The value of y varies directly with x

The area of the bedroom in the terms of p and q is (6p7q)² square units.

What is the area of square?

The amount of square units required to fill a square is referred to as the area of a square. In general, the region contained within a flat object's or 2D figure's boundary is referred to as the area. The unit of measurement is square, with square metres serving as the default.

We are given that a bedroom is in the shape of a square with the length as 6p7q.

We know that area of a square is the square of the side.

So, from this we get

⇒ Area = (6p7q)² square units

Hence, the area of the bedroom in the terms of p and q is (6p7q)² square units.

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Therefore , the solution of the given problem of unitary method comes out to be hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

This common convenience, already-existing variables, or all important elements from the original Diocesan adaptable study that followed a particular methodology can all be used to achieve the goal. Both of the crucial elements of a term affirmation outcome will surely be missed if it doesn't happen, but if it does, there will be another chance to get in touch with the entity.

Here,

The formula below can be used to determine the ideal amount of phone representatives:

=>  MR = MC

Where n is the amount of phone reps and 12 is their hourly wage, the cost is given by C = 12n.

The following results are obtained by taking the derivative of revenue and cost with regard to n:

=> MR=dR/dn = k

=>  dC/dn = 12 for MC.

When we set MR equal to MC, we obtain:

=> k = 12

Accordingly, Vi should hire as many phone representatives as are required to produce an hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.

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The maximum amount of §179 expense TDW may deduct for 2022 is $257,000.

To determine the maximum amount of §179 expense that TDW Corporation can deduct for 2022, we first Add up the cost of all the assets acquired in 2022:

$2,270,000 (machinery) + $263,000 (computer equipment) + $880,000 (furniture) = $3,413,000

Now we determine the amount of the §179 deduction limit for the tax year.

For tax year 2022, the §179 deduction limit is $1,050,000.

Check if the cost of the assets exceeds the §179 deduction limit.

Since the cost of the assets ($3,413,000) is greater than the §179 deduction limit ($1,050,000), we need to calculate the phase-out limit.

Now we determine the phase-out limit.

For tax year 2022, the phase-out limit is $2,620,000.

Calculate the §179 expense deduction.

Since the cost of the assets ($3,413,000) is greater than the phase-out limit ($2,620,000), we need to reduce the §179 deduction by the excess over the phase-out limit.

The excess over the phase-out limit is $793,000 ($3,413,000 - $2,620,000).

The §179 expense deduction is the lesser of the §179 deduction limit and the cost of the assets reduced by the excess over the phase-out limit.

The §179 expense deduction is $1,050,000 - $793,000 = $257,000.

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As per the fundamental counting principle, the total number of possible outcomes is 24.

To use the fundamental counting principle, we need to first identify the number of choices available for each option. In this case, we have 3 types of shoes, 4 colors, and 2 width options. So, the number of choices for each option is:

3 types of shoes

4 colors

2 width options

To determine the total number of possible outcomes, we multiply the number of choices for each option. This gives us:

Total number of possible outcomes = number of choices for type of shoe x number of choices for color x number of choices for width

= 3 x 4 x 2

= 24

Therefore, there are 24 possible shoe combinations that can be created from the given options.

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Answer:

The balanced equation that represents an endothermic reaction is:

2 CH4 (g) + 2 O2 (g) → 2 CO2 (g) + 2 H2O (g)

This is because the reactants (CH4 and O2) have a higher bond energy than the products (CO2 and H2O), meaning that energy must be absorbed in order to break the bonds and form the products. As a result, the reaction is endothermic.

Answer:270

Step-by-step explanation: 3pm + 12am = 15am

15 am - 10:26 pm = 4 hours 34 minutes

4 hours 34 minutes = 4x60 +30 mins = 270 mins

The conclusion of the test is the calculated z-test value of -1.5 falls within the acceptable limits of +/- 2 sigma.

