Prove that √3 is irrational.

Answers

Answer 1

Answer:

it is irrational because the square root is a series numbers whereas a rational number can be expressed as a fraction (recurring and terminating decimals) but irrational numbers can't be expressed as a fraction

Answer 2
this number is not rational

Related Questions

Question 9
Estimate the square root of 6 rounded to the nearest tenth

Answers

2.4 , please mark brainliest

Answer:

2.4

Step-by-step explanation:

Step 1: Calculate

Calculate the square root of 6 to be:

√6 = 2.44948974278318

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

2.44

Step 3: Round

Round 2.44 so you only have one digit after the decimal point to get the answer:

2.4

2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?

Answers

Answer:

the sale price is £76

Step-by-step explanation:

The computation of the sale price is shown below:

= Original price - original price × off percentage

=  £80  - £80  × 5%

= £80   - £4

= £76

Hence, the sale price is £76

If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8

Answers

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

What’s the answer???

Answers

X=-12 that's the answer

the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.

Answers

Step-by-step explanation:

the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter

2(4x+1)+2x=92

8x+2+2x=92

10x=90

x=9

width=x=9

length=4x+1=4(9)+1=37

Hope that helps :)

What is the rate of change of the function represented by the table? X 1 2 3 4, Y 5 5 5 5.
0
1
4
5​

Answers

Answer:

Rate of change looks to be 0

Answer:

A or in other words its 0

Step-by-step explanation:

A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and
a height of 5 centimeters. What is the surface area of the prism?
104 sq cm
120 sq cm
60 sq cm
72 sq cm

Answers

Answer:

104cm^2

Step-by-step explanation:

Given data

Length= 6cm

Width=2cm

Height= 5cm

The expression for the surface area of a rectangular prism is given as

SA=2lw+2lh+2hw

Substitute

SA=2*6*2+2*6*5+2*5*2

SA= 24+60+20

SA=104cm^2

Hence, the SA is  104cm^2

Find the unit rate.Round to the nearest hundredth,if necessary. 370 for 12 ft2. The unit rate is $ _______/ft2 I NEED HELP!!!

Answers

Answer:

30.80

Step-by-step explanation:

$370/12ft^2

hope this is helpful ! stay safe, God Bless you and your family...!

Help please!!!!!!!!!!!

Answers

Answer: x = 12, ∠B = 45°

Step-by-step explanation:

Angle A and Angle B are alternate exterior angles meaning that they are equal

5x - 15 = 2x + 21

3x - 15 = 21

3x = 36

x = 12

B = 2(12) + 21

B = 24 + 21

B = 45

A stone pyramid in Egypt has a square base that measures 160 m on each side. The height is 91 m. What is
the volume of the pyramid?

Answers

Initial considerationsbase = 160 mheigh= 91 mVolume = ?

Resolution

Volume = (base area x heigh)/3

base area = 160m x 160m

base area = 25600 m²

Volume = (25600 m² x 91 m) / 3

Volume = 776533.333 m³

Answer

the volume is 776533.333 m³

is 14:12 equivalent to 7:5

Answers

Answer:

Yep,

it is correct!

Answer:

No

Step-by-step explanation:

14:12 is not equivalent to 7:5 because if you divide 14 by 2, you would get 7. If you divide 12 by 2, however, you will get 6. So the equivalent ratio for 14:12 is 7:6.

9. Find the value of x.

(look at the picture)

Answers

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:

PLEASE HELP!!!! (exponential decay/growth) .

Answers

Answer:

B or 2nd answer.

The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
HELP PLEASE I NEED HELP ASAP IM TIMED

Answers

60 degree angle.
Hope this helps

Answer:

30 degree's

Step-by-step explanation:

Becuase the rule is GFH(2)+EFH

And GFH+EFH+90 the only solution is 30 and 60.

Hiiioo! Can someone please help me with this math question ❤️

Answers

Answer:

your answers will be

<E=25

M<F=65

M<G=90

Step-by-step explanation:

i hope it helps

have a nice day!!


15. In a class if 75% of students own a bicycle, then percent of the students
do not have bicycles is???

Answers

Answer:

100%-75%= 25%

Step-by-step explanation:

100%= whole class

75%=students that own a bicycle

25%=students that do not have a bicycle

Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.

Answers

Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)

Step-by-step explanation:

Please Help...........

Answers

Slope is m= y2- y1 / x2- x1.

Billy flipped both where the numbers go, and in which order they should be in.

It should be -5-5 / -2-2 giving you zero (0).

Can someone please help me answer this??

Answers

Answer:  x = (y-2)^2 + 5

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

the top answer is correct might just want to tell you that

Which equation represents a nonlinear function?
Help please!!!

Answers

Answer:

C

Step-by-step explanation:

A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.  

C is the answer to the function

Devon has 3 gallons of water in a large container. He begins to fill up glasses that each hold 1/8 gallon of water. How many glasses can he fill up until the water runs out?
A. 1 1/2
B. 4
C.1 2
D. 24
I need this awnser soon Please help!!!!

Answers

Answer:

its a

Step-by-step explanation:

Answer:24

Step-by-step explanation:3 divided by 1/8 is just 3 multiplied by 8

Show that the area of this pentagon can be written as 5x2 - 4x - 12.
All measurements are in centimetres.​

Answers

the answer would be 14

I don’t get this i need help

Answers

Answer:

a

Step-by-step explanation:

Answer:

Answer=(X + 5, Y - 4)

Step-by-step explanation:

X + 5 means you move to the right 5 places then Y - 4 means you move down 4 places.

10 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer: Choice A)  8x+2 = 14x-76

==============================================================

Explanation:

Since lines A and B are parallel, this makes the corresponding angles (8x+2) and (14x-76) to be equal.

So the equation we need to solve is 8x+2 = 14x-76

If you solve that equation, you should end up with x = 13. Plugging x = 13 into either 8x+2 or 14x-76 would lead to the result of 106. So each corresponding angle is 106 degrees.

Answer:

8x+2=14x-76

(the first answer)

Step-by-step explanation:

Corresponding Angles

25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?

Answers

The unit price is $0.20 per ounce or $3.20 per pound.

A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?

Answers

Answer:

52 photos per hour

Step-by-step explanation:

8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52

Answer:

A) 52

Step-by-step explanation:

Ann has two more than twice the amount of toffees Mary has. Total number of

toffees among them is 11. (i) Assuming the number of toffees Mary has is x, build up an equation.​

Answers

Answer:

SO THE EQUATION IS

2 + 2X = 11

What’s the perimeter

Answers

Answer:64

Step-by-step explanation:

Answer:

64 is the answer :)

Step-by-step explanation:

i hope its correct

What can you use to prove ABE = CDE

Answers

Answer:

its ASA

Step-by-step explanation:

can someone please answer my question from my profile?

Answer:

AAS

Step-by-step explanation:

In addition to the side and angle given, there is another angle shared, which are the vertical angles. .

By AAS, (non-included side) they are congruent

find the length of the bold arc. Round your answer to the nearest tenth.

Answers

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

Therefore, the circumference of the circle, 'C', is given as follows;

C = 2·π·r

∴ C = 2×π×17 = 34·π

The angle subtended by the arc = 45°

The sum of the angles at the center of the circle = 360°

By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle

Mathematically, we have;

[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]

Therefore, we get;

[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]

[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]

The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).

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