The formula for a sector's area is: 1. A = (sector angle / 360 ) * (pi *r2)
2. A = (sector angle / (2*pi)) * (pi * r2) 3. A = (fraction of the circle) * (pi * r2)
The ratio used to find the area of the sector is that of how to know what fraction of the circle is the sector.
Ratio = (θ/360°)
θ is the angle subtended at the center of the circle by the arc, measured in degrees.
For this question,
θ = 60°
Ratio = (θ/360°) = (60°/360°) = (1/6)
Area of a circle is given as
Area of a circle = πr²
where
π = pi
r = radius of the circle = 8
Area of the circle = πr²
Area of the circle = π (8²) = 64π square units
Area of the sector is given as
Area of the sector = (Ratio) × (Area of the circle)
Ratio = (1/6)
Area of the circle = 64π square units
Area of the sector = (Ratio) × (Area of the circle)
Area of the sector = (1/6) × (64π) = (64π/6) = (32π/3) square units
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How to simplify Question B?
The expressions when simplified become :
a. x ³ × y ²
b. 6x ² × y ³
How to simplify the expressions ?To simplify the first expression, take x to the power of the number of times it appears and do the same for y. This means that x × x × x × y × y would become:
= x ³ × y ²
In the second expression, first collect like terms so that 2 × x × x × 3 × y × y × y becomes:
= 2 × 3 × x × x × y × y × y
= 6 x ² × y ³
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What do you mean by residual value * Mcq?
The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value.
What is Mcq, or salvage value?
When an item reaches the end of its useful life, its salvage value—or potential market value—is estimated. It can also be described as the asset's book value after depreciation has been taken into account.
What does the depreciation formula's residual value mean?
The asset's final worth is its residual value. To obtain the entire amount, it is therefore deducted from the starting value. Consequently, we are given the depreciation figure. This sum is divided by the usable years of the asset using the straight-line depreciation technique.
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In triangle below, angle p is a right angle. Suppose that m angle q =(3x+25) and m angle r = (4x+30).
(A) write an equation to find x. Make sure you use an “=“ sign in your answer.
(B) find the degree measure of each angle.
(A) To find x, we can use the fact that the measures of the angles in a triangle must add up to 180 degrees. So we can write an equation using that information and the measures of angles q and r:
m angle q + m angle r + 90 = 180
(3x+25) + (4x+30) + 90 = 180
so:
7x+45 = 90
7x = 45
x = 45/7 = 5
(B) To find the degree measure of each angle, we can substitute x = 5 back into the expressions for angles q and r.
m angle q = (3x+25) = (3*5+25) = 40 degrees
m angle r = (4x+30) = (4*5+30) = 50 degrees
Since the angle p is a right angle, it has a degree measure of 90 degrees.
So the angle measures are: angle q = 40 degrees, angle r = 50 degrees, angle p = 90 degrees.
Write equations for the horizontal and vertical lines passing through the point (6, 5).
x=8 is the equation for a vertical line passing through this place and y=7 is the equation for a horizontal line traveling through this place.
what is equation ?It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation seems to be a statement that has nearly identical sides and an equality sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a mathematical expression is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.
given
The value of x, in this case 8 for a vertical line, is constant. For whatever value of y, this will hold true. In light of this,
x=8 is the equation for a vertical line passing through this place.
The value of y, in this case 7, will also never change for a horizontal line. For whatever value of x, this will hold true. In light of this,
y=7 is the equation for a horizontal line traveling through this place.
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What is a 3 2 image?
A 3:2 aspect ratio image is a rectangular image where the width is 3 units and the height is 2 units. It means that the width of the image is 1.5 times its height.
This aspect ratio is commonly used in photography, as it is the standard aspect ratio of 35mm film cameras, and also it's used in some digital cameras, DSLRs, and mirrorless cameras.
