The degree of measure of the angle ACP is 31.5°
The term angle in math is defined as the figure that is formed when two rays are joined together at a common point.
Here we have given that the total area of the given diagram is the sum of two semicircles with arc AB and arc CB having radius R and r respectively
Then it can be written as
=> R = AC
And the value of r = DB
Then the value of R is written as
=> R = 2 × r
So here we know that the area of the semicircles are given as follows
Here we have to write the semicircle with arc AB is written as
=> A₁ = π × R²/2 =
=> A₁ = π × (2×r)²/2
Then the value of A₁ is 2πr²
Similarly for the semicircle with arc CB is calculated as,
=> A₂ = π × r²/2
=> A₂ = 1/2πr²
Therefore, the degree of angle is 31.5°
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costs $14 per month plus $2 per movie watched. Plan B costs $20 per month plus $1
per movie watched. Let A represent the monthly cost of Plan A if Bo watches a per
month, and let B represent the monthly cost of Plan B if Bo watches x movies per
month. Graph each function and determine the number of monthly movies watched,
x, that would make the two plans have an equal monthly cost.
We can see from the graph that Plan B is less expensive for the range [0, 4], however Plan A is superior if you watch 4 or more movies per month.
How are the cost equations obtained?We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:
C₁(x) = $14 + $2*x
Plan B costs $20 per month plus $1 per movie, so if you watch x movies, the cost is:
C₂(x) = $20 + $1*x
You can see in the graph that the blue line is behind the green one between x = 0 and x = 4. Plan B is therefore less expensive in the range [0, 4].
The green line is underneath the blue one for x > 4, hence you should select plan A for x > 4.
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different types of polygons?
The types of polygons are different based on the number of sides they have and the sum of their interior angles.
What are the different types of polygons ?The characteristics of different polygons are defined by the number of sides they have and the measure of their angles. Some polygons include:
Triangles: A polygon with three sides. They can be classified as equilateral, isosceles, or scalene based on the measure of their angles.Quadrilaterals: A polygon with four sides. They can be classified as square, rectangle, rhombus, or parallelogram based on the measure of their angles.Pentagons: A polygon with five sides. They can be regular or irregular, based on the measure of their angles.Hexagons: A polygon with six sides. Heptagons: A polygon with seven sides. Octagons: A polygon with eight sides. Nonagons: A polygon with nine sides.Decagons: A polygon with ten sides.There are other polygons and they change based on the number of sides they have.
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Which data outcome of stock prices would best support the idea that there is more risk with that stock?
High mean with high standard deviation
Low mean with high standard deviation
High mean with small standard deviation
Low mean with small standard deviation
High mean with High standard Deviation is the data outcome of stock prices would best support the idea that there is more risk with that stock.
Stock Price:
The stock price is the price of one share out of the number of shares available for sale in the company. Simply put, stock price is the maximum amount someone is willing to buy a stock, or the minimum amount someone is willing to buy.
High mean with High standard Deviation:
A high standard deviation literally means a large mean deviation from the mean. For example, a good dart his player can throw darts on the dartboard and group the darts across the bullseye. A poor darts player will hit the entire board with the darts and even miss the board completely and hit the wall. A good darts player has a smaller average distance from the bullseye to the dart, and therefore a lower standard deviation. Bad darts players have a higher standard deviation because the average distance of their darts from the bullseye is greater.
There are no objective criteria for small and large standard deviations. We can only determine whether the mean deviation is small or large, depending on the context and what is being measured. For example, when throwing a dart, being one foot away from the target is a large deviation, but when swinging a wrecking ball against a wall, it is a small deviation. It has a different purpose than darts.
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I need help please!! assume that the height of your cylinder is 8 inches. consider a as a function of r, so we can write that as a(r)=2πr2 16πr. what is the domain of a(r)? in other words, for which values of r is a(r) defined? part b: continue to assume that the height of your cylinder is 8 inches. write the radius r as a function of a. this is the inverse function to a(r), i.e to turn a as a function of r into. r as a function of a.
a. The domain of a(r) is [tex]A(r)= 2\pi r^{2} + 16\pi r[/tex].
b. The radius r as a function of a is [tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex] .
