Which explanation can be used to derive the formula for the circumference of a circle?.

Answers

Answer 1

The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

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Related Questions

Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year

Answers

Answer:

The correct answer is $75,900.

Step-by-step explanation:

-) The Student Council is organizing a field trip to a skating rink for 50 students. They

pay the rink $475 to cover the rental fees for one pair of skates and one locker for

each student. The rental fee for one pair of skates is $6.

4) Which quantity is unknown?

) the rental fee for a locker

) Letr equal the rental fee for one locker. Write an equation that

represents the situation.

Answers

The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475

To write an equation that represents the situation, you can use the information given in the problem. The total cost of the field trip, $475, covers the rental fees for 50 students, and the rental fee for one pair of skates is $6. Since the cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student, you can write an equation as follows:

50 * ($6 + r) = $475

This equation represents the situation in which the Student Council is organizing a field trip for 50 students, and the total cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student. The unknown quantity, "r", represents the rental fee for one locker.

Therefore, The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475

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what is the answer for 1/5 (3x + 4) = 3

Answers

Answer:

11/3

Step-by-step explanation:

3x+4=15

3x=11

x=11/3

The EPV of a life annuity due (one payment per year) for someone aged x is ax =12.32. The survival probability is px =0.986, and the rate of interest effective per year is 4%. What is ax+1?

Answers

The EPV of a life annuity due for someone aged x+1 ≈ 0.1797.

To calculate the EPV (Expected Present Value) of a life annuity due for someone aged x+1, we can use the formula:

ax+1 = ax * (1 - px) * (1 + i)

Where:

ax is the EPV of a life annuity due for someone aged x

px is the survival probability for someone aged x

i is the effective interest rate per year

We have:

ax = 12.32

px = 0.986

i = 4% = 0.04

Substituting the provided values into the formula, we have:

ax+1 = 12.32 * (1 - 0.986) * (1 + 0.04)

ax+1 = 12.32 * (0.014) * (1.04)

ax+1 = 0.172 * 1.04

ax+1 ≈ 0.1797

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If you place a 34-foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

59

Step-by-step explanation:

Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!

The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.

Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.

The height of the building is the opposite side of the triangle. Therefore,

c² = a² + b²

34² - 25² = b²

b = √1156 - 625

b = √531

b = 23.0434372436

b = 23.0

The height of the building is 23.0 feet.

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Find the correct linear equation: y is the quotient of thrice a number and ten.
y = 10 + 3x
y = 10 - 3x
y = 10/(3x)
y = (3x)/10
PLEASE HELPP

Answers

Answer:

y = (3x)/10

Step-by-step explanation:

quotient  = divide

Daniel works at Funplex. Last week, he worked for 12 hours and made $93.84. How much does Daniel make per hour?

Answers

Answer

$7.82

Step-by-step explanation:

12 hrs=$93.84

1 hr= 93.84/12

1 hr=$7.82

Find the perimeter of the figure to the nearest hundredth.

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

use a calulator hint muliply everything

Step-by-step explanation:

( -9, 7) and (4, 7)?

Answers

The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.

Calculating the linear equation of the points

Given that

( -9, 7) and (4, 7)

Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.

Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):

y - y1 = m(x - x1)

y - 7 = 0(x - (-9))

y - 7 = 0

y = 7

So the equation of the line is y = 7.

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Find the value of x to the nearest tenth.

Find the value of x to the nearest tenth.

Answers

Answer:

2.8

Step-by-step explanation:

√(4² - 2²) = √12

=> √[(√12)² - 2²] = √8 ≈ 2.8

Under which circumstance can a very small treatment effect still be statistically significant?

Answers

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Someone pls help me I will make you as brain

Someone pls help me I will make you as brain

Answers

Answer:

d (2)

Step-by-step explanation:

your moving forward two spaces

The model represents an inequality

The model represents an inequality

Answers

Answer:

A) x≤-5

Step-by-step explanation:

4x+12≤-8

4x≤-20

x≤-5

Answer:x <_>Step-by-step explanation:

You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an equation.

Answers

Answer:

5.35*2+x=16 and the answer is $.35

Step-by-step explanation:

5.35*2+x=16

10.70+x=16

-10.70     -10.70

x=5.30

5.30/15= about .35

Answer

$12.65/15

Step-by-step explanation:

$16.00-$5.35=$12.65

This means that $12.65/15 is the cost of each apple.

