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

A group of friends is going on a trip. They must pay a total of $681 to rent a bus for their trip. Along with the bus rental fee, the friends will also need to spend a total of $2,150 on hotels for the week. To pay for the cost of the bus and hotel, the friends held a bake sale and raised $691. They then decided to sell candy for $4 a bag of candy to cover the remaining costs. How many bags of candy must the friends sell?

Answers

Answer:

$535

Step-by-step explanation:  $681 + 2,150 = 2831   $2831- 691 = 2,140  $2,140/4 = 535 which means they need to sell 535 candy more.

A school has 320 girls and 250 boys.

Answers

Answer:

580 girls and boys

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator. URGENT HELP 50 PTS


Answers

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]

Christa wrote 1 page in 2/3 hour. Which is Christa's writing rate per hour?

Answers

Answer:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

in 1 hour christa writes 1 and 1/2 of a page

What is the distance between points (-7, 8) and (2, 8)? ​

Answers

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

The distance between points (-7, 8) and (2, 8) is 9 units.

Formula to calculate distance between two points:

The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

For given question,

Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]

Let d be the distance between two points.

Using distance formula,

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]

[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]

[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]

[tex]d=\sqrt{9^{2}+0 }[/tex]

[tex]d=9[/tex]  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

Learn more about distance between two points here:

https://brainly.com/question/4385475

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Troy graphed the line y = 5x - 2. Sarah graphed the line y = 5x + 2 on the same set of coordinates.
Which statement describes how the graph of Sarah's line compares to the graph of Troy's line?

Answers

Answer:

(6, -30) ⇒ A

(-3, 15) ⇒ D

(1, -5) ⇒ E

Step-by-step explanation:

Answer: It’s A

Step-by-step explanation:

A tennis supply store pays a wholesaler $90 for a tennis racquet and sells it for $150. What is the markup rate?
(Quantity = Percent x Whole)

Answers

Answer:

Markup    66.6666666......%      =      66 2/3 % (66 and 2/3 percent)

Step-by-step explanation:

The difference in prices is $150-$90=$60. So, we need to find what percentage of 90 is 60. We do this by dividing: 60/90=0.6666...., which is 66.666...%. So, the markup is 66.666...%.    =    66 2/3 %

Is this non linear or linear?

Answers

That looks linear

As both x and y go in a pattern

x is +3

y is -2
i think this is linear

Rewrite in factored form. g(x)=2x^2+10x+12

Answers

Answer:

. g(x)=2x^2+10x+12=2x²+6x+4x+12=2x(x+3)+4(x+3)

=(x+3)(2x+4)=2(x+2)(x+3)

Answer:

2(x + 3)(x + 2)

Step-by-step explanation:

All three terms of g(x)=2x^2+10x+12 have the factor 2, so

g(x)=2x^2+10x+12 = 2(x^2 + 5x + 6).

This can be factored further, into:

                                 2(x + 3)(x + 2)

please help will mark brainliest

Answers

Answer:

16.5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 13² = 21²

x² + 169 = 441 ( subtract 169 from both sides )

x² = 272 ( take the square root of both sides )

x = [tex]\sqrt{272}[/tex] ≈ 16.5 cm ( to the nearest tenth )

Evaluate the expression when a = 3 and y=-3.
-a +6y

Answers

-3+6(3)=15
answer: 15

HEELP! NEED WORK!

A stadium with 75 rows has 10 seats the 1st row, 15 in the 2nd, 20 in the 3rd and so on.
How many seats are in the 75th row? How many seats are in the stadium?

Answers

Answer:

380

Step-by-step explanation:

This is an airthmatic sequence

we can use the following equation to find the nth term

a₁+(n-1)d

where the common difference (d) is 5

and the first term (a₁) is 10

and n is 75

we have

10+(75-1)*5

10+370

380


There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...​

Answers

Answer:

15 students walk to school

Step-by-step explanation:

42 - total students

42 - 23 = 19

----

23 girl students

19 male students

----

19 - 6 = 13

13 - 2 = 11

--

11 - 7 = 3

3 + 2 = 5

--

10 girls walk to school

5 boys walk to school

--

10 + 5 = 15

i will give brainleist if right!

A circular garden has a diameter of 10 yards. What is the area of the garden?
Use 3.14 for T.
A. 78.5 yd2
B. 31.4 yd2
C. 314 yd2
D. 39.25 yd2
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

An art teacher divided 15 pounds of paint equally to 4 groups of students. How many pounds of paint did each group receive?

