How many cm in 63 inches?

The equation of the line perpendicular to y = -4x + 4 that contains the point (5, -1) is y = 1/4x - 9/4.

The given equation is y = -4x + 4, which is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To find the slope of the given line, we can compare it to the slope-intercept form and see that the slope is -4.

Since we want to find the equation of a line that is perpendicular to the given line, we know that its slope will be the negative reciprocal of -4.

The negative reciprocal of -4 is 1/4, so the slope of the perpendicular line is 1/4.

Now we have the slope of the line and a point that it passes through, so we can use the point-slope form of a line to write the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope we just found.

Plugging in the values, we get:

y - (-1) = 1/4(x - 5)

Simplifying this equation, we get:

y + 1 = 1/4x - 5/4

Subtracting 1 from both sides, we get the final equation:

y = 1/4x - 9/4

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a)  The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

Given that:

Radius of the circle, r = 8.20cm

Charge distributed along one-quarter of the circumference of the circle,

Q1 = +4.20pC

Charge distributed along 3/4th of the circumference of the circle,

Q2 = 25.20pC

Distance of the point from the center, d = 6.71cm

The electric potential at infinity is. V = 0

Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values ​​can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.

Formula:

The potential due to a point charge at a distance r from the point charge is determined by the equation V = [tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex]        ---------------- (1)

The potential due to the collection of point charges is determined by formula:

V = ∑[tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex]                 -------------------- (2)

(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}[/tex]              --------------------- (3)

Here, R is the radius of circle

The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex]                 ----------------------- (4)

Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:

    [tex]V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex]

⇒ [tex]V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})[/tex]

⇒ 9.0 × 10⁹Nm²/C₂ ([tex]\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}[/tex])

⇒ -2.30V

The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

(b) From the above figure the r between each charged particle and the point P is given as:

[tex]r = \sqrt{R^{2}+D^{2} }[/tex]                    

In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "

[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }[/tex]                  ------------------ (5)

Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }[/tex]                   -------------------- (6)

A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:

[tex]V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })[/tex]

= -1.78V

The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

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The commutative property of multiplication can be used to rewrite the given term as; 4g³h⁴.

The commutative property of multiplication simply postulates that changing the order of factors does not change the product. Hence; a × b = b × a.

Hence, since the given expression; 4gh³g²h can be written using the commutative property as;

4 • g • g² • h³ • h.

Consequently, the resulting form of the term is therefore; 4g³h⁴.

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a) The point that is on both lines is given as follows: (4, 60).

b) They will have read the same number of pages on the 4th day, when they will have read 60 pages.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

The equations for this problem are given as follows:

Then the ordered pair representing the solution is given as follows:

(5,60).

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The equation solved for b is b = y/m

The equation y = m x b is a linear equation in slope-intercept form, which is commonly used to describe the relationship between two variables in a line. In this equation, the variable m is the slope of the line, and b is the y-intercept, or the point at which the line crosses the y-axis.

To solve this equation for b, we can rearrange it to isolate b on one side of the equation.

To do this, we can divide both sides of the equation by m, giving us y/m = b.

This is an equivalent equation that is solved for b, as b is on its own on the right side of the equation. Therefore, the equation solved for b is y/m = b

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The value of conversion of 100 minutes to hours is equal to  1 ( 2/ 3 ) hours.

Conversion of minutes to hours is :

One hour is equal to sixty minutes

⇒ 1 minutes = ( 1 / 60 ) hours

Substitute the required value to convert into hours we get ,

⇒ 100 minutes ( 100 / 60 ) hours

⇒ 100 minutes = 1  40 / 60 hours

⇒ 100 minutes = 1 2 / 3 hours

Therefore, after converting minutes into hours the value of 100 minutes is equal to 1 ( 2 / 3 ) hours.

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The high - level design steps include :

High-level design steps refer to the early stages of the design process where the system is defined in general terms.

Defining system requirements and constraints involves collecting information about the system's desired features and capabilities. This information may come from various stakeholders, including customers, users, and subject matter experts.

Another important step involves identifying and addressing potential security risks and designing appropriate security measures.

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Options for this question include :

The ramp will upward push to a top of about 18.8 inches at its maximum end.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given, The ramp has a length of 34 inches, The angle of elevation from the ground is 20 degrees.

We can use trigonometry to solve this problem.

The height of the ramp can be found using the following formula:

Height = Length x sin(θ)

where,

"Length" is the length of the ramp

"θ" is the angle of elevation in radians.