A 3:2 aspect ratio image can be thought of as a rectangle that has a width of 3 units and a height of 2 units. When you take a picture with a 3:2 aspect ratio, it will have a width that is 50% larger than its height. This allows for a larger view of the subject, and also it is more suitable for landscape images and portrait images.
It's worth noting that other aspect ratios are also used in photography such as 4:3, 16:9, and 1:1, it depends on the camera's sensor and the photographer's preference.
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Is √ 3x² 5y is a polynomial?
Answer: yes
Step-by-step explanation:
solve for c 2(c+1)=10
The algebraic equation have the value of c equal to 4.
What is algebraic equationAn algebraic equation is a mathematical statement that involves two equated algebraic expressions.
The unknown value c can be evaluated for the agebraic equation 2(c + 1) = 10 as follows:
open brackets
2c + 2 = 10
subtract 2 from both sides of the equation
2c + 2 - 2 = 10 - 2
2c = 8
divide through by the coefficient of c
2c/2 = 8/2
x = 4
Therefore, the value of c that makes the algebraic equation true is 4.
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Which set of numbers can represent the side lengths in inches of an acute triangle 4 5 7 5 7 8 6 7 10 7 9 12?
The correct set of numbers that can represent the sides of an acute triangle among the options given is 5, 7, 8.
To determine if a set of numbers can represent the sides of an acute triangle, we can use the rule that the sum of the squares of the two smallest sides should be greater than the square of the largest side. By applying this rule
it can be seen that set B (5, 7, 8) satisfies this condition and is therefore an acute triangle,
while the other sets do not satisfy this condition and therefore are not acute triangles. It's worth noting that there can be multiple sets of numbers that can represent the sides of an acute triangle.
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Answer: B
Explanation: 5, 7, 8
need help its due tonight its a test
graph each equation or inequality.
2y – 4x < 8
The solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.
What is the graph of a function?
The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.
The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.
To solve the inequality 2y – 4x < 8, we can start by isolating y by adding 4x to both sides:
2y < 4x + 8
then divide both sides by 2:
y < 2x + 4
This is the solution in slope-intercept form (y = mx + b), where the slope is m = 2 and the y-intercept is b = 4.
To graph the solution, you can pick a few x-values and substitute them into the inequality to find the corresponding y-values.
You can use x = -2, x = -1, x = 0, x = 1, x = 2, for example and find the y-values for each x, y < 2* -2 + 4 = 0, y < 2* -1 + 4 = 2, y < 20 + 4 = 4, y < 21 + 4 = 6 and y < 2*2 + 4 = 8.
Then plot those points on a coordinate plane and draw the line that goes through them, and shade the half-plane that is below the line
Hence, the solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.
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(109.99)^2
What is the answer of this using the Identities?
Answer:
12097.8001
Step-by-step explanation:
Outliers: 2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129 find the Median: Q3: QI: IQR:
The median of the given data is 52, the lower quartile (Q1) is 41, the upper quartile (Q3) is 74, and the interquartile range (IQR) is 33.
Median: 52
Q1: 41
Q3: 74
IQR: 33
1. Arrange the numbers in ascending order: 38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
2. Count the number of data points: 12
3. Calculate the median by adding the two middle numbers and dividing by two: (47 + 48) / 2 = 52
4. Calculate the lower quartile (Q1) by finding the median of the lower half of the data: 41
5. Calculate the upper quartile (Q3) by finding the median of the upper half of the data: 74
6. Calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile: 74 - 41 = 33
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How to get good grades in grade 7
Answer:
Use brainly. or pay better attention in class.
Step-by-step explanation:
Solve the equations. Write your solutions in the second row of the table. Then use the chart to match each number with a letter. Write the letters in the bottom row. What word is revealed?