To interpret the results of the run test, we need to compare the calculated z-test value with the acceptable limits for the test. The acceptable limits for the run test are +/- 2 sigma, which means that the process is considered acceptable if the z-test value falls within this range.

Since the z-value of -1.5 falls within the acceptable limits of +/- 2 sigma, we can conclude that the process is acceptable according to the run test. This means that there is no evidence of non-randomness or nonconformity in the process, and the process is functioning as expected.

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According to the question, the exact value of side x in the Trina are  34.641016151377546in.

Value is an intangible concept that refers to the worth of something, whether it is tangible or intangible. It is based on the perceived benefits and costs associated with the thing in question. Value can be subjective, as different people may place different worth on the same item. Value can also be objective, as there may be a set market price for a certain item.

The exact value of side x in the triangle can be determined by using the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides of a triangle.

Therefore, we can set up the following equation:

(20in/sin30°) = (x/sin60°)

Solving for x, we get:

x = 20in×(sin60°/sin30°)

x = 20in×(√(3)/1)

x = 20in×√(3)

x = 34.641016151377546in

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The exact value of side x in the Trina, according to the question, is 34.641016151377546in.

Where you cannot predict the value, you must be specific. An exact number is a value that can be determined with absolute precision. Counted quantities of objects or sure unit conversions are examples of exact numbers.

The term "approximate number" refers to a number that is close to the precise number, and there is always a difference among exact and approximate numbers. For instance, are exact integers because no approximation is required.

As a result, we can construct the following equation:

(20in/sin30°) = (x/sin60°)

Solving for x, we get:

x = 20in×(sin60°/sin30°)

Simplify the above equation,

x = 20in×(√(3)/1)

x = 20in×√(3)

The value of x is,

x = 34.641016151377546in

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The complete question is,

What is the exact value of side x in the Trina for below? 20in 30 degree and X? Determine the exact value of side x.

This equation fits the given data: Oy = -2x + 10. The equation creates a linear relationship between the x and y values, with each x value increasing by 1 resulting in a decrease in the y value by 2.

Linear refers to a type of relationship between two or more variables. It is a straight line relationship where the output is directly proportional to the input. Linear relationships can be observed in the natural world such as in the relationship between distance and time. They can also be observed in mathematical equations and models, where the output is directly related to the input. Linear relationships are also used to represent real-world problems in the form of linear equations and models.

The equation satisfies the data points, as plugging in each x value will result in the corresponding y value. For example, when x = 0, the equation produces y = 10, which is the given data point. Similarly, when x = 2, the equation produces y = 6, which is also the given data point.

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This equation fits the given data: y = 1/3x + 2. The equation creates a linear relationship between the x and y values. Hence the correct option is b.

Linear refers to a type of relationship between two or more variables. It is a straight line relationship where the output is directly proportional to the input. Linear relationships can be observed in the natural world such as in the relationship between distance and time. They can also be observed in mathematical equations and models, where the output is directly related to the input. Linear relationships are also used to represent real-world problems in the form of linear equations and models.

The equation satisfies the data points, as plugging in each x value will result in the corresponding y value. For example, when x = 0, the equation produces y = 10, which is the given data point. Similarly, when x = 2, the equation produces y = 6, which is also the given data point.

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We can see that this corresponds to the point (4, 10). Therefore, there were 4 people in the group that popped 10 balloons.

Correlation refers to the relationship between two variables in a dataset. It is a statistical measure that quantifies the degree to which two variables are related to each other.

There are two types of correlation: positive and negative. Positive correlation exists when the two variables move in the same direction, meaning that as one variable increases, the other variable also increases. Negative correlation exists when the two variables move in opposite directions, meaning that as one variable increases, the other variable decreases.

The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to +1. A correlation coefficient of +1 indicates a perfect positive correlation, while a correlation coefficient of -1 indicates a perfect negative correlation. A correlation coefficient of 0 indicates no correlation between the two variables.

