Find the proofs of the rectangle

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

The cost of the fabric needed to make the square table cloth is $3.75

Firstly, it's essential to understand that the cost of the fabric is calculated per square foot. This means that the more square feet of fabric you use, the higher the cost will be. Therefore, the first step is to measure the dimensions of the tablecloth.

For instance, if the tablecloth is 5 feet long and 3 feet wide, the total area would be 15 square feet.

Next, you can multiply the total square footage of the tablecloth by the cost of the fabric per square foot.

In this case, if the cost of the fabric is $0.25 per square foot, the cost of the fabric needed for the tablecloth would be

=> 15 (total square feet) x 0.25 (cost per square foot) = $3.75.

To know more about square here

https://brainly.com/question/17508193

#SPJ4

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

To know more about triangle, visit

brainly.com/question/2773823

#SPJ1

The correct answer is c. Learning curves are important for estimating performance improvement as workers become experienced.

Learning curves are often used in project management to estimating the time, effort, and resources required to complete a task or project. They help to estimate how long it will take for a worker or team to become proficient at a task or process, based on the amount of time and effort that they have put into it.

This can be helpful in estimating performance improvement as workers become more experienced and efficient in their work. The concept of a learning curve is a curved line that represents the rate of improvement over time, which is why the term "curve" is relevant. While learning curves do involve some math, they are not primarily focused on helping new PMs understand required math, nor are they used for visualization of curved mechanical parts or estimating cost improvement as parts become "broken in."
Learning curves are important for:
c. estimating performance improvement as workers become experienced.
Learning curves represent the progress made in a skill or job over time, whereas a curve illustrates the relationship between experience and efficiency. As workers become more experienced, their performance typically improves, which can be estimated using a learning curve in various industries and tasks.

Learn more about Curve:

brainly.com/question/31154149

#SPJ11

Answer:

C is the correct answer

The total number of 5- digit even palindromes present is 400 numbers.

For the stated question-

For example, 23432, 85658,

The number of 5- digit even palindromes are formed as;

4 * 10 * 10 = 400.

Thus, the total number of 5- digit even palindromes present is 400 numbers.

To know more about the palindrome number, here

https://brainly.com/question/15260978

#SPJ4

Andrea earns a total of $48 for washing 6 cars at the rate.

By using the cross multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

Using the cross multiplication method, we may determine the answer to a pair of linear equations. Using the mathematical rule of three, we may determine the answer based on proportions. The best illustration is cross multiplication, where we can write in a proportion to determine the values of unknown variables.

Given that,

$32 = 4 cars

$x = 6 cars

Using the method of cross multiplication:

x = 32(6) / 4

x = $48

Hence, Andrea earns a total of $48 for washing 6 cars at the rate.

Learn more about cross multiplication here:

https://brainly.com/question/11203238

#SPJ1

Answer:

30 stamps each

Step-by-step explanation:

This is the correct question:

Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book

Total stamps = 120 + 60

= 180

Jessica wants to place the stamps equally on 6 pages of a book

how many stamps will be on each page of the book?

Each page of the book = Total stamps / number of pages in the book

= 180 / 6

= 30

Each page of the book will have 30 stamps each

Answer:

-11 is the answer.......

If x is a non-zero rational number and y is an irrational number, then y/x is irrational: TRUE

Assume that y/x is rational.

This means that we can write y/x as a fraction in the form a/b, where a and b are integers and b is non-zero.
y/x = a/b

Multiplying both sides by x, we get:
y = ax/b

Since x is a rational number, it can be expressed as a fraction in the form c/d, where c and d are integers and d is non-zero.
x = c/d

Substituting x with c/d in the above equation, we get:
y = ac/bd

Now, we have expressed y as a fraction, which contradicts the given fact that y is an irrational number. Hence, our assumption that y/x is rational must be false.
Therefore, y/x is irrational.

Know more about irrationality here:

https://brainly.com/question/20400557

#SPJ11

Answer:

C.   1056 ft³

Step-by-step explanation:

V = Bh

V = 96 ft² × 11 ft

V = 1056 ft³

676000 is the required total number of different identification codes.

The total number of possible combinations here is computed as:

= Product of the many ways to select each of the characters

= 262*103 = 676000 is the required number of total ways here.

Note that there are 26 possible ways to select each of the first 2 letters and there are 10 ways to select each of the 3 digits here.

Identification Code is a randomly generated set of alpha-numeric symbols supplied by the Bank at the time the Agreement was executed and used as a personal security measure to identify the Customer in communications between the Bank and the Customer via the Customer Service Desk.

To Learn more about identification code
https://brainly.com/question/9762003
#SPJ4

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

For more details about waiting time

https://brainly.com/question/24168195

#SPJ4

Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.

The nearest integer 136,043 people. To find the total population within a 3-kilometer radius of the city center, we need to integrate the population density function (∂(x, y)) over the circular region with a radius of 3 kilometers.