What In Geometry Is a Cylinder?The three-dimensional solid shape of a cylinder is made up of two circular bases joined by a curving surface that is created by folding a rectangle. A cylinder's top and bottom faces are parallel to one another. There are 3 faces, 2 edges, and 0 vertices in all.
In this question, we must apply our understanding of cylinders to determine the function that most accurately captures its value:
[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]
The area domain of A can be represented as:
[tex]A(r)= 2\pi r^{2} + 16\pi r[/tex]
Let's divide the equation by 2π and write A(r) as just A to get:
[tex]r^{2} + 8r = \frac{A}{2\pi }[/tex]
So, after we sum on both sides we get,
[tex]r^{2} +8X +16 =\frac{A}{2\pi } + 16[/tex]
[tex](r+4)^{2} = \frac{A}{2\pi } +16[/tex]
By taking the square root of the previous equation and then figuring out r, we get:
[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]
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honduran futbolito con mables and foosball in the united states are both games that mimic soccer. how are the two games different?
The two games are different as Honduran futbolito is typically played on a small, concrete court.
How are the games different?Honduran futbolito and foosball in the United States are both games that mimic soccer, but they have some key differences. Honduran futbolito is typically played on a small, concrete court with walls that the ball can be played off of.
The game is usually played with a smaller, harder ball than a standard soccer ball. Foosball, on the other hand, is played on a table with miniature figures mounted on rods that players use to strike the ball. The game is usually played with a small, lightweight ball. Both games can be played with teams or individually, but Foosball is more common as a table-top game, while Futbolito is a street game.
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A hose manufacturer tests the fittings on every 20th hose on an assembly line. Out of 145 hoses tested, 2 had issues with loose fittings. How many hoses with loose fittings should the manufacturer expect out of 2,900 hoses?
There are 40 hoses with loose fittings should the manufacturer expect out of 2,900 hoses.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A hose manufacturer tests the fittings on every 20th hose on an assembly line.
And, Out of 145 hoses tested, 2 had issues with loose fittings.
Let number of hoses with loose fittings should the manufacturer expect out of 2,900 hoses = x
So, By definition of proportion, we get;
⇒ 2 / 145 = x / 2900
⇒ 2×2900 / 145 = x
⇒ x = 40
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Find a nonzero vector orthogonal to the plane through the points P, Q, and R.P(1,0,1), Q(-2,1,3), R(4,2,5)
The non zero vector orthogonal to the plane through P,Q and R is ⟨0,18,−9⟩
A non-zero vector orthogonal to the plane through the points P, Q, and R can be found by taking the cross product of two vectors that lie in the plane. One way to do this is to take the difference vector of two of the points, and then take the cross product of that difference vector with the difference vector of the third point.
For example, we can use the difference vector QP = (-2,1,3) - (1,0,1) = (-3,1,2) and the difference vector RP = (4,2,5) - (1,0,1) = (3,2,4)
The cross product of these two vectors is:
(-3,1,2) x (3,2,4) =⟨0,18,−9⟩
so the non-zero vector orthogonal to the plane through the points P, Q, and R is ⟨0,18,−9⟩
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what is the end behavior of:
1. [tex]\sqrt[3]{6x}[/tex]
2. [tex]\sqrt[3]{x-5}-6[/tex]
3. [tex]-3\sqrt[3]{x+3}+7[/tex]
[tex]\sqrt[3]{6x}[/tex] has no real end behavior as x can be both positive and negative.
[tex]\sqrt[3]{x-5}-6[/tex] will approach negative infinity as x approaches negative infinity and positive infinity as x approaches positive infinity.
[tex][-3 \sqrt[3]{x+3}+7][/tex]will approach positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.
What is the end behavior of an equation?Generally, The behavior of a function's graph at the "ends" of the x-axis is referred to as the function's "end behavior," and it is described by the symbol f. To put it another way, the trend of the graph may be described by the end behavior of a function if we look to the right end of the x-axis (as x approaches +) and to the left end of the x-axis (as x approaches ).
Take a look at the leading term of the polynomial function to get an idea of how it will behave in the end.
Because the power of the leading term is more than that of the other terms, whether x is made extremely big or very tiny, the leading term's behavior will predominate the graph because it will increase substantially quicker than the growth of the other terms.