From the given graph, we can see that there is a positive correlation between the number of people in a group and the total number of balloons they pop. As the number of people in the group increases, the total number of balloons they pop also tends to increase.

We are asked to find the number of people in the group that popped 10 balloons. From the graph, we can see that this corresponds to the point (4, 10). Therefore, there were 4 people in the group that popped 10 balloons.

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The height is either 10 cm,12 cm,14 cm.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The base of the parallelogram has a length of 10 cm.

Here, area is not given so the height may be anything.

suppose h = 10

Hence, We get;

Area = base * height

      = 10 * 10

       = 100 cm²

if h = 12

area = 10 * 12

       = 120 cm²

if h = 14

area = 10 * 14

        = 140 cm²

Therefore, the height is either 10 cm,12 cm,14 cm.

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1. There are 4194304 ways to choose the two pizzas

2. Ways to make one pizza with up to five topping is 1023

3. There is only one way to build the two pizzas.

4. Combinations = 523,503

5. The total number of ways to make two pizzas are 523,504

6. The same value that the boy claims in the advertisement.

A subfield of statistics known as probability studies random events and their likelihood of happening.

1. There are 11 toppings and each topping can be either included or excluded from a pizza, there are 2 choices for each topping. Therefore, there are 2^11 = 2048 ways to make one pizza. For two pizzas, there are 2048*2048 = 4194304 ways to choose the two pizzas.

2. For one pizza with up to five toppings, we can use combinations to determine the number of ways to choose toppings. Since we have 11 toppings to choose from and can choose up to 5, the number of ways to choose is:

C(11, 1) + C(11, 2) + C(11, 3) + C(11, 4) + C(11, 5) = 11 + 55 + 165 + 330 + 462 = 1023

3. If the two pizzas are identical, there is only one way to build the two pizzas.

4. If the two pizzas are different, we need to choose 2 of the 1023 possibilities from problem 2. Since order doesn't matter, we use combinations, and the number of ways to choose is:

C(1023, 2) = 523,503

5. The total number of ways to make two pizzas with up to five toppings each is the sum of the answers from problems 3 and 4:

1 + 523,503 = 523,504

6. The number 10242 is equal to 1,048,576. This is the same value that the boy claims in the advertisement. Therefore, the boy's claim is valid only if the pizzas can have up to 11 toppings each, not up to 5 as advertised.

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Jabu's Monthly salary is of R27500.00, with an increase of R1 746.25 per month. Jabu's monthly increase is R1 746.25. The correct answer is option 3.

To find Jabu's previous monthly salary, we can use the formula:

Previous monthly salary = (Annual salary / 12)

Since Jabu's new annual salary is R330 000, his previous annual salary would be:

Previous annual salary = (New annual salary / 1.0635) = (R330 000 / 1.0635) = R310 020.10

Therefore, Jabu's previous monthly salary would be:

Previous monthly salary = (Previous annual salary / 12) = (R310 020.10 / 12) = R25 835.01

To find the monthly increase, we can subtract Jabu's previous monthly salary from his new monthly salary:

Monthly increase = (New monthly salary - Previous monthly salary) = (R27 618.38 - R25 835.01) = R1 783.37

Therefore, Jabu's monthly increase is R1 746.25 (rounded to the nearest cent).

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The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. If the total charge for a ride is $27.00, the distance traveled, in miles is 9.

  The data given in the question is, The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. The total charge for a ride is $27.00.

   Let's calculate the distance traveled:

                  Let d be the distance traveled. The given data in the problem is in dollars and cents. Therefore, let's first change it to the same units (cents). We know that 1 dollar is equal to 100 cents. Thus $27.00 is equal to 27 * 100 cents.

    Therefore, $27.00 is equal to 2700 cents.

     Now, we know that the driver charges $3.00 as an initial fare.

                    So, he charged 300 cents. Therefore, the remaining amount of money he charged for the distance is (2700 - 300) cents.

