If the circumference of a circle is 10pi inches what is the area, in square inches of the circle?
A 10pi
B 25pi
C 50pi
D 100pi

Answer:

The answer is (50,-20)

Step-by-step explanation:

In x axis, c is halfway so 100 divided by 2 is 50.

In y axis, c is halfway -40 so it has to be -20.

So the answer is (50,-20).

The coordinates of C are (50, 10)

For two points \((x_1,y_1),(x_2,y_2)\) the midpoint is,

\((x_m,y_m)=(\frac{(x_1+x_2)}{2} ,\frac{(y_1+y_2)}{2} )\)

For given example,

C is an equal distance to A and B.

This means the point C is the midpoint.

The coordinates of the points A and B are,

A = (20, 0) and B = (100, 0)

Using the midpoint formula,

\(\Rightarrow C=(\frac{0+100}{2}, \frac{20+0}{2} )\\\\\Rightarrow C=(\frac{100}{2}, \frac{20}{2} )\\\\\Rightarrow \bold{C = (50, 10)}\)

Therefore, the coordinates of C are (50, 10)

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

f(x) is shrinked

Step-by-step explanation:

Given

\(f(x) = 4^x\)

\(g\left(x\right)=\frac{1}{3}\cdot4^x\)

Required

The effect of dilation on f(x)

From the given parameters, we have:

\(f(x) = 4^x\)

\(g\left(x\right)=\frac{1}{3}\cdot4^x\)

On a general term;

\(g(x) = k * f(x)\)

So by comparison:

\(k = \frac{1}{3}\)

When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink

Answer:

Place compass point on the vertex of the angle (point B).

Stretch the compass to any length that will stay ON the angle.

Swing an arc so the pencil crosses both sides (rays) of the given angle.

Place the compass point on one of these new intersection points on the sides of the angle.

The standard deviation of the monthly amount charged is 346.41

Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.

Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:

a = 300

b = 1500

Step 2: Calculate the variance using the formula Var(x) = \(\frac{(b-a)^{2} }{12}\)

Using the formula for the variance and the values identified in step 1

(a = 300 , b = 1500), we have:

Var(x) = \(\frac{(b-a)^{2} }{12}\)

         = \(\frac{(1500 - 300)^{2} }{12}\)

         = 1440000/12

         = 120,000

the variance is 120,000

Step 3: Calculate the standard deviation by taking the square root of the variance. σ = \(\sqrt{Var(x)}\)

The standard deviation is the square root of the result from step 2 (variance = 120,000)

σ = \(\sqrt{Var(x)}\)

σ = \(\sqrt{120000}\)

   = 346.41

The standard deviation of the monthly amount charged is 346.41

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To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

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Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

\(35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}\)

__________________

__________________

Hope it'll help you ッ

ℓucαzz

Answer:

2 units!

Step-by-step explanation:

Answer: 2 units

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Answer:

so you answered your own question?

Answer:

x=6

look at the picture i sent please

The volume of the pyramid is 400 cubic units.

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

Let's call the height of the pyramid "h".

We can use the Pythagorean theorem to find the slant height of the pyramid, which is the length of one of the edges from the apex to a corner of the base.

To do this, we can consider one of the right triangles formed by the apex, the midpoint of a side, and a corner of the base.

The hypotenuse of this right triangle is the segment connecting the apex to the midpoint of a side, which has a length of 13 units.

One leg of the right triangle is half of one side of the square base, which is 5 units.

The other leg of the right triangle is the height of the pyramid, which we want to find. So, we can write:

h² + 5² = 13²

Simplifying and solving for h, we get:

h²= 13² - 5²

h² = 169 - 25

h² = 144

h = 12

So, the height of the pyramid is 12 units.

To find the volume of the pyramid, we can use the formula:

Volume = (1/3) x Base Area x Height

The base of the pyramid is a square with sides of length 10 units, so its area is:

Base Area = 10² = 100 square units

Plugging in the values we know, we get:

Volume = (1/3) x 100 x 12

Volume = 400 cubic units

Therefore,

The volume of the pyramid is 400 cubic units.

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Answer:

Right triangle

Step-by-step explanation:

90 degrees means that it's a right angle

Answer:

Acute triangle

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The ratio is set as boys to girls in the classroom. For every 3 boys, there are 2 girls in the classroom. This does not mean that there are only 5 people in the class.

The residual for the amount of monthly interest paid on a loan after 30 months is $0.13.

To find the residual, we need to compare the actual value of monthly interest paid after 30 months with the predicted value based on the regression equation.

