Tell a folk story about the history of irrational numbers. Research what is known about irrational numbers, their development, and why they are important.

Answers

Answer 1

Answer:

The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.

Step-by-step explanation:


Related Questions

Equation parallel y= -3 also passes through the point (2,5)

Answers

Answer:

When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).

To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5

Step-by-step explanation:

Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Answers

Answer:

B. 19 inches and 60 inches.

Step-by-step explanation:

Required

Select matching pairs

Represent diameter with D and Circumference with C

C is calculated as:

[tex]C = \pi D[/tex]

Where

[tex]\pi = 3.142[/tex]

A. D = 5m; C = 22m

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 5[/tex]

[tex]C = 15.71[/tex]

15.71 does not approximates to 22m.

Hence, the pair do not match

B. D = 19 in; C = 60 in

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 19[/tex]

[tex]C = 59.698[/tex]

59.698 approximates to 60.

Hence, the pair match

C. D = 33 cm; D = 80 cm.

Using: [tex]C = \pi D[/tex]

[tex]C =3.142 * 33[/tex]

[tex]C =103.686[/tex]

103.686 does not approximates to 22m.

Hence, the pair do not match

From the analysis above, only option B matches the diameter with the circumference

In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.

Answers

Answer: ABC, ACD, CBD

Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.

The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

What is the right triangle:

It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry

Therefore, The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

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You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.

Answers

Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Step-by-step explanation:

A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .

So , length of one pair of opposite is represented by 'l'  [l= length]

Such that sum of these two sides = l+l=2l

The other pair of opposite sides s represented by 'w'  [w= width]

Such that sum of these two sides = w+w=2w

Perimeter is the sum of sides.

So, perimeter of rectangle = 2l+2w.

The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Test your PEMDAS

6+8/2(2+2)

This one is tricky

Answers

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?

Answers

Answer:

$120*.12= then add the answer to the money amount

Step-by-step explanation:

Answer:  120*1.12

The multiplier 1.12 represents the idea of increasing by 12%

This is because 100% + 12% = 1 + 0.12 = 1.12

For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

isosceles

Step-by-step explanation:

the two bottom angles are equivalent

the top angle is different

two sides are also of equal length

Isosceles is the Awnser hope this helps

Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4


Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)

Answers

Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17

help pls

6 x (2-8) + 4

Answers

Answer:

-32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

In Solving This You will Need To;

*First You Open The Bracket Which is

6×(2-8)+4

6×2-8+4

*So after this you will multiply the 6 by the 2 which is going to be;

12-8+4

*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;

4+4

Then you add the four plus 4 so the final answer will be 8

(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)

A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit

Answers

1.17 is the answer. Divide 4.78 by 4.

Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?

Answers

Answer:

48

Step-by-step explanation:

Bridget = 2      x 12 = 24

Jim = 1              x 12 = 12

Krutika = 1        x 12 = 12        ---> 24 + 12 + 12 = 48

At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?

Answers

Answer:

$14.22

Step-by-step explanation:

step one:

given data

we are told that 2 1/4( 2.25 pound) of candy cost $8

let us find the cost of 1 pound first

so

2.25 pound cost  #8

1 pound will cost x

cross multiply

x=8/2.25

x=$3.55 for one pound.

step two:

Hence  if 1 pound cost $3.55

4 pound will cost = 3.55*4= $14.22

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:

The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.

Answers

Whats the original temp? Is this the full question?

Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?

Answers

Answer:

 CAN YOU MARK ME BRAINLIEST ??

The answer is 1/8 candy left!!

Step-by-step explanation:

3/4=6/8 because x2.

6/8-5/8= 1/8

Answer:

1/8 of the jelly beans

Step-by-step explanation:

You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8

We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol

Answers

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

PLEASE HELP find the sins of z

Answers

Answer:

It's easy

Step-by-step explanation:

Check the attachment for your answer

Simplify this please (multi choice)

Answers

3 2/3 = 3x3=9+2=11/3
4 2/5= 4x5=20+2=22/5

Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *

Answers

In order for me to answer this I need the graph

Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.

Answers

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

F(x) = (4x–5)/6
Find the Inverse

Answers

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps!  Stay Safe!

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular

Need ASAP

Answers

Answer:

the answer to this question is parallel


Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?

Answers

9514 1404 393

Answer:

domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line test

Step-by-step explanation:

The domain is the list of x-values of the points on the graph. It is ...

  {-5, -4, 2, 5}

The range is the list of y-values of the points on the graph. It is ...

  {-6, 1, 3, 4, 5}

__

Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.

If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.

I need help bad please anyone I need this​

Answers

Answer:

The answer is A because 144 - 121 = 23 so

Step-by-step explanation:

because 144 - 121 = 23

Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?

Answers

Answer:

210 dollars left

Step-by-step explanation:

Answer:

he has 210 dollars left

Step-by-step explanation:

250+35=285

285-75=210

In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

65%

Step-by-step explanation:

1820/2800 percent.

(65%)

The unit rate declines on the of people satisfied/ the number of people total.

Hope this helps plz mark brainliest :D

Step-by-step explanation:

1820/2800

=65%

hope this may help you

In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.

Answers

Answer: 50%.

Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense

The probability is given by the equation P = 12.3 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P

Now , the equation will be

Let the probability of selecting a person owing a scooter A = 30 %

Let the probability of selecting a person owing a scooter A = 0.3

Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %

Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41

Now ,

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B

Substituting the values in the equation , we get

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle

P = 0.3 x 0.41

P = 0.123

Hence , the probability is P = 12.3 %

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bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?

Answers

Answer:

12.55

Step-by-step explanation:

Subtract 20 by 7.45

The required amount bob will get in return is given as $12.55.

Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
total nill = $7.45
Total money given  = $20
Change to return = 20 - 7.45 = $12.55

Thus, the required amount bob will get in return is given as $12.55.

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