what is pi? In order to prove mastery explain how pie relates to the circumference and diameter of a circle

Answers

Answer 1

Pi, or π, is a number that is used to represent the ratio between a circle's circumference and its diameter.

Step-by-step explanation:

Answer 2
The number π (/paɪ/; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry[a] as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. The earliest known use of the Greek letter π to represent the ratio of a circle's circumference to its diameter was by the Welsh mathematician William Jones in 1706.[1] It is also referred to as Archimedes's constant.[2][3]

As an irrational number, π cannot be expressed as a common fraction, although fractions such as
22
/
7
are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness.

It is known that π is a transcendental number:[2] It is not the root of a non-zero polynomial with rational coefficients. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge.


Related Questions

Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)

Answers

Answer:

[tex]10x+35[/tex]

Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.

Hope it helps.

Do comment if you have any query.

If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?


O -1
O 3/2
O 41/8
O23

Answers

Answer:

the answer is 3/2........

Explain how stroke is caused by substance abuse

Answers

Answer:

Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.

Step-by-step explanation:

The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?

Answers


Answer: 13 inches by 13-√3 inches

Let

x-------> the length side of the TV

y-------> the width of the TV

d------> the diagonal of a TV

we know that

in a 30-60-90 right triangle
cos (30°) = √³/2

sin (30°) =1/2

d = 26 in

sin (30°) = ----> y = d * sin(30°)

cos (30°) = ----> x = d * cos (30°)

substitute the values

y = 26* = 13 in

x = 26³ = 13√√3 in

the length side of the TV is 13√3 in the width of the TV is 13 in

Answer: 13 inches by 13-√3 inches

I hope this helps! :)

Identify the quotient in the form of a + bi.
1 + 6 divided by
−3 + 2i

Answers

The quotient of the expression in form of a + bi is 9/13 - 20/13i

Rationalizing complex expressions

Given the following expressions

1+6i/-3+2i

Rationalizing the given rational complex number, we will have;

= 1+6i/-3+2i * -3-2i/-3-2i

= (1+6i)(-3-2i)/9+4
= -3-2i-18i-12i²/13

Simplify the result to have:

= -3+12-20i/13
= 9-20i/13

Express in the form a + bi

9/13 - 20/13i

Hence the quotient of the expression in form of a + bi is 9/13 - 20/13i

Learn more on complex number here: https://brainly.com/question/10662770

How do you simply a ratio? I have no clue how to do that.

Answers

We simply a ratio just like we simply fraction, 4/6 = 2/3 so 4:6 = 2:3

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.

key concept: 1/2(Base*Height)

100 POINTS AND BRAINLIEST. I need help ASAP.
Screenshots Below.




Consider the table of values for functions f(x) and g(x).

x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.

The output values of f(x) will surpass those of g(x) as the input values continue to increase.

Answers

Answer:

Step-by-step explanation:

First what we must do is rewrite the table to find a solution:

0.25^x −0.75x+1

   64     3.25

   16     2.5

    4      1.75

    1      1

 0.25     0.25

 0.0625 −0.5  

 0.015625  −1.25

We see where the values of the function are the same:

x = 0 (1)

x = 1 (0.25)

answer:

x = 0

x = 1

Answers:

f( x ) is an exponential function.g( x ) is a polynomial function.The output values of f( x ) will surpass those of g( x ) as the input values continue to increase.

An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.

Answers

Answer:

c=30p

$450

Step-by-step explanation:

Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.

Writing the Equation

As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.

This creates the equation C=30p

Solving the Equation

To solve the equation for 15 people, plug 15 in for p.

C=30(15)

Then, multiply out to solve

C=$450

How many ounces are in 4 pounds?

4 ounces
56 ounces
64 ounces
72 ounces

Answers

Answer:

64

Step-by-step explanation:

16 ounces per pound

16 x 4

The answer would be C. 64

plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0

Answers

Step-by-step explanation:

Diameter is 18

So radius will be d/2 which is 9

As the formula of area is

[tex] \pi{\r}^{2} [/tex]

So put the vales

We get s

254

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

A student wants to interview students about their favorite sport. The students asks 50 people who play a sport for the school. Is this an example of a random sample or a biased sample?