To convert the angle of elevation from degrees to radians,

angle in radians = (angle in degrees) x (pi/180)

Substituting the values we have, we get:

angle in radians = 20 x (pi/180) = 0.349 radians

Then, we can calculate the height of the ramp using the formula:

Height = 34 x sin(0.349)

= 18.8 inches (rounded to the nearest tenth)

Therefore, the ramp will rise to a height of approximately 18.8 inches at its highest end.

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Answer:

115m

Step-by-step explanation:

Given

In TriangleXYZ

XZ = 23m

ZY = 19m

In TriangleXVW

WV = 95m

Solution

In Triangles XYZ and XVW

AngleWXV = AngleYXZ as they are Vertically Opposite Angles

AngleXWV = AngleXZY as they are Alternate Angles

Therefore TriangleXYZ and TriangleXVW are Similar Triangles

So,

XY/XV = YZ/VW = XZ/XW as they are Corresponding Sides of Similar Triangles

So,

XZ/XW = YZ/VW

or

23/XW = 19/95

23/XW = 1/5

XW = 23 × 5

XW = 115m

Therefore the distance WX is 115m

The sum of the first 10 terms of the sequence -5, 15, 45, 135 is 295240.

We can use the following formula to determine the sum of a geometric sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

where an is the first term, r is the common ratio, and n is the total number of terms, S is the sum of the sequence.

We can see that the first term in the series -5, 15, 45, 135 is -5, and the common ratio is 3. (since each term is obtained by multiplying the previous term by 3). The series contains 4 terms, hence n is equal to 4. Adding these values to the formula yields the following results:

S = -5(1 - 3^4) / (1 - 3) (1 - 3)

S = -5(1 - 81) / (-2) (-2)

S = 5(80) (80)

S = 400

The total of the numbers 5, 15, 45, and 135 equals 400.

We may once more use the following formula to determine the sum of the first 10 entries in the same sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

Instead, we will use a = -5, r = 3, and n = 10 this time. By replacing these values, we obtain:

S = -5(1 - 3^10) / (1 - 3) (1 - 3)

S = -5(1 - 59049) / (-2) (-2)

S = 5(59048) (59048)

S = 295240

The result is 295240 for the first 10 terms in the series, which are -5, 15, 45, and 135.

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68 kilograms is approximately equal to 149.91416 pounds.

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 68 kilograms to pounds,

We need to multiply the value in kilograms by 2.20462,

Since one kilogram is approximately equal to 2.20462 pounds.

Therefore,

68 kilograms multiplied by 2.20462 gives us:

68 kg x 2.20462 = 149.91416 pounds

(rounded to five decimal places)

So, 68 kilograms is approximately equal to 149.91416 pounds.

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[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=3\\ \theta =300 \end{cases}\implies s=\cfrac{(300)\pi (3)}{180}\implies s=5\pi \implies s\approx 15.71~mm[/tex]

Answer:

here is how to solve the math problems with sales tax and discount:

a) To find the total bill, we need to add the purchase price and the sales tax. To find the sales tax, we need to multiply the purchase price by the sales tax rate. The purchase price is the sum of the prices of the two pairs of shoes, which is $37 + $42 = $79. The sales tax rate is 7%, which as a decimal is 0.07. So, the sales tax is 0.07 x 79 = $5.53. The total bill is 79 + 5.53 = $84.53.

b) To find the discounted price, we need to subtract the discount from the original price. To find the discount, we need to multiply the original price by the discount rate. The original price is the same as the purchase price in part a, which is $79. The discount rate is 25%, which as a decimal is 0.25. So, the discount is 0.25 x 79 = $19.75. The discounted price is 79 - 19.75 = $59.25. To find the total bill with the coupon, we need to add the sales tax to the discounted price. The sales tax rate is still 7%, which as a decimal is 0.07. So, the sales tax is 0.07 x 59.25 = $4.15. The total bill with the coupon is 59.25 + 4.15 = $63.40.

I hope this helps!

Step-by-step explanation:

The converted value of degrees Celsius to Fahrenheit which needs to convert  4 degrees Celsius equals to 39.2 degree Fahrenheit.

Scale factor which defines  the relation between Celsius and Fahrenheit is equal to :

(°C × 9/5) + 32 =°F

Now , to get the value of 4 degree Celsius and convert into Fahrenheit apply the above formula we have,

(4°Celsius × 9/5) + 32

= ( 36 / 5 ) + 32

= ( 7.2 ) + 32

= 39.2°Fahrenheit

Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 4 degrees Celsius is equivalent to  39.2 Fahrenheit.

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In conclusion, it is not possible to determine with certainty who has what role.

Given by the solution:

Let's consider each statement one by one:

If Alice is the truth teller, then she is telling the truth, which means she can't be the truth teller, leading to a contradiction. So, Alice can't be the truth teller.