Answers

Answer:

Each group received 3.75 pounds

You divide 15 by 4 and get 3.75

If the area of a square is 25 m2, its perimeter must be

Answers

Answer:

20m

Step-by-step explanation:

A=s^2

root 25=s

s=5m

so to find perimeter we will use the formula 4s

P=4×5

P=20m

please mark as brainliest

Answer:

The perimeter of the square must be 20m

Step-by-step explanation:

•Area of a square = side²

25m² = side²

5 m = side (square root)

•Perimeter of a square = 4 x side

4 x 5m

20m

how can i tolk to ather pepol

Answers

Answer: Just pretend to fall or ask a quenstion then you chould start talking to some one

Step-by-step explanation:

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!!

what is 89 -98. My mom asked me and im totally cluelesss

Answers

Answer:

negative 9 I think

Step-by-step explanation:

it's making me right more what

brainest for whoever get the right answer first​

Answers

Answer:

discrete. discrete can be used to describe graphs that involve variables such as customers and tickets.

helllllllppppp plzzzz

Answers

The line intersects at (-0.5,0.5)
The solution is (-0.5,0.5).

What is the volume of this composite solid?

5 m

12 m

9 m

A. 864 cubic meters
B. 567 cubic meters
C. 1188 cubic meters
D. 132 cubic meters
I need help plz may mark brainiest

Answers

The answer is a. 864

Someone please help me!!!!
Find the total area of the regular pyramid. 280sq. units 180 + 54^3 sq. units 360 + 54^3 sq. units 234^3

Answers

Answer:

180+54sqrt3

You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609

If Carl mowed 4 yards for $35, how much will he get for mowing 7 yards?​

Answers

Answer:

61.25 dollars

Step-by-step explanation:

We can use a ratio to solve

4 yards            7 yards

--------------  = -----------------

35 dollars         x dollars

Using cross products

4x = 35*7

4x =245

Divide each side by 4

4x/4 = 245/4

x =61.25

PLEASE HELP!!!
1. In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may use words and/or an equation.
(b) Suppose RT = 16 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.

Answers

Answer:

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

Thus,  

Thus the length of TU=6 inches

How is the length of the image of a line segment under a dilation related to
the length of its pre-image?

Answers

Answer:

It is dilated by the scale factor

Step-by-step explanation:

For example is one line is 2 units long and  the image of that line was 4 units long the scale factor would be 2. (2 x 2 = 4.) If it was the other way around with the 4 as the original line and the 2 as the image line the scale factor would be 1/2. (1/2 x 4 = 2)

Answer:

260 units

explanation:

A dilation with a scale factor is noting but an increase in size of geometrical figure by a certain value.in the circumstances the line AB is 5 units. being a line AB has no width, so it only increases in length. if you want new length, it's simple.all that's nessary multiply the orgin length by the scale factor.

5.52=260

the solution is 260 units.

What is the slope between 8,-7 and 5,-3

Answers

-4/3 I believe is your answer.

Step-by-step explanation:

hence, from given solution it is shown that slope is -4/3.

HELP ITS DUE IN 15 mins!!!!! and i need help:(

Answers

Answer: Fred's Slope

Step-by-step explanation:

Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.

Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out

Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred

Anne's slope is 4.75

sams slope is 2/11

and fred’s is 5

not sure how to do this can you help me ? ​

Answers

Here , we are going to use Trigonometric ratios.

In given right angled ∆ ;

[tex]{:\implies \quad \sf \dfrac{x}{18}=\sin (60^{\circ}) \quad \bigg\{ \because \sin (\theta)=\dfrac{P}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18\sqrt{3}}{2} \quad \bigg\{\because \sin (60^{\circ})=\dfrac{\sqrt{3}}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad x=9\sqrt{3} \: units}[/tex]

Also;

[tex]{:\implies \quad \sf \dfrac{y}{18}=\cos (60^{\circ}) \quad \bigg\{ \because \cos (\theta)=\dfrac{B}{H}\bigg\}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{18}{2} \quad \bigg\{\because \cos (60^{\circ})=\dfrac{1}{2}\bigg\}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad y=9 \: units}[/tex]

Hence , The required values for x and y are 9√3 and 9 units

please help like rn ​

Answers

A 110
B 70
C 110
D 110
E 70
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