A
Random sample

B
Biased sample

Answers

Answer:

Random

Step-by-step explanation:

Find the area of the parallelogram. of 6 m 10 m

Answers

Answer:

60m

Step-by-step explanation:

The formula for the area of a parallelogram is base x height.

b x h

6m x 10m = 60m

The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers

Answers

Answer:

4 and 6

Step-by-step explanation:

first you must write your let statements

let x = smaller integer

let y = bigger integer

y - x = 2

x + y^2 = 40

then you use substition to find your anaswer

x = y - 2

y - 2 + y^2 = 40

y^2 + y - 42 = 0

then find the numbers that add up to 1 and multiply to -42

-6 and 7

y^2 + 7y - 6y - 42

y(y + 7) - 6(y + 7)

(y - 6)(y + 7)

set both sides equal to 0

y = 6, -7

y must be positive so it is 6

then plug y into one of the equations to get your answer

6 - x = 2

x = 4

your answer is 4 and 6

The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x

Answers

Answer:

x= 28/5 or 5.6

Step-by-step explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x  <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.

[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]      

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

can someone please help me solve this? thank you!

Answers

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet


Linear travel = circumference x rotations


linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

GIVING BRAINLIEST + STARS


I know A to B is 20m/s but what is C to D?

Answers

Answer:

See below ↓↓

Step-by-step explanation:

A to B

Avg. speed = Distance covered / Time takenAvg. speed = 200 m / 10 sAvg. speed = 20 m/s

C to D

Avg. speed = Distance covered / Time takenAvg. speed = (500 - 200) m / (60 - 30) sAvg. speed = 300 m / 30 sAvg. speed = 10 m/s

Brainliest?! :]

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.

Hope it helps:)

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

Want Brainliest? Please help! :(

Find the circumference and the area of a circle with diameter 6 m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Circumference=18.84 m

Area = 28.26 [tex]m^{2}[/tex]

Step-by-step explanation:

Circumference = 2πr

                         = 2 x 3.14 x 3 (radius = 6/2 = 3)

                         = 18.84 m

Area = π[tex]r^{2}[/tex]

        = 3.14 x [tex]3^{2}[/tex]

        = 28.26 [tex]m^{2}[/tex]

Answer:

Circumference=18.84 m

Area = 28.26

Step-by-step explanation:

A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale

Answers

Answer:

Step-by-step explanation:

Multiplying the sales amount of 500$ and the commision rate of 6% results to

500(0.06)
=30.

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

What is 594 minus 236?

Answers

Answer:

358

Step-by-step explanation:

the answer is 358 because

MAX POINTS help me

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \sin(bx) + c[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

General equation:-

Asin(bx)+c

So

Amplitude=A=-3

Min=-2 ,max=4

Hence

b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2

midline =c=1

So plugin the values

y=-3sin(π/2x)+1

Hello I need a little here with this

Answers

I may be wrong but I believe that <1=<2

julia help the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red. there are 8 tables in all how many are red?

Answers

The fraction illustrates that there are 6 red tables.

How to calculate the fraction?

Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.

Therefore, the numbers that are red will be:

= Fraction of red × Total number

= 3/4 × 8

= 6

Therefore there are 6 red tables.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

For some particular website, the password must start
with the letter X. Then there must be 4 more charters, and each of those characters may be a
numeric digit or a letter of the alphabet. How many different passwords are possible?

Answers

Answer:

Step-by-step explanation:

I take it you are not allowed to mix cases. There are 26 lower case letters (a b c d e f...) to the alphabet and 0 to 9 (which is 1 of 10 choices). The total number of starting choices is

x 36 * 35*34 * 33  = 1413720 possible passwords.

What is the slope of a line parallel to the line with equation 5x−2y=11?


−112

−52

−25

52

Answers

Answer: 52

Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .

A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14​

Answers

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

x² - 16x + 50 = 0

( x² - 2(x)(8) + 64 ) - 64 + 50 = 0

( x - 8 )² - 14 = 0

( x - 8 )² = 14

Answer:

(x-8)^2=14

:)

Step-by-step explanation:

what is difntion of tautology?

Answers

a phrase or expression in which the same thing is said twice in different words.

The following figure shows a cube. Which expression represents the surface area of the cube?

Answers

Answer:

6 ⋅ 16

This is the sum of the areas of the 6 square faces.

The surface area of the cube in the figure given is 96 squared units

What is surface area of a cube?

The surface area of a cube is calculated by finding the total area of all six faces. Since all sides of a cube are equal in length, you can use the formula:

Surface area of a cube = 6 × (side length)²

In other words, you square the length of one side of the cube and then multiply it by 6 to get the total surface area.

Let's say the side length of the cube is "s," then the formula becomes:

Surface area of a cube = 6 × s²

In the question given, we can calculate the surface area of this cube as;

Surface area = 6 * s²

s = 4

Surface area = 6 * 4²

Surface area = 6 * 16 = 96 unit²

Learn more on surface area of cube here;

https://brainly.com/question/410493

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