The regression equation is:

monthly interest = 968 - 3.34x

To find the predicted value for 30 months, we substitute x = 30 into the equation:

monthly interest = 968 - 3.34(30) = 865.8

So the predicted value for monthly interest after 30 months is $865.8.

The residual is the discrepancy between the actual and expected values:

residual = actual value - predicted value

residual = $865.93 - $865.8 = $0.13

Therefore, the residual for the amount of monthly interest paid on a loan after 30 months is $0.13.

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Answer:

They represent something in the real word or an unknown.

Answer:

They represent something in the real word or an unknown.

Step-by-step explanation:

 The total equity for Wonderpillow is £193,110.

Equity represents the residual interest in the assets of a business after deducting liabilities. To calculate the total equity, we need to subtract the total liabilities from the total assets.

Given:

Long-term liabilities = £100,000

Non-current assets = £289,770

Current assets = £124,400

Current liabilities - current assets = £3,340

First, we calculate the total liabilities:

Total liabilities = Long-term liabilities + (Current liabilities - current assets)

Total liabilities = £100,000 + (£3,340)

Total liabilities = £103,340

Next, we calculate the total equity:

Total equity = Total assets - Total liabilities

Total equity = Non-current assets + Current assets - Total liabilities

Total equity = £289,770 + £124,400 - £103,340

Total equity = £310,830 - £103,340

Total equity = £207,490

Therefore, the correct answer is not listed among the options provided. The total equity for Wonderpillow is £207,490, which is not included in the given choices

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Answer: b= 45

Step-by-step explanation:

Step 1: Subtract 5b from both sides.

2b+23−5b=5b−112−5b

−3b+23=−112

Step 2: Subtract 23 from both sides.

−3b+23−23=−112−23

−3b=−135

Step 3: Divide both sides by -3.

−3b /-3 = -135/-3

Answer:

I used math-way, solved for x and got this

x>1

Step-by-step explanation:

Applying the centroid theorem and assuming point C is the centroid of the triangle: x ≈ 4.1; AC = 9.1; AE = 13.5; CE = 4.4.

You can solve for the value of x using the centroid theorem assuming that point C in the given triangle is the centroid. Therefore, the equation we would create to find the value of x based on the centroid theorem is:

AC = 2/3(AE)

Substitute the values into the equation, we will have:

x + 5 = 2/3(5x - 7)

Solve for x:

(x + 5)3 = 2(5x - 7) [multiplication property of equality]

3x + 15 = 10x - 14

-7x = -29 [subtraction property of equality]

x ≈ 4.1

Find each measure by plugging in the value of x:

AC = x + 5 = 4.1 + 5 = 9.1

AE = 5x - 7 = 5(4.1) - 7 = 13.5

CE = AE - AC

CE = 13.5 - 9.1 = 4.4

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Answer:

205,000

Step-by-step explanation:

(100,000*0.05) *21 +100,000

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

(x,y)=(3,5)

Step-by-step explanation:

Answer:

x = 3

y = 5

Step-by-step explanation:

*tip = chose a variable and get by itself one side and then plug it into the other equation

3x + y = 14

y = -3x + 14

2x - 6(-3x + 14) = -24

2x + 18x - 84 = -24

20x = 60

x = 3

3(3) + y = 14

9 + y = 14

y = 5

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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Answer:

What do you want done with the points?

Step-by-step explanation:

Answer: $17.82

Step-by-step explanation: Add each item up to get $19.80. Then you take 10% of that by multiplying it 0.9 to get 17.82. You multiply it by 0.9 because that is 90% of 19.80 which is a 10% decrease.

The Stokes approximation and Oseen approximation are methods used to determine the motion of fluid particles in a fluid dynamics problem.

The Stokes approximation applies to slow-moving fluid particles, where viscous forces are dominant, while the Oseen approximation applies to higher velocities, where convective forces are dominant..Oseen approximation: In this approximation, the equations governing the motion of fluid particles account for the convective forces in addition to the viscous forces.

This approximation is valid at moderate Reynolds numbers and is used when the viscous forces are still strong but not as dominant as in the Stokes approximation. The velocity of the fluid decreases less rapidly than in the Stokes approximation, and the approximation is valid for Reynolds numbers greater than one .The difference between the results of the two approximations lies in their range of applicability and the accuracy of their results.

The significance of the difference between the two approximations lies in their application to real-world problems. In fluid dynamics, it is essential to have accurate approximations to predict the behavior of fluid particles accurately. Therefore, choosing the appropriate approximation for the specific problem is critical. knowing the range of applicability of each approximation can help in determining the parameters for the problem.

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the smallest composite number that can be written as a product of four different prime numbers is 6