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Hey umm guys can anyone help
Ross is studying the rate of change in the velocity of a remote controlled car. he notices that the velocity of the car is increasing at a constant rate.
Ross is studying the rate of change in the velocity of a remote controlled car he notices that the velocity of the car is increasing at a constant rate.
Graph representing the fastest rate of change of velocity of car.
Instantaneous rate of change of velocity with respect to time is referred to as Acceleration. It is calculated by the following method :
Acceleration is represented as the slope of the velocity-time graph.
This means that higher the slope of the graph (steeper graph) , higher will be the acceleration. This in turn means that the rate of change of velocity will be more.
Acceleration = dv/dt = slope of graph
Among the graphs , graph A will have maximum rate of change of velocity because the graph is most steep (max slope).
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If 40% of a no is 256, what is 25% of that number.
Answer:
160
Step-by-step explanation:
.4x = 256 Divide both sides by .4
[tex]\frac{.4x}{.4}[/tex] = [tex]\frac{256}{.4}[/tex]
x = 640
What is 25% of 640
.25(640) = 160
Answer:
160
Step-by-step explanation:
laura is drawing a rectangle. the width will be 3 centimeters, and the area will be at least 18 square centimeters. let x represent the length of the rectangle. which inequality describes the problem?
The inequality that describes the problem is 3x ≥ 18.
This means that the length of the rectangle (x) must be greater than or equal to 6 centimeters in order to ensure that the area of the rectangle is at least 18 square centimeters.
To calculate this, we need to rearrange the equation to x ≥ 6. This is done by dividing both sides of the equation by 3, which gives us the result of x ≥ 6.
To demonstrate this, we can assume that the length of the rectangle is 7 centimeters (x = 7). Plugging this value into the equation 3x ≥ 18 gives us 3(7) ≥ 18, which simplifies to 21 ≥ 18. Since this is true, we know that the length of the rectangle (7 centimeters) satisfies the inequality 3x ≥ 18.
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How do you find midpoint with ratio?
Midpoint of any line segment can be calculated using equal ratio which is given by ( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].
As given in the question,
Let us consider two endpoints of the line segment be ( x₁ , y₁ ) and (x₂ , y₂ ).
Midpoint divides the line segment into equal ratio.
Line segment divided into equal ratio of m : m
Coordinates of the mid point be ( x , y ) is given by
( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ]
Line segment divided into the ratio 1 : 1
Then midpoint is equal to
(x ,y ) = [ (x₁ + x₂ )/2 , (y₁ + y₂ )/2]
Therefore, the midpoint calculated with some definite ratio is given by
( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].
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Which figure shows an example of symmetry?
O A.
OB.
C.
D.
J Z
← PREVIOUS
Answer:
D
Step-by-step explanation:
If you folded the figure on the line of symmetry. The right side would fit perfectly over the left side.
If the area of the parking lot is 846 square meters, what is the perimeter? (Hint: The formula for the area of a trapezoid is A=h2(b1+b2) ).
On solving the provided question, we can say that Area of square = SxS=846 and perimeter of square = 4xS= 846/4=S= 211.5=Side.
what is a square?A square is an equilateral quadrilateral with four equal sides and four equal angles according to Euclidean geometry. It is also known as a rectangle with two neighboring sides that have the same length. Having all four equal sides and all four equal angles, a square is an equilateral quadrilateral. 90 degree or straight angles are square angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. a neighboring rectangle with two equal sides. a quadrilateral with four right angles and four sides of equal length. a parallelogram having two adjacent, equal sides that form a right angle. straight-sided rhombus.
Area of square = SxS=846
Perimeter of square = 4xS= 846/4=S= 211.5=Side.
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The correct question is -
A parking lot is shaped like a trapezoid as shown. If the area of the parking lot is 846 square meters, what is the perimeter? (Hint: The formula for the area of a trapezoid is (A=h2(b1+b2)
Using only pennies, nickels, dimes, and quarters, what is the smallest number of coins Freddie would need so he could pay any amount of money less than a dollar?A. 6B. 10C. 15D. 25E. 99
The smallest number of coins Freddie would need is 4 (one penny, one nickel, one dime, and one quarter).