1. Solve 2x + 1 = 7. (2 points)
2. Solve 4x + 7 = 11. (2 points)
3. Solve 2x – 3 = 7. (2 points)
4. Solve x + 3 = 4. (2 points)
5. Solve 3x – 11 = 19. (2 points)
The solutions for the following equations are:
1. 2x + 1 = 7, x = 3
2. 4x + 7 = 11, x = 1
3. 2x - 3 = 7, x = 5
4. x + 3 = 4, x = 1
5. 3x - 11 = 19, x = 10
How do you calculate the values?1. 2x + 1 = 7
2x = 7 - 1 = 6
2x = 6
divide both sides by 2
x = 6/2, x = 3
2. 4x + 7 = 11
= 4x = 11 - 7
= 4x = 4
divide both sides by 4
x = 4/4, x = 1
3. 2x - 3 = 7
= 2x = 7 + 3
= 2x = 10
divide both sides by 2
x = 10/2, x = 5
4. x + 3 = 4
= x = 4 - 3
x = 1
5. 3x - 11 = 19
3x = 19 + 11
3x = 30
divide both sides by 3
x = 30/3
x = 10
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Katie would go to the park everyday and each day she recorded how many dogs were in the park. Day
1: there was 4 dogs, Day 2: 3 dogs, Day 3: 6 dogs, Day 4: 1 dog and Day 5: 8 dogs. Over the next 3 weeks the same amount of dogs turned up each day. How many dogs did she see over the 3 weeks?
Answer:
Katie recorded a total of 4 + 3 + 6 + 1 + 8 = 22 dogs over the first 5 days. If the same number of dogs turned up each day for the next 3 weeks, then she would have seen the same number of dogs per day for an additional 21 days (3 weeks * 7 days/week = 21 days). So in total, over the 3 weeks, she would have seen 22 dogs/day * 21 days = 462 dogs.
Step-by-step explanation:
Decide whether the following situation is linear, exponential or neither.
A manager of a store receives a 5% raise every year.
Answer: I believe the answer is linear.
Step-by-step explanation:
To answer, this we'll have to look up the definition. Linear in math means "a straight line." However, exponential means it has curves in it. And if the manager gets a 5% salary every year, keyword every, it means he gets the same amount each year, making that a straight line in a graph.
Question 3 (1 point)
Writes an equation that can be used to show the relationship between the side lengths of the
triangle based on the Pythagorean Theorem.
261 cm²
O a
Ob
Oc
Od
19 cm
19 cm
Question 3 of 5 | Page 3 of 5
x² +261 = 19
x + 261 = 19
x² +261² = 19²
x² +261 = 19²
On solving the provided question, An expression that finds the sum of x and y => X + Y
What is an expression?a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples - 2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.
An expression that finds the sum of x and y -
=> X + Y
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A game includes spinning the spinner with 6 equal sections and then rolling a number
cube with numbers 1-6.
What is the probability of spinning yellow and having the number cube show an odd
number?
The probability of spinning yellow and having the number cube show an odd number = 1/12.
What is probability ?
probability can be defined as the ratio of number of favourable outcomes and total number of outcomes .
Given,
A game includes spinning the spinner with 6 equal sections
Then rolling a number cube with numbers 1-6.
Let the probability of spinning a yellow be x .
and the probability of having the number cube showing an odd number be y .
so,
The probability of spinning yellow and having the number cube show an odd number = x * y .
x = 1/6 .
y = 3/6
y = 1/2
So,
x*y = 1/6 * 1/2
x*y = 1/12
Hence, The probability of spinning yellow and having the number cube show an odd number = 1/12.
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test due tonight help please
graph each equation or inequality.
-4y > -x + 12
The solution is the set of all points (x,y) that satisfy the inequality y < x/4 - 3.
What is the graph of a function?
The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.
The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.
-4y > -x + 12 is a linear inequality. To solve this inequality, we can start by isolating y:
y < x/4 - 3
This inequality is in slope-intercept form (y = mx + b), where the slope is m = -1/4 and the y-intercept is b = -3.
To graph the solution, you can pick a few x-values and substitute them into the inequality to find the corresponding y-values.