Question:The Equation of this line is y+11=9(x+2)
A.True
BFalse​

Question:The Equation of this line is y+11=9(x+2)A.TrueBFalse

Answers

Answer:

I think it's false

Step-by-step explanation:

what is the probability of these events when we randomly select a permutation of the 26 lowercase letters of the english alphabet? a) the permutation consists of the letters in reverse alphabetic order. b) z is the first letter of the permutation. c) z precedes a in the permutation. d) a immediately precedes z in the permutation. e) a immediately precedes m, which immediately precedes z in the permutation. f ) m, n, and o are in their original places in the permutation.

Answers

The Probability of reverse alphabetical order is 1.04x10^-26, Probability of z being the first letter is 0.0385, Probability of z preceding a is 0.5, Probability of a preceding z is 0.0385, Probability of a, m, z in order is 0.00274, Probability of m, n, o in original positions is 0.00274.

The probability that the permutation consists of the letters in reverse alphabetic order is 1/(26!), which is approximately 1.04 x 10^-26. This is because there is only one permutation out of the 26! possible permutations that satisfies this condition.

The probability that z is the first letter of the permutation is 1/26, which is approximately 0.0385. This is because there is only one way to select z to be the first letter out of the 26 possible choices.

The probability that z precedes a in the permutation is 1/2, which is 0.5. This is because in any permutation of the 26 letters, z and a are equally likely to appear before or after each other.

The probability that a immediately precedes z in the permutation is (24!)/(26!), which is approximately 0.0385. This is because once the positions of a and z are fixed in the permutation, there are 24! ways to arrange the remaining 24 letters, out of the 26! possible permutations.

The probability that a immediately precedes m, which immediately precedes z in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of a, m, and z are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

The probability that m, n, and o are in their original places in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of m, n, and o are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

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a 25 foot ladder is placed against a vertical wall of a building. the foot of the ladder is 7 feet from the base of the building. if the top of the ladder slips 4 feet, then the foot of the ladder will slide how many feet? (

Answers

The foot of the ladder will slide by 8 feet.

The ladder will form a right angled triangle -

hypotenuse² = base² + perpendicular²

We have hypotenuse as 25 feet, base as 7 feet and we will find perpendicular.

P² = 25² - 7²

P² = 625 - 49

P² = 576

P = ✓576

P = 24 foot

After slipping, the perpendicular will decrease by 4 feet

New vertical height = 24 - 4

New vertical height = 20 feet

B² = 25² - 20²

B² = 625 - 400

B² = 225

B = ✓225

B = 15 foot

Slided distance = 15 - 7

Slided distance = 8 feet

Thus, ladder will be 15 foot away now and 8 feet away from older distance.

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6 1/6 divided by 7 5/6

Answers

We will get  \(61/75\), when 6(1/6) is divided by 7(5/6)

The usually written symbol for division is (÷). The "/" (slash) symbol is used in spreadsheets and other computer applications.

Division is the opposite of multiplication in mathematics.

The division is often considered the most difficult of the four main arithmetic operations. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use the calculator for more complex calculations without making mistakes.

For example, consider how we would find the answer to \(10 / 2\) (ten divided by two). This is the same as "split" \(10\)sweets between \(2\) children. Both children must end up with the same number of candies. In this example, the answer is \(5\).

Hence when \(61/6\) is divided by \(75/6\) it means \((61/6)/(75/6)\)

in which \(6\) cancels the \(6\).

The final answer will be \(61/75\)

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help meeeeeeeeee pleasee

help meeeeeeeeee pleasee

Answers

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Which multiplication equation can be used to explain the solution to 15: ?
1 x 15 = 5
5 X 3 = 15
15 = 3
45 x
= 15
Done

Answers

5x3
Because all the rest are division and the only other multiplication option is 1x15=5 which is not correct. I’m think

Use linear approximation to approximate the value of 9.001

Answers

Using linear approximation, the approximate value of f(9.001) is 36.018.

Linear approximation is the process of approximating the value of a function by using the tangent line at a particular point.

To approximate the value of 9.001 using linear approximation, we need to find the tangent line to the function f(x) = x^2 at x = 9 and then evaluate it at x = 9.001.