      Hence, he charged 2400 cents for the distance traveled. The driver charges $0.40 for each 1/5 of a mile. That is 40 cents for each 1.2 km.

     Therefore, he charges 200 cents for each 1.2 km of distance traveled.

      Hence, he charges (2400/200) * 1.2 km of distance traveled.

       Therefore, the distance traveled is 14.4 km or 9 miles. Accordingly, the distance traveled, in miles, is 9.

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a continuous random variable x is normally distributed with a mean of 0 and a standard deviation of 1. the probability of an observation that lies within the range of -1.0 < x <1.0 is 0.6827.

       The explanation for normal distribution is described by two parameters, the mean (μ) and the standard deviation (σ).

         A continuous random variable X that is normally distributed has the probability density function, (X is a normally distributed variable):

                   f(x)=1σ√2π×e−12((x−μσ)2)

        A normal distribution with a mean of 0 and standard deviation of 1 is called standard normal distribution or Z-distribution. The probability for the standard normal distribution can be found using the standard normal distribution table.

   In this case, we have a continuous random variable x which is normally distributed with a mean of 0 and a standard deviation of 1. We are asked to find the probability of an observation that lies within the range of -1.0 < x < 1.0.

  In other words, we want to find: P(-1.0 < x < 1.0)

  To do this, we need to transform the interval (-1.0, 1.0) to a standard normal distribution as follows:

             Z=(X−μ)/σ = (X−0)/1

                              = X

   Next, we use a standard normal distribution table to find the probability for Z as follows:

             P(-1.0 < x < 1.0) = P(-1 < Z < 1)

                                      = P(Z < 1) - P(Z < -1)

    From the standard normal distribution table,

    We have P(Z < 1) = 0.8413 and

                   P(Z < -1) = 0.1587

   Therefore: P(-1.0 < x < 1.0) = 0.8413 - 0.1587

                                               = 0.6827

   Thus, the probability of an observation that lies within the range of -1.0 < x < 1.0 is 0.6827.

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Answer:

Step-by-step explanation:

820-380=440

440:44=10

10!

Answer:

10 months

Step-by-step explanation:

820-380=440then divuse the cost 44 so 440/44 to get 10 months

Point A is three units left and three units up from the origin, so its coordinates are (-3, 3). Therefore, the correct answer is option 2) (-3, 3).

The topic of coordinate geometry involves the use of the Cartesian plane, also known as the coordinate plane or xy-plane, to graph and analyze relationships between points, lines, and shapes. The plane consists of two perpendicular number lines called the x-axis and the y-axis.

The origin, denoted by the point (0, 0), is the point where the two axes intersect. Points on the plane are represented by ordered pairs of numbers (x, y), where x is the distance from the y-axis and y is the distance from the x-axis. Lines on the plane can be represented by their slope and y-intercept, while shapes like circles, rectangles, and triangles can be graphed and analyzed using their respective formulas.

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Answer: (−3, −3)

Step-by-step explanation:

Each pack should weigh 11.5 oz when the seeds are redistributed equally.

Since Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same, he needs to find the common weight of all the packs. To do this, he can find the total weight of all the packs and divide it by the number of packs.

Using the line plot, we can see that the weights of the 8 packs are:

12 oz

8 oz

10 oz

10 oz

12 oz

14 oz

10 oz

16 oz

To find the total weight of all the packs, we can add these weights together:

12 + 8 + 10 + 10 + 12 + 14 + 10 + 16 = 92 oz

So the total weight of all the packs is 92 oz.

To find the weight of each pack, we need to divide the total weight by the number of packs:

92 ÷ 8 = 11.5 oz

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Answer:

17.8

Step-by-step explanation:

a^2+b^2=c^2

To find the distance between Tallahassee and Miami we need to find the distance from...