If Alice is the liar, then she is lying, which means she is the truth teller, leading to a contradiction. So, Alice can't be the liar.

If Alice is the spy, then she can either tell the truth or lie. If she tells the truth, then she can't be the truth teller, leading to a contradiction. If she lies, then she can't be the liar, leading to a contradiction. So, Alice can't be the spy.

Therefore, Alice can't have any of the roles.

If Bob is the truth teller, then he is telling the truth, which means he can't be the spy, leading to a contradiction. So, Bob can't be the truth teller.

If Bob is the liar, then he is lying, which means he could be the spy. Therefore, Bob can be the liar or the spy.

If Charlie is the truth teller, then he is telling the truth, which means he can't be the liar, leading to a contradiction. So, Charlie can't be the truth teller.

If Charlie is the liar, then he is lying, which means he could be the truth teller or the spy. Therefore, Charlie can be the liar, the truth teller or the spy.

Combining the results from the above statements, we get the following possibilities:

In conclusion, it is not possible to determine with certainty who has what role.

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25.44cm^2 is the area of the composite figure,

A composite shape is a shape that is made up of two or more figures.

The given shape is made up of circle and triangles. The area of the shaded region is expressed as:

Area = area of semicircle - area of triangle

Area of semicircle = πr²/2

Area of semicircle = 3.14(6)²/2

Area of semicircle = 3.14 * 18

Area of semicircle = 56.62 cm^2

For the triangle;

Area of triangle = 1/2absin60

For the value of a;

a/12 = cos60

a/12 = 1/2

a = 6

Area of triangle = 1/2(12)(6) sin60

Area of triangle = 31.17cm^2

Area of the shaded portion = 56.62 - 31.17

Area of the shaded portion = 25.44cm^2

Hence the area of the shaded portion is 25.44cm^2

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Answer:

1) x=5, y=5sqrt(2)

2) x=14

3) 7sqrt(2)

Step-by-step explanation:

I will give you a quick lesson.

The formula is a² + b² = c²

The longest line(usually the bottom) is C

If something is squared, multiply it by itself, for example, 6² is 36, multiply 6 by 6(6 x 6).

Do the same thing with a and b.

Then add a and b after you square them.

To make the number smaller, square root it.

Then you will get your answer, don't forget the exponent.

Sorry for not giving you the answer, but I hope this quick lesson helped you, this is how I learned, I hope this makes it easier for you. Have a GOOD DAY!

Answer:

Step-by-step explanation: (This is to show the equation of the Pythagorean Theorem.)

Remember the Pythagorean theorem is A^2 + B^2 = C^2. To find out a part of a right triangle using the Pythagorean theorem, you would find either A, B, or C. As an example, let us say that A is equal to 10, and B is equal to 8. How we find C^2, is we add A and B, but we square both numbers.

(10^2) + (8^2) = (C^2). We square 10 by itself, and we get 100 as our A. We also square 8 by itself as well, and we get 64 as our B. C does not have any number representing the variable, so we leave it as it is. 100 + 64 = 164 for C. We have to square root 164, since we're using exponents. (Please note that all my equations won't be a complete whole number, I'm using random numbers to show.) To find B or A, we find this equation. Let us keep our own variable, but C is equal to 15. To find B, we make the equation (10^2) + (B^2) = (15^2) or (A^2) + (8^2) = (15^2). To find B, We square 10 by itself to get 100, like from the last equation, but B doesn't have any number for the variable, so we keep it the same. We square 15 to get 225. After we get our 2 numbers, we subtract {100 + (B^2) = 225} ->

{(100 - 100) + (B^2) = (225 - 100)} -> {B^2 = 125}. We square root 125 to get our answer.

To find A, A doesn't have any number to fill in for the variable, We square 8 to get 64. We square 15 to get 225. After we get our 2 numbers, we subtract {(A^2) + 64 = 225} -> {A^2 + (64 - 64) = (225 - 64)} -> {B^2 = 161}. We square root 161 to get our answer. For the 3 sides: A and B, near the right triangle are both the "legs" of the triangle, while the slant of the triangle (C), is the hypotenuse.

Answer:

45.01

Step-by-step explanation:

You round to the nearest hundredth so since seven is big enough you add a 1 to the hundredth place

A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is called factor analysis.

Statistical techniques are methods and procedures used in the collection, analysis, interpretation, and presentation of data. These techniques involve the use of mathematical and statistical models to draw meaningful insights and conclusions from data.

Some common statistical techniques include:

Descriptive statistics: These techniques are used to summarize and describe the key features of a dataset, such as central tendency, variability, and distribution.