What is algebra ?
Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It includes the study of operations such as addition, subtraction, multiplication, division, and the extraction of roots, as well as the properties of operations such as commutativity, associativity, and distributivity.
In order to be able to pay any amount of money less than a dollar, Freddie would need to have at least one coin of each denomination: pennies, nickels, dimes, and quarters. The smallest number of coins he would need to achieve this is 4. With one penny, one nickel, one dime, and one quarter, he would be able to pay any amount of money less than a dollar by using combinations of these coins.
Therefore , The smallest number of coins Freddie would need is 4 (one penny, one nickel, one dime, and one quarter).
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Find the acute angle between the lines. (Round your answers to the nearest degree.)
(a) 9x − y = 5, 3x + y = 6
(b) x + 2y = 7, 5x − y = 2
The angle is acute and the answer rounded to the nearest degree is 13.2 degrees for (a) and 71.8 degrees for (b)
(a) To find the acute angle between the lines, we need to find the slope of each line and use the inverse tangent function to find the angle between them. The slope-intercept form of the first line is y = -9x + 5 and the slope-intercept form of the second line is y = 3x - 6.
The slope of the first line is -9 and the slope of the second line is 3. To find the acute angle between the lines, we can use the formula:
angle = atan2(|m1-m2|,1+m1*m2)
where m1 and m2 are the slopes of the lines.
angle = atan2(|-9-3|,1-9*3)
= atan2(6, -24)
= atan2(6/sqrt(24^2+6^2),-24/sqrt(24^2+6^2))
= atan2(6/sqrt(600),-24/sqrt(600))
= atan2(6/24.4987, -24/24.4987)
= atan2(0.244, -0.976)
= atan2(0.244/sqrt(0.244^2+0.976^2),-0.976/sqrt(0.244^2+0.976^2))
= atan2(0.244/1, -0.976/1)
= atan2(0.244, -0.976) = 13.2 degree.
(b) The slope-intercept form of the first line is y = (7-x)/2 and the slope-intercept form of the second line is y = (2-5x)/(-1).
The slope of the first line is -1/2 and the slope of the second line is 5. To find the acute angle between the lines, we can use the formula:
angle = atan2(|m1-m2|,1+m1*m2)
where m1 and m2 are the slopes of the lines.
angle = atan2(|-1/2-5|,1-(-1/2)*5)
= atan2(5.5, -2.5)
= atan2(5.5/sqrt(5.5^2+2.5^2),-2.5/sqrt(5.5^2+2.5^2))
= atan2(5.5/6.1213, -2.5/6.1213)
= atan2(0.901, -0.408)
= atan2(0.901/sqrt(0.901^2+0.408^2),-0.408/sqrt(0.901^2+0.408^2))
= atan2(0.901/1,-0.408/1)
= atan2(0.901,-0.408) = 71.8 degrees.
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william wants to make 40 pounds of mixture of nuts by combining peanuts selling for 2.40 for pound with cashews selling for 3.20 per pound. if the mixture is to cell for 2.70 per pound, how much of each type of nut should william use i the mixture.
William should use 0.625 pounds of peanuts, and 0.375 pounds of cashews in the mixture.
Given that,
The selling price of peanuts= $2.40
The selling price of cashews= $3.20
Let x be the amount of that pound composed of peanuts. (1-x) of that pound is composed of cashews.
The total price of such a pound mix is 2.4x + 3.2(1-x) = 2.7
2.4x + 3.2(1-x) = 2.7
2.4x + 3.2 - 3.2x = 2.7
-0.8x + 3.2 = 2.7
-0.8x = -0.5
x = 5/8 = 0.625 pounds of peanuts, and 1-5/8=3/8= 0.375 pounds of cashews.
Thus, William should use 0.625 pounds of peanuts, and 0.375 pounds of cashews in the mixture.
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PLEASE HELP ASAP!!!!!! DON'T KNOW IF THIS IS THE RIGHT ANSWER 100 points
Answer: I think it is the first one
Step-by-step explanation:
Answer:
I'm pretty sure it's x^2 - 4x
Step-by-step explanation:
Write an equation involving absolute value for the following graph:
Answer:
|x+3|=2
Step-by-step explanation:
We need to make the equation so that -5 and -1 both work, so this equation is one of many that we can construct.