(10,17) and (10,3)

as well as (10,3) and (21,3)

The distance from the point (10,17) to (10,3) is the difference in y or 17-3, which gives you 14

The distance from the point (10,3) to (21,3) is the difference in x or 21-10, which gives you 11

Now you can plug in the values in the pythagorean theorem like so:

14^2+11^2=c^2

196+121=c^2

317=c^2

Square root both sides

The sqrt of 317 is approximately 17.804, rounding to 17.8 to the nearest tenths place.

A shape's perimeter is calculated by adding the lengths of all of its sides and edges. The V's direction is [tex](-5, -12)[/tex]  .

The complete length of a shape's boundary is referred to as the perimeter in geometry. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

We need to know the lengths of all the sides of Fard ZH in order to calculate its perimeter. We can see from the diagram that  [tex]ZF = ZD + DF = 24 + 28 = 52[/tex]  and [tex]FH = ZG = 30 and ZH = 36.[/tex]

As a result, Fard ZH's perimeter is as follows:

perimeter = [tex]= ZF + FH + ZH + ZG[/tex]

perimeter  [tex]= 52 + 30 + 36 + 30[/tex]

perimeter  [tex]= 148[/tex]

So the perimeter of Fard ZH is [tex]148[/tex]  .

(3) The vector that connects points A and B must be identified in order to determine the direction of V, and it can be written as follows:

[tex]V = (xB - xA, yB - yA)[/tex]

Where xA and yA represent point A's x and y coordinates, and xB and yB represent point B's x and y coordinates.

Plugging in the given values, we get:

[tex]V = (5 - 10, 2 - 14)[/tex]

[tex]V = (-5, -12)[/tex]

Therefore, The V's direction is [tex](-5, -12)[/tex] .

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The answer is in numerator = 3 and denominator = 5

Numbers are present in every part οf οur everyday lives, including the number οf laps we cοmplete οn the racetrack, the number οf hοurs we sleep at night, and many οther things.

In math, a number can be even, οdd, prime, cοmpοsite, decimal, fractiοnal, ratiοnal, irratiοnal, natural, integer, real, whοle, οr any cοmbinatiοn οf these.

Numbers are the basis οf mathematics

We must learn abοut numbers if we are tο understand math.

There are many different kinds οf numbers.

There is a lengthy list that includes whοle numbers, οrdinal numbers, οrdinal numbers, natural numbers, οdd numbers, even numbers, cοnsecutive numbers, and sο οn.

3*3 = 9

5*4=20

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Answer:

Step-by-step explanation:

The total revenue from selling 300 tickets for £5 each is:

300 x £5 = £1500

The profit will be the difference between the total revenue and the cost of prizes:

£1500 - £400 = £1100

The amount of profit that goes to Charity A is:

55% x £1100 = £605

The amount of profit that goes to Charity B is:

45% x £1100 = £495

Therefore, Charity A receives £605 and Charity B receives £495.

The value of the determinants of the matrix | 5 3 | |7 9 | is 24

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns which is used to represent a mathematical object or a property of such an object.

Also, It provides two benefits: compact notation for describing sets of data and sets of equations as well as efficient methods for manipulating sets of data and solving sets of equations.

For the given matrix, the determinant Det is:

Det = (5*9) - (7*3)

So, we have

det. = 45 - 21

Evaluate the difference

det = 24

herefore the determinant is equal to 24

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To increase £88 by 14%, we can use the multiplication method, which involves multiplying the original amount by the decimal equivalent of the percentage increase.

The multiplication method is a mathematical technique used to solve problems involving multiplication. It involves breaking down numbers into their constituent parts and then multiplying those parts together to arrive at the final answer.

To find the decimal equivalent of 14%, we divide the percentage by 100:

14% ÷ 100 = 0.14

This tells us that a 14% increase is equivalent to multiplying the original amount by 1.14 (1 + 0.14).

To increase £88 by 14%, we can multiply it by 1.14:

£88 x 1.14 = £100.32

Therefore, the increased amount is £100.32.

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Professor Salton's measure for work is the number of hours worked for a non-academic job, as reported by respondents in his survey.