You can use x = -8, x = -4, x = 0, x = 4, x = 8 for example and find the y-values for each x, y < -8/4 -3 = -2, y < -4/4 -3 = -1, y < 0/4 -3 = -3, y < 4/4 -3 = -1 and y < 8/4 -3 = -1/2.
Then plot those points on a coordinate plane and draw the line that goes through them, and shade the half-plane that is above the line
Hence, the solution is the set of all points (x,y) that satisfy the inequality y < x/4 - 3.
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Charlene's science teacher allows students to drop their lowest quiz grade. The expression below represents Charlene's adjusted
quiz average after dropping the lowest grade, where x is the total number of quizzes Charlene took in science this year.
92-65
z-1
Which of the following is the best interpretation of the numerator in the given expression?
O A. The numerator represents the sum of the grades from Charlene's quizzes that were not dropped.
B. The numerator represents the difference between Charlene's quiz average and her lowest quiz grade.
OC. The numerator represents the difference between Charlene's original and adjusted quiz averages.
OD. The numerator represents Charlene's quiz average before dropping the lowest grade.
The expression that is the best interpretation of the numerator in the given expression is option B. The numerator represents the difference between Charlene's quiz average and her lowest quiz grade.
What is a numerator?A numerator is the top part of a fraction that represents the quantity being divided. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. The numerator represents the number of parts being considered out of the total number represented by the denominator.
Therefore, the expression that expresses the interpretation of the numerator in the given expression is option B.
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The ratio of tamotoes to green pepper in a salad is 20/24 write a equivalent ratio where the number of tomatoes is the least possible whole number of green peppers is also a whole number
What is the rule of 0 1 1 2 3 5 8?
The rule of the sequence 0 1 1 2 3 5 8 is that each term is obtained by adding the previous two terms.
The sequence 0 1 1 2 3 5 8 is a famous example of the Fibonacci sequence. The Fibonacci sequence is a sequence of numbers in which each term is the sum of the two preceding terms. In this case, the first two terms of the sequence are 0 and 1, and the rest of the terms are obtained by adding the previous two terms.
It's also possible to express the rule of the Fibonacci sequence by using the formula, F(n) = F(n-1) + F(n-2) where F(n) is the nth term of the sequence.
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I need help on both of them
Answer: 4c^7d^8
Step-by-step explanation:
That was for a
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
Divide the coefficients (8/2)
Subtract the exponents (c⁴ - c³, d⁵ - d³)
-11с(а-d) + 121c²(a-d)² a=4 c=2 d= - 2,5
The value of the expression at, a= 4, c = 2, and d = - 2.5 is 18768.75.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression -11с(а - d) + 121c²(a - d)² at, a= 4, c = 2 and d = - 2.5.
Simplifying the expression -11с(а - d) + 121c²(a - d)² we have,
= -11с(а - d) + (11c)²(a - d)².
= - 11c[(a - d) - 11c(a - d)²].
= - 11×2[4 + 2.5) - 11×2(4 + 2.5)²].
= - 22[6.25 - 22(6.25)²].
= - 22[6.25 - 22×39.0625].
= - 22[6.25 - 859.375].
= - 22[- 853.125].
= 18768.75.
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just need help with this
The total profit is $ 16 earned by selling Pies and Cobblers in the market.
What is System of Equation ?A system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
A finite collection of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model issues when the unknown values may be represented by variables.
A system of equations has only one unique solution if the L.H.S. and R.H.S. of all the provided equations in the system are identical when the variable or point of intersection of the lines representing those equations is substituted.
The number of pies made by John be x and number of cobblers be y.
profit on each Pie is $ 3 and that on Cobbler is $ 2
Let the number of cups of apple used in making pie be 3x
number of cups of flour used in making Pie is 2x
Let the number of cups of apple used in making cobbler be 2y
number of cups of flour used in making cobblers is 3y
Now as per the sum,
3x + 2y = 16 .........(i)
2x + 3y = 15 ..........(ii)
Multipling equation 1 with 2 and equation 2 with 3 then subtracting eq i from ii we get ,
6x + 4y - 6x - 9y = 32 - 45
y = 2.6 and x = 3.6
Now the total profit is 3*3.6 + 2* 2.6 = $ 16.