Given that the population density (∂) is defined as 7000 (x^2 + y^2)^-0.2 people per square kilometer, we can express the population density as a function of the distance from the origin (r).

Let's perform the integration using polar coordinates, where x = rcos(θ) and y = rsin(θ):

∂(r) = 7000\((r^2)^-0.2\)

∂(r) = 7000\(r^(-0.4)\)

Now, we need to integrate this population density function (∂(r)) over the circular region with a radius of 3 kilometers.

To do this, we integrate from 0 to 2π for the angle (θ), and from 0 to 3 kilometers for the radius (r).

Total population = ∫∫R ∂(r) r dr dθ

Total population = ∫[0 to 2π] ∫[0 to 3] 7000 \(r^(-0.4)\) r dr dθ

Simplifying the integral:

Total population = 7000 ∫[0 to 2π] ∫[0 to 3] \(r^(0.6)\) dr dθ

Total population = 7000 ∫[0 to 2π] [(\(r^(1.6)\))/(1.6)]|[0 to 3] dθ

Total population = 7000 \((1.6)^(-1)\)∫[0 to 2π] [(\(3^(1.6))\)/(1.6)] dθ

Total population = (7000/1.6) \((3^(1.6))\) ∫[0 to 2π] dθ

Total population = (7000/1.6) \((3^(1.6)\)) (θ)|[0 to 2π]

Total population = (7000/1.6) (\(3^(1.6)\)) (2π)

Now, let's evaluate this expression:

Total population ≈ (7000/1.6) (\(3^(1.6)\)) (2π)

Total population ≈ 136042.195 people

Rounding up to the nearest integer, the total population within a 3-km radius of the city center is approximately 136,043 people.

Learn more about nearest integer

https://brainly.com/question/29130418

#SPJ4

A mean is an arithmetic average of a set of observations. The mean number of visits the students made to the library in the last month is 2.32 visits.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

For the given frequency table, the sum of the mean and the total number of values can be written as,

Sum = (0×284) + (1×218) + (2×76) + (3×64) + (4×42) + (5×320) = 2330

Total number of values = 284 + 218 + 76 + 64 + 42 + 320 = 1004

The mean for the table can be written as,

Mean = sum/ Total number of values = 2330/1004 = 2.32

Hence, the mean number of visits the students made to the library in the last month is 2.32 visits.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ1

To calculate the standard deviation of the number of defective items, we need to follow some steps. So, the correct answer is: c. 4.39 items.

The following steps are:

Calculate the mean (average) of the data set.

Calculate the deviation of each data point from the mean.

Square each deviation.

Calculate the mean of the squared deviations.

Take the square root of the mean squared deviation to obtain the standard deviation.

Let's perform these calculations:

Number of defective items: 12, 9, 11, 8, 12, 0, 10, 7, 20, 11, 6, 10, 10, 4, 8

Step 1: Calculate the mean:

Mean = (12 + 9 + 11 + 8 + 12 + 0 + 10 + 7 + 20 + 11 + 6 + 10 + 10 + 4 + 8) / 15 = 127 / 15 ≈ 8.47

Step 2: Calculate the deviation of each data point from the mean:

Deviation = each data point - mean

Deviation = 12 - 8.47, 9 - 8.47, 11 - 8.47, 8 - 8.47, 12 - 8.47, 0 - 8.47, 10 - 8.47, 7 - 8.47, 20 - 8.47, 11 - 8.47, 6 - 8.47, 10 - 8.47, 10 - 8.47, 4 - 8.47, 8 - 8.47

Step 3: Square each deviation:

Squared Deviation = Deviation^2

Step 4: Calculate the mean of the squared deviations:

Mean Squared Deviation = (sum of squared deviations) / 15

Step 5: Take the square root of the mean squared deviation to get the standard deviation.

Performing these calculations, the standard deviation of the number of defective items is approximately 4.39 (option C).

Therefore, the correct answer is: c. 4.39 items.

For more questions on: standard deviation

https://brainly.com/question/475676

#SPJ8

Answer:

B (-2,-4)

Step-by-step explanation:

Let coordinates of B be (x,y)

\(( \frac{ - 6+ x}{2} . \frac{4 + y}{2} ) = ( - 4.0) \\ x = 2( - 4) + 6 \\ x = - 2 \\ \\ y = 2(0) - 4 \\ y = - 4\)

Answer:

the volume equals to length x width x height

The probability of a percentage increase in gasoline that is 4% or larger over the next quarter is approximately 25%.

Gasoline exhibits an average quarterly percentage change of 2.84% and a quarterly volatility of 8.22%. To determine the probability of a percentage increase in gasoline that is 4% or larger over the next quarter, we need to consider the distribution of the data.

The average quarterly percentage change of 2.84% provides us with a baseline expectation of how gasoline prices may change over time. However, the quarterly volatility of 8.22% indicates that there is significant variability in these price changes. This volatility suggests that gasoline prices can deviate considerably from the average.