Answer: i cant see
Step-by-step explanation:
How long would it take Sally to travel 9 feet?
We would need more information to answer this question. For example, Sally’s speed.
Step-by-step explanation:
In circle D with the measure of minor arc CE= 30°, find m/CFE.
The measure of the angle ∠CFE is 330°.
Arc length is more accurately described as the length along the perimeter of any circle or curve (arc). The arc length is the measurement of any distance along the curved path that forms the arc.
Arc refers to a segment of a curve or the circumference of a circle. Each of them is shaped like a curve. An arc's length is more than the distance in a straight line between its endpoints (a chord).
The angle ∠CFE is calculated as:-
∠CFE = 360 - ∠CEF
∠CFE = 360 - 30
∠CFE = 330
Hence, the angle ∠CFE is 330°.
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Without graphing, determine whether the system of linear equations in two variables is consistent and dependent, consistent and independent, or inconsistent.
Answer:
Inconsistent as there are two same equations with different values.
So this doesn't make sense.
Is dividing by 0.5 the same as dividing by 2?
The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers .
Let us understand the Division with the help of example ;
let the number be 10 ;
first we divide the number 10 by 0.5 ;
this can be written mathematically as ⇒ [tex]\frac{10}{0.5}[/tex] ;
⇒ [tex]\frac{10}{\frac{1}{2} }[/tex] = [tex]10\times2[/tex] = 20 ;
So , on dividing 10 by 0.5 , we get the answer as 20 .
Second , the number 10 is divided by 2 ;
this can be written mathematically as ⇒ [tex]\frac{10}{2}[/tex] ;
⇒ [tex]\frac{10}{2 }[/tex] = 5 ;
So , on dividing 10 by 2 , we get the answer as 5 .
Therefore , dividing by 0.5 is not same as dividing by 2 .
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Terrignonium-220 has a half life of 6 hours. Write an equation to model how much Terrignonium-220 would remain from a 50 g sample after x hours.
y = 50 (0.5)* y = 50 (0.5) 6x y = 50 (0.5)x/6 y = 50 (0.5) 6/x
Answer:
sorry i got to
Step-by-step explanation:
The graph of the relation S is shown below.
Give the domain and range of S.
Write your answers using set notation.
Domain: [-2, 2]
Range: [-4, 3]
Sequences help, it is due in tommorow
The number that comes immediately before 4099 in the sequence is 2051.
You can get this by using the rule given: "double the last number and then subtract 3"
4099/2-3 = 2049
What are the characteristics of an absolute value function?
Answer:Its domain is all real numbers. Its range is all real numbers greater than or equal to zero. Its graph lies completely above the x-axis.
what is the most likely cause of the change in population size in year 6 shown in the graph below? a graph with years on the x-axis from 4 to 7 and rabbits on the y-axis from 0 to 400, by hundreds. the line begins at (0, 95), small increases and decreases through year 6, then increases greatly to end at (7.25, 275). a. an increase in the amount of land available b. a decrease in the amount of land available c. a cold spring d. a hot summer please select the best answer from the choices provided
The most likely cause of the change in population mean in year 6 is an increase in the amount of land available, which allowed for an increase in the number of rabbits.
The most likely cause of the change in population size in year 6 shown in the graph is an increase in the amount of land available. The graph shows the population size of rabbits over different years, beginning at year 4 and ending at year 7. At the beginning of year 4, the population size of rabbits is 95, and the population size increases and decreases slightly through year 6. After year 6, the population size increases greatly, ending at 275. This suggests that there was an increase in the amount of land available, which allowed for an increase in the population size of rabbits. This increase in the available land could have been due to any number of factors, such as increased human settlement, a decrease in the number of predators, or improved access to food sources. All of these factors could have led to an increase in the number of rabbits, and the resulting change in population size in year 6.
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If = -2, compute the value of a + 2b.
If a=-2 and b=1 the value of a+2b=0
What is the equation in maths?A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.
What is an equation example?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
According to the given question;
If a=-2 and b=1 the value of a+2b=0
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