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help its fro a test and I been doing it all day For
graph equation or inequality.
2y – 4x < 8
The graph of the equation or inequality 2y – 4x < 8 is given the in the attachment.
What is inequality?The term inequality refers to a mathematical expression with unequal sides. An inequality compares two values and determines whether one is less, greater, or equal to the value on the other side of the equation. In general, inequality equations are represented by five inequality symbols.
The inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠).
Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.
Given that:
2y – 4x < 8
2y < 4x +8
y < 2x + 4
Plot this on graph.
Thus, y < 2x + 4 is inequality to be plotted on the graph.
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48. What is TRUE about permanent life insurance?
There is no value to the insurance above the death benefits.
The cash value of the insurance remains fixed.
It only covers a specific period of time.
The cash value of the insurance increases as the premiums accumulate.
Insurance is worth nothing more than a death benefit. Choice A is the correct choice.
What is insurance?Insurance is a form of protection against financial loss in which one party agrees to compensate the other party for a fee in the event of certain loss, damage, or injury. It is a type of risk management designed primarily to mitigate the risk of potential or uncertain losses. Capital life insurance is a generic term for capital life insurance.
Whole life insurance and universal life insurance are the two main types of whole life insurance, and most whole life policies combine a death benefit and a savings portion. Life insurance can cover the life of the insured and increase their savings by a guaranteed percentage. Similar to term life insurance, universal life insurance includes death benefits and savings, but with different premium structures and returns depending on market dynamics.To learn more about Permanent life insurance refer to:
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Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 0?-517√22 √2 −5
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
The equation is √ 2x² − 5x+ √ 2 = 0
So the value of a, b, c are 2, -5, √2 respectively
Therefore, the discriminant is (-5)² - 4(2)(√2) = 25 - 8√2
So, The discriminant for √ 2x² − 5x+ √ 2 = 0 is -8√2
Answer:
The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula:
b² - 4ac
Given the equation √ 2x² − 5x + √ 2 = 0, we can find the discriminant by substituting the values of a, b, and c into the formula:
b² - 4ac = (-5)² - 4(√2)(√2) = 25 - 8 = 17
So, the discriminant of the equation √ 2x² − 5x + √ 2 = 0 is 17
Step-by-step explanation:
Find all solutions of the equation cos x (2 sin x + 1) = 0. on the
interval [0, 27).
The answers are A, B, C and D where 0 < A < B
for T.
A =
B =
C=
D =
Answer:
A = 0,
B = π/2,
C = 3π/2,
D = 2π
Step-by-step explanation:
Given that 1 pound equal 16 ounce, what i the ratio of 1 pound, 4 ounce to 3 pound, 10 ounce
Our required ratio will be 8: 2: 24: 5 as per the given problem.
In our question, it is given that 1 Pound is equal to 16 ounces.
We will use this criterion for the rest of our solution.
Let’s convert all pounds to ounces.
1 pound =16 ounce
3 pound = 48 ounce
Now as per the problem, we have to find the ratio of 1 pound, 4 ounces, 3 pounds, 10 ounces.
= 1 pound: 4 ounces: 3 pounds: 10 ounce
= 16 ounces: 4 ounces: 48 ounces: 10 ounce
= 8: 2 : 24: 5
So our required ratio is 8: 2 : 24: 5.
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A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for π
The area of the path alone is equal to 178.98 square feet.
What is the area of the path alone?Remember that the area of a circle of radius R is:
A = pi*R^2
Where pi = 3.14
The area of the path alone will be equal to the difference between the areas of the circles where the path is included (radius of 11ft) and the area of the garden alone (radius is 8ft)
Then the area of the path alone is:
A = 3.14*(11 ft)^2 - 3.14*( 8 ft)^2
A = 178.98 ft^2
That is the approximate area of the path alone.
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