To calculate the probability, we can use the concept of standard deviations. A 4% increase in gasoline prices is equivalent to a change of (4 - 2.84) / 8.22 standard deviations from the mean. By referring to a standard normal distribution table or using statistical software, we can determine the proportion of the distribution that falls above this threshold.

Based on the available information, the probability of a percentage increase in gasoline that is 4% or larger can be estimated to be approximately 25%.

Learn more about probability

brainly.com/question/31828911

#SPJ11

The equation of line passing through the point (4,5) and has a slope of 0 is y = 5

Slope is the ratio of the change in the y-coordinate to the change in the x-coordinate.

It used to know how steep a line is.

Slope can be negative or positive or zero depending on how the line or curve appears.

if the line passes through a point with a slope of 0, it means the line is either vertical or horizontal.

equation of line passing through a point with a slope is

y - \(y_{1}\) / x - \(x_{1}\) = slope

y - 5/x --4 = 0

y - 5/x + 4 = 0

by cross multiplying,

y - 5 = 0( x + 4)

y - 5 = 0

y = 5

In conclusion, the equation of line is y = 5

Learn more about slope: https://brainly.com/question/3493733

#SPJ1

1) The missing angles are;

z = 57°

v = 118°

w = 62°

2) The missing angles are;

b = f = g = 24°

a = e = 132°

c = d = 180° - 24°

h = i = 156°

G = 48°

1) Using concept of supplementary angles, we can say that;

z = 180 - 123

z = 57°

Similarly;

v = 180 - 62

v = 118°

Using the concept of alternate angles, we can say that;

w = 62°

We know that sum of angles in a straight line is 180°. Thus;

x = 180 - 57 - 62

x = 61°

2) Using the concept of isosceles triangles, we can say that;

b = f = g = 24°

Thus;

a = e = 180 - (24 + 24)

a = e = 132°

Also;

c = d = 180° - 24°

h = i = 156°

G = 180 - 132

G = 48°

Read more about missing angles at; https://brainly.com/question/28293784

#SPJ1

Answer:

1. Width = x + 2

2. Length = 12; width = 9

3. x² + 7x + 10

4. 108

Step-by-step explanation:

perimeter = 4x + 14

length = x + 5

1. Perimeter of a rectangle = 2(length + width)

4x + 14 = 2{(x + 5) + width}

4x + 14 = 2x + 10 + 2width

4x + 14 - 2x - 10 = 2width

2x + 4 = 2width

Width = (2x + 4)/2

Width = x + 2

2. Perimeter of a rectangle = 2(length + width)

42 = 2{(x + 5) + (x + 2)}

42 = 2x + 10 + 2x + 4

42 = 4x + 14

42 - 14 = 4x

28 = 4x

x = 28/4

x = 7

length = x + 5

= 7 + 5

= 12

Width = x + 2

= 7 + 2

= 9

3. Area of the rectangle = length × width

= (x + 5)(x + 2)

= x² + 2x + 5x + 10

= x² + 7x + 10

4. Area of the rectangle = x² + 7x + 10

When x = 7

x² + 7x + 10

= 7² + 7(7) + 10

= 49 + 49 + 10

= 108

For the 1st equation,

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

\(P(x) = 2x^3 - 8x^2 + 6x\)

Step-by-step explanation:

Given

\(p =2\) -- Leading coefficient

\(Zeros: 0, 1\ and\ 3\)

Required

Determine the polynomial

Represent the zeros with a, b and c.

Such that

\(a = 0\)

\(b = 1\)

\(c = 3\)

The polynomial is:

\(P(x) = p * (x - a) * (x - b) * (x - c)\)

\(P(x) = 2 * (x - 0) * (x - 1) * (x - 3)\)

\(P(x) = 2x * (x - 1) * (x - 3)\)

Open bracket

\(P(x) = (2x^2 - 2x) * (x - 3)\)

\(P(x) = 2x^3 - 6x^2 - 2x^2 + 6x\)

\(P(x) = 2x^3 - 8x^2 + 6x\)

Answer:

C≈37.7m

Step-by-step explanation:

C=πd=π·12≈37.69911m

At the base of the corporate social responsibility pyramid is economic responsibility. This refers to the organization's duty to generate profits, provide goods and services, and contribute to economic growth.

The base of the corporate social responsibility (CSR) pyramid is economic responsibility. This means that businesses have a fundamental obligation to be financially viable and generate profits. Economic responsibility involves activities such as creating products and services that meet customer needs, effectively managing resources and costs, and contributing to economic growth.

It is crucial because a company's financial stability enables it to fulfill its other responsibilities, such as ethical, legal, and philanthropic obligations. Without profitability, a business may struggle to invest in sustainable practices, support social causes, or adhere to ethical standards.

Additionally, financial success allows companies to provide employment opportunities, stimulate economic development, and contribute to the well-being of stakeholders. Therefore, economic responsibility serves as the foundation for organizations to fulfill their broader social and environmental commitments.

To know more about corporate social responsibility visit:

https://brainly.com/question/1373962

#SPJ11