This measure is a simple but effective way to gain an understanding of how work can impact a student's academic studies. It provides a direct measure of the amount of time that students spend working outside their academic pursuits, and can be used to quantify the potential effects of working on their educational success.

By taking this measure, Professor Salton has provided an effective way of analyzing the relationship between work and study. It allows researchers to determine whether working has an impact on student performance and academic outcomes. It also allows researchers to investigate whether certain types of work, such as part-time or full-time employment, have more of an impact than others.

Ultimately, this measure is an invaluable tool for researchers to gain a better understanding of the effects of work on student success.

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After solving the given equation, the value of variable a is 6.81 respectively.

Every equation is a formula.

Not all equations have formulas. It is the purpose of equations to be solved for a variable.

We analyze formulas.

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.

2/3a  -7 + 7/18a - 5 1/6 = 0

2/3a + 7/18a = 7 + 6/31

12a+7a/18 = 7+6/31

19a/18 = 7+6/31

19a = (7+6/31)18

19a = (217+6/31)18

19a = (223/31)18

19a = 4,014/31

a = 4014/31*19

a = 4014/589

a = 6.81

Therefore, after solving the given equation, the value of variable a is 6.81 respectively.

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Complete question:

Solve the given equation: 2/3a  -7 + 7/18a - 5 1/6 = 0

The percentage change in the birth rate of a nation from 1990 to 2000 is -35%.

Percentage change is the relative difference between two values expressed as a percentage of one of the values, where the value of the latter is used as the reference point.

It can be calculated by using the following formula:

Percentage change = ((new value - old value) / old value) x 100

Given the birth rate of a nation in 1990 as 20 and the birth rate in 2000 as 13, the percentage change can be calculated as follows: Percentage change = ((13 - 20) / 20) x 100= (-7 / 20) x 100= -0.35 x 100= -35%

Hence, the percentage change is -35%.

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7.11 [tex]cm^{2}[/tex] is the area of the darkened area, or 57 - (5/12). (rounded to two decimal places)

A circle in geometry is a closed object made up of all points in a plane that are equally spaced out from a specific point known as the centre. The diameter of a circle is the distance through its centre; the radius is the distance from any point on the circle to that point. Any three locations that are located on a circle can be used to describe it, in addition to its centre point and radius. A circle's circumference, also known as its perimeter, can be calculated using the formula C = 2r, where r denotes the radius and is a mathematical constant roughly equivalent to 3.14. The equation A = r2 determines the area of a circle.

given

We must deduct the area of triangle OAB (the sector) from the area of trapezium ABCD in order to determine the area of the shaded zone formed by points ABDC inside circle sector OAB.

Finding the sector's area is the first step. The sector's central angle is 75 degrees, or (75/360) of the complete circle. Hence, this is the sector's geographic scope:

(75/360)r2, where r is the circle's radius.

Inputting r=4cm results in:

(75/360)π(4)² = (5/12)π cm²

The area of the trapezium must then be located. Finding the height of the trapezium, which is the separation between lines AB and CD, is necessary to do this.

Using the Pythagorean Theorem, the following can be discovered:

h² = (OA)² - (CA) (CA) ²

h² = 4² - 3²

h = √7 cm

The trapezoid's surface area is:

(1/2)(AB+CD)

h = (1/2)(6+4)

(√7) = 5√7 cm²

Lastly, we can calculate the area of the darkened area by deducting the sector's area from the trapezoid's area:

7.11 [tex]cm^{2}[/tex] is the area of the darkened area, or 57 - (5/12). (rounded to two decimal places) .

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Answer:

The density of the wood is 0.6 g/cm^3

Step-by-step explanation:

The density of an object can be calculated by dividing the mass of the object by its volume. In this case, the mass of the block of wood is 120g and its volume is 200cm^3.

Density = mass / volume

Density = 120g / 200cm^3

Density = 0.6 g/cm^3

Therefore, the density of the wood is 0.6 g/cm^3.