The equation of the tangent line to f(x) = x^2 at x = 9 is given by: y - 81 = 18(x - 9) y = 18x - 135 Now, we can use this equation to approximate the value of f(9.001) as follows: f(9.001) ≈ y(9.001) f(9.001) ≈ 18(9.001) - 135 f(9.001) ≈ 36.018.

Therefore, using linear approximation, the approximate value of f(9.001) is 36.018.

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PLEASE ANSWER QUICK!!!

PLEASE ANSWER QUICK!!!

Answers

Answer:

7.2 or 36/5

Step-by-step explanation:

can a interger have a decimal
ex: 25.5

Answers

Answer:

No it cant

integers don't include fractions or decimals.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Theres a key idea you're missing, factions or decimals are not included in integers.

Integers are positive and negative whole numbers, for example, 9, -8, and 0.

Decimals however are not a type of whole number. Integers can be expressed as a decimal but the majority of numbers that can be expressed as decimals are not integers. If there are any non-zero digits after the decimal point, the number is not an integer. (65.000 = 65 is an integer. 0.5, 65.0007, and 3.250 are not integers.)

When writing an integer, we usually omit the infinite zeroes after the decimal point because they provide no additional information about the number. Exceptions to this (45.0) are usually meant to show that the number has been rounded.

Determine if the graph shows a proportional relationship. graph of a line from 0 comma 0 going through 120 comma 12 No, it is not proportional because the line does not intersect with the origin. No, it is not proportional because the points do not make a straight line. Yes, it is proportional because the axes are numbered correctly. Yes, it is proportional because the line intersects with the origin.

Answers

Yes, the described graph shows a proportional relationship, the correct option is the last one.

"Yes, it is proportional because the line intersects with the origin."

Does the described graph belong to a proportional relation?

A proportional relationship is a linear equation whose y-intercept is y = 0, so we can write it in a general form as:

y = k*x

Notice that when x = 0

y = k*0

y = 0

So the line always passes through the point (0, 0).

Basically, any linear equation that passes through the point (0, 0) (except for the linear equation y = 0) is a proportional relationship.

Here we do know that our line passes through (0, 0), thus, the correct option is the last one.

"Yes, it is proportional because the line intersects with the origin."

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Item 3 The Ferrells save $150 each month for their next summer vacation. Write an equation that they can use to find y, their savings, after x months.

Answers

Answer:

y = 150x

Step-by-step explanation:

If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings

PLSSS HELP ME THIS IS DUE TODAY THE QUESTION IS IN THE SCREENSHOT

PLSSS HELP ME THIS IS DUE TODAY THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

b

Step-by-step explanation:

Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis

Answers

Answer:

\(hey \: its \: easy\)

(1) Square of 5 = 5 × 5 = 25

(2) Square of 10 = 10 × 10 = 100

(3) Square of 16 = 16 × 16 = 256

(4) Square of 25 = 25 × 25 = 625

(5) Square of 110 = 110 × 110 = 12100

like this you can also find it

hope it helps

pls mark as brainliest

Answer:

Step-by-step explanation:

You have to figure out what has to multiply by itself to get to that number.

So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:

One angle of a parallelogram measures 125 degrees. What are the measures of the other three angles in the parallelogram?

Answers

Answer:

55°, 55° and 125°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, then

Angle opposite 125° is also 125°

Consecutive angles are supplementary, sum to 180°, then

consecutive to 125° is 55°

sngle opposite 55° is also 55°

The other 3 angles are 55°, 55° and 125°

based on the effect size conventions, d = 0.60 is a

Answers

Based on effect size conventions, d = 0.60 is considered a moderate effect size. It is a standardized measure that quantifies the magnitude of the difference or relationship between two groups or variables.

It provides a standardized way to compare the strength of effects across different studies or contexts. Effect size conventions vary across disciplines and research areas, but a commonly used benchmark is Cohen's d. In this convention, an effect size of d = 0.20 is considered small, d = 0.50 is considered medium or moderate, and d = 0.80 is considered large.

Therefore, with a value of d = 0.60, the effect size is considered moderate according to this convention. It indicates a meaningful and noticeable difference or relationship between the groups or variables being studied, but not as strong as a large effect size would suggest.

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Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Answers

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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