6
When x = 6 ; y = 2
So, the two numbers = 2, 6
3. The two numbers = 3, 9
How to find the two numbers?
Let the two whole numbers = x, y
Given:
x- y =6 --- (1)
1/y -1/x = 2/9 ---(2)
Considering (2),
[tex]\frac{x-y}{xy} =\frac{2}{9} \\\\\text{Applying } (1)\\\\\frac{6}{x y} =\frac{2}{9} \\\\x y = 27\\\\(6+y)y = 27\\\\y^{2} +6y-27=0\\\\(y+9) (y-3) = 0\\\\y= 3, -9[/tex]
Since x and y are whole numbers we will have y = 3
When y = 3 ; x=9 (substituting in (1))
So, the two numbers = 9,3
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100 points
Identity the triangle congruence postulate (SSS,SAS,ASA,AAS, or HL) that proves the triangles are congruent
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Which postulate establishes the congruence of triangles SSS AAS SAS ASA?
According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.
Congruence exists between one comparable pair of sides.
Detailed explanation:
If two triangles have three matching angles that are congruent,
The following postulates will be required to demonstrate the congruence of the triangles:
1) AAS ( Angle-Angle-Side ) ( Angle-Angle-Side )
2) ASA ( Angle - Side - Angle) ( Angle - Side - Angle)
Since we require at least one pair of congruent sides in both postulates.
Given that two triangles have three congruent corresponding angles, the extra information that will be utilized to prove their congruence is that "they have one pair of congruent corresponding angles."
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(9n-4/7z)².
Use the binomial squares pattern to multiply
The multiplication of [tex](9n- \frac{4}{7} z)^{2}[/tex] [tex]=81n^{2} -\frac{72}{7} nz +\frac{16}{49} z^{2}[/tex]
How is the expression [tex](9n- \frac{4}{7} z)^{2}[/tex] solved?
[tex](9n- \frac{4}{7} z)^{2} \\\\=(9n- \frac{4}{7} z) (9n- \frac{4}{7} z)\\\\=81n^{2} -\frac{36}{7} nz -\frac{36}{7} nz +\frac{16}{49} z^{2} \\\\=81n^{2} -\frac{72}{7} nz +\frac{16}{49} z^{2}[/tex]
What is the binomial squares pattern?
The square of a binomial is made up of the first term's square, twice the product of the two terms and the last term's square.This approach is crucial for factoring since it makes factoring polynomials more simpler than with other approaches like the FOIL method, for example.For example : [tex](x+ y)^{2} =x^{2} +2xy+y^{2}[/tex]To learn more about binomial squares pattern , refer:
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27
X 10
I need to estimate but I don’t understand
Answer: 270
Step-by-step explanation: A tip for multiplying a number with any power of 10 is to just "add" a 0 to the end of the number depending on how many 0's there are in the power of 10.
For example, there is one 0 in 10. So I would just add a 0 to the end of 27 to get 270. If I were to multiply 27 by 100, there are two 0's in 100 so it would be 2700. 27 x 1000 would be 27000.
Hope this helped
_______1.afraction whose denominator is 3 more than it's numerator x
_______A.if x=6, what is the value of the fraction?
_______B. what is the fraction if the denominator is 8?
_______2 the length of a rectangular garden with an area of 32 square meters and has width w meters
_______A. what is the length of the garden if the width 4 meters?
_______B. find the width of the garden if the length is 16 meters?
________3. the rate of a car traveled 240 kilometers in t hours?
_________A. Find the rate of the car if t= 2.5 hour?
_________B. what is the rate of the car if the time is doubled?
1. A fraction whose denominator is 3 more than it's numerator x: x/(x+3)
A. If x =6, then the value of the fraction is 2/3.
B. If the denominator is 8, then the fraction is 5/8.
2. The length of a rectangular garden with an area of 32 square meters and has width w meters: 32/w.
A. The length of the garden if the width 4 meters = 8 meters
B. The width of the garden if the length is 16 meters = 2 meters
3. The rate of a car traveled 240 kilometers in t hours = 240/t km per hour
A. The rate of the car if t= 2.5 hour is 96 km/hour.
B. The rate of the car if the time is doubled is 120/t.
1. Let 'x' be the numerator. Then the denominator is 3 more than its numerator. So the denominator = x +3.
Hence the fraction whose denominator is 3 more than it's numerator x: x/(x+3).
A. If x = 6, then x+3 = 6+3 = 9.
So x/x+3 = 6/9 = 2/3
So the fraction is 2/3
B. Denominator = 8
⇒ x+3 = 8
⇒ x = 8-3 = 5
So the fraction is x/x+3 = 5/8.
2. Area of the rectangular garden = 32 square meters
⇒ length x width = 32
⇒ length x w = 32
⇒ length = 32/w
So the length of a rectangular garden with an area of 32 square meters and has width w meters is 32/w.
A. Width, w = 4 meters
Then, length = 32/w = 32/4 = 8 meters
B. Length = 16 meters
⇒ 32/w = 16
⇒ w = 32/16
⇒ width, w = 2 meters
3. Distance travelled by the car = 240 kilometers
Let 't' be the time taken in hours.
Then, Rate of the car = Distance / Time taken
⇒ Rate of the car in t hours = 240/t kilometers per hour
A. If t = 2.5 hour, then,
Rate of the car = 240/2.5 = 96 kilometers/ hour
B. If the time is doubled, then time = 2t
Rate of the car = 240/2t = 120/t
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Make h the subject of the formula A = 2nrh + 2nr.2
Given:
The formula is
[tex]A=2nrh+2nr^2[/tex]Required:
Make h the subject of the formula.
Explanation:
We will put formula in terms of h as:
[tex]\begin{gathered} A=2nrh+2nr^2 \\ A-2nr^2=2nrh \\ h=\frac{A-2nr^2}{2nr} \end{gathered}[/tex]Answer:
Hence, above is the answer.
a. what is the angle of shaded area in degrees b. what percent of circle is shaded.c. what fraction of the circle is shaded
a) The total central angle of a circle is 360 degrees.
Therefore, the angle of the shaded area is,
[tex]360^{\circ}-120^{\circ}=240^{\circ}[/tex]Therefore, the angle of the shaded area is 240 degrees.
b) The percent of the circle shaded is,
[tex]\begin{gathered} \frac{Number}{\text{Total}}\times100=\frac{240}{360}\times100=66.67 \\ \end{gathered}[/tex]Therefore, the percent of the circle shaded is 66.67%.
c) The fraction of the circle shaded is,
[tex]\frac{240}{360}=\frac{2}{3}[/tex]Therefore, the fraction of the circle shaded is 2/3.