Inferential statistics: These techniques are used to make inferences about a larger population based on a sample of data. This involves using probability theory to estimate population parameters and test hypotheses.

Regression analysis: This technique is used to model the relationship between one or more independent variables and a dependent variable.

Hypothesis testing: This technique is used to test the validity of a hypothesis or claim about a population using sample data.

Time series analysis: This technique is used to analyze data that varies over time, such as stock prices or weather patterns.

Cluster analysis: This technique is used to group similar observations together based on their characteristics.

Data mining: This technique involves the use of automated methods to discover patterns and relationships in large datasets.

Statistical techniques are widely used in many fields, including business, economics, social sciences, medicine, and engineering. They are used to make informed decisions, identify trends and patterns, and to understand complex systems.

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2/4 + 4/5

=28/35 is the total distance to her grandfather's house

The value of E is [tex](-2)^{\frac{n-1}{8n} }[/tex].

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

[tex]E^{8n}[/tex] = 1 x [tex](-2)^{n -1}[/tex]

8n root on both sides.

E = [tex]((-2)^{n -1})^\frac{1}{8n}[/tex]

E = [tex](-2)^{(n-1)\times\frac{1}{8n}}[/tex]

E = [tex](-2)^{\frac{n-1}{8n} }[/tex]

Thus,

E = [tex](-2)^{\frac{n-1}{8n} }[/tex].

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The area of the rectangle will be 18a³b^6

The area of the circle will be 25x^6π

The area of the triangle will be 12a³c⁴

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

The area of the rectangle will be:

= Length × Width

= 6a²b⁴ × 3ab²

= 18a³b^6

The area of the circle will be:

= πr²

= π × (5x³)

= 25x^6π

The area of the triangle will be:

= 1/2 × base × height

= 1/2 × 4a²c × 6ac³

= 2a²c × 6ac³.

= 12a³c⁴

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The stage in Tuckman's Group Development Model in which members are socially cautious and overly polite is the Forming stage. thus option B is the answer.

Tuckman's Group Development Model is a structure for understanding the various stages that gatherings go through as they structure, create, and ultimately disband. The model incorporates four principal stages: forming, storming, norming, and performing with a potential fifth phase of dismissing. The framing stage is portrayed by individuals getting to know one another, being considerate, and attempting to lay out a feeling of direction for the gathering. They might be questionable about the gathering's objectives, jobs, and methodology. As the gathering advances through the stages, they will turn out to be more OK with one another and lay out a feeling of trust and union, prompting better execution.

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a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b. Each persοn wοuld pay $13.84.

The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.

In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.

Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.

a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk

Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99

Subtοtal = $23.45

Tip = 18%×Subtοtal

Tip = 0.18 × $23.45

Tip = $4.22 (rοunded tο the nearest cent)

Tοtal = Subtοtal + Tip

Tοtal = $23.45 + $4.22

Tοtal = $27.67 (rοunded tο the nearest cent)

Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:

$27.67 / 2 = $13.84 (rοunded tο the nearest cent)

Therefοre, each persοn wοuld pay $13.84.

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The total time of the guitar session will be 7¹/₂ hours.

A scatter plot is a plot mathematical chart or graph that depicts the relationships by the use of dots and shows the two numeric variables.

The dots are positioned on each horizontal and vertical value for an individual. They are used for observing the relationship between the variables. The graph shows are positive but nonlinear association.

The total time will be calculated as:-

T = ( 3) x ( 1 / 4 ) + (4) x (1 / 2 ) + ( 5 ) x ( 3 / 4 ) + 1

T = 3/4 + 4 / 2 + 15 / 4 + 1

T = 3 / 4 + 2 + 15 / 4 + 1

T = 18 / 4 + 3

T = 15 / 2

T = 7¹/₂ hours.

Therefore, the total time will be 7¹/₂  hours.

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Answer:

Angle 5 is 105 degrees.

Step-by-step explanation:

[tex]180-75[/tex]

[tex]105[/tex]

Answer:

Below

Step-by-step explanation:

See image.....the perpendicular slope was calculated incorrectly ....

Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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The perimeter and the area for each shape are given below.

For figure (i) there are 11 small square and area of each small square is 1 sq cm.

Area of the given figure =(11×1)cm =11 cm²

Perimeter of the given figure =(18×1)cm=18 cm

For figure (ii) there are 13 and area of each small square is 1 sq cm.

Area of the given figure =(13×1)cm =13 cm²

Perimeter of the given figure =(28×1)cm=28 cm

For figure (iii) there are 13 and area of each small square is 1 sq cm.

Area of the given figure =(13×1)cm =13 cm²

Perimeter of the given figure =(28×1)cm=28 cm.

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