Prove that 3 + 2√5 is irrational

Answers

Answer 1

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. The square root is not rational.

good luck, i hope this helps :)


Related Questions

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!
There are 24 children at the skate park. Seven of them are on bikes, nine of them are on skateboards, and the rest are on inline skates (4 wheels per skate). How many wheels are at the skate park?
a. 24
b. 96
c. 114
d. 8

Answers

Answer:

C. 114

Step-by-step explanation:

bikes have 2 wheels

skateboards have 4 wheels

incline skates have 8 wheels in total

7*2 = 14

9*4 = 36

8*8 = 64

if you add all of these up you get 114 wheels in total. 8*8 was from 24-7-9 = 8

Angle EFG is 80
Find side of angle x

Answers

80+x+x=180 (angle sum property)
80+2x=180
2x=180-80
2x=100
x=100/2
x=50

Will and Ben win £1000 in a raffle
they give a fifth of it to charity and share what's left in the ratio 1:3.
How much is bens share

Answers

Answer:

600

Step-by-step explanation:

Answer:

£600

Step-by-step explanation:

1/5 of 1000= £200

that means £800 is left over

1:3= 200:600

ben gets £600, will gets £200

3. The following expression is given. 2/3 (3/4x-3/2)
Write an equivalent expression by using the distributive property and
combining any like terms.

Answers

Step-by-step explanation:

2/3*3/4x-2/3*3/2

1/2x--1

What’s the rate of 4.1(x+5)+1

Answers

Step-by-step explanation:

4.1(x+5)+1

= 4.1x + 20.5 + 1

= 4.1x + 21.5

if the ratio of two numbers is 2;3 and their G.C.F is 8 what is their L.C.M

Answers

Expert Answer:

Since the numbers are in the ratio 3:4 then let the numbers be 3x and 4x.

Thus the H.C.F. of the two numbers = x.

But the H.C.F is given as 4.

So, x = 4.

So, the numbers are,I

3x = 3 x 4 =12

And

4x = 4 x 4 = 16

We know,

H.C.F x L.C.M = Product of the two numbers

4 x L.C.M = 12 x 16

L.C.M = 48

Thus, the L.C.M of 12 and 16 , 48

There are 24 spaces on the Wheel of Fortune spinner. There are two bankrupt and one lose a turn section. What is the probability that you spin bankrupt or lose a turn on your turn?

Experimental or Theoretical?

Answers

Answer:

8.33%

Step-by-step explanation:

2÷224÷2=112

We know that

112

is the same as

1÷12

Then using

Long Division for 1 divided by 12

gives us

0.08333

Converting our number to a percentage:

0.08333×100

=8.33%

In the number 222, how many times larger is the value of the digit in the tens place than the value of the digit in the ones place?

Answers

Answer:

hi to everyone for me and the kitchen and

Find the perimeter of quadrilateral LEAP with vertices L(-3, 1), E(3, 3), A(5, 7) and P(-1,5)

Answers

Answer:

4√5 + 4√10

Step-by-step explanation:

The perimeter is the sum of all the sides.

Using the coordinates given to us, we can find the sides of the quadrilateral.

d(ab) = √[(x2 - x1)² + (y2 - y1)²]

Given that, we apply that to each and every of the side, and thus we have

d(le) = √[(3 --3)² + (3 - 1)²]

d(le) = √[(6²) + (2)²]

d(le) = √(36 + 4)

d(le) = √40

d(ea) = √[(5 - 3)² + (7 - 3)²]

d(ea) = √[(2)² + (4²)]

d(ea) = √(4 + 16)

d(ea) = √20

d(ap) = √[(-1 - 5)² + (5 - 7)²]

d(ap) = √[-6)² + (-2)²]

d(ap) = √(36 + 4)

d(ap) = √40

d(pl) = √[(-1 --3)² + (5 - 1)²]

d(pl) = √[(-2)² + (4)²]

d(pl) = √(4 + 16)

d(pl) = √20

Perimeter of the quadrilateral is then

d(le) + d(ea) + d(ap) + d(pl)

√40 + √20 + √40 + √20

4√5 + 4√10

a ferris wheel can accomidate 65 people in 25 minutes
how many people can ride the ferris wheel in 5 hours

Answers

Answer:

325

Step-by-step explanation:

I dont know how to explain it

(7*10^5)*(3*10^2) answer in standard form

Answers

210000000 you welcome ... I think that’s the answer
Scientific notation is 2.1 10^8

Rewrite the expression in the form z^n

Answers

Answer:

[tex] {z}^{ \frac{1}{2} } [/tex]

Step-by-step explanation:

[tex] \huge \sqrt[5]{ {z}^{4} {z}^{ - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{4 - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{8 - 3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{5}{2} } } \\ \\ = \huge {z}^{ \frac{5}{2} \times \frac{1}{5} } \\ \\ = \huge {z}^{ \frac{1}{2} } [/tex]

A new car is purchased for 18000 dollars. The value of the car depreciates at 7% per year. To the nearest tenth of a year, how long will it be until the value of the car is 8500 dollars?

Answers

Answer:

5 weeks

Step-by-step explanation:

because my teacher told me

Answer:actually it’s 10.3

Step-by-step explanation:delta math gave me the right answer once I got it wrong

Help meeeeeeee! I will give brainly just do it soon!

Answers

Answer:

x=25

Step-by-step explanation:

hope this is correct!

Help me and i will give away 50 points

Answers

the largest square with a side angle is 144inches

Answer:

Step-by-step explanation:

During the Dallas marathon, a helicopter monitors the racers at a height of 527 feet. The pilot can see the runners that are in first and second place. The angle of elevation from the runner in first place to the helicopter is 45 degrees. The angle of elevation from the runner in second place to the helicopter is 60 degrees. What is the distance from the runner in 2nd place to the point directly below the helicopter? Round your answer to the hundredths place.

Answers

The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:

304.26 feet.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

The parameters for this problem are given as follows:

Distance of x adjacent to the angle of 60º.Opposite side of 527 feet, which is the height.

Hence the distance is obtained applying the tangent function as follows:

tan(60º) = 527/x

x = 527 / tangent of 60 degrees

x = 304.26 feet.

More can be learned about trigonometric ratios at brainly.com/question/24349828

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Please help me find the area of this polygon.

Answers

Answer:

28²

Step-by-step explanation:

area for square

4×4=16

area for triangle

6×2=12

12÷2=6(the formula for finding a triangle area is height×length after that divided by 2)

for both triangle

6×2=12

after that add 12+16 then you have the answer and don't forget your ²...

im on a time crunch plz

Answers

Answer:

I would say 2

Answer:

6 hours.

Step-by-step explanation:

bc to find the range of a number you have to find the difference between the largest and smallest numbers. in this case its 2 and 8 and the answer would be 6

Best Buy shoes had a back to school special. The total bill for four pairs of shoes came to $62.24(before tax) what was the average price for each pair of shoes

Answers

Answer:

I believe it's 15.56

Step-by-step explanation:

just divide 62.24 by 4

Can someone help me with this please I need help

Answers

Answer:

This is linear.

Step-by-step explanation:

Its because it has a constant rate, no sudden changes.

Answer:  Linear

Step-by-step explanation:

This is linear because when graphed it is straight.

Does anyone know the answer?

Answers

Answer:

sis 3rd option is correct

pls Answer..........................................

Answers

Answer:

C= 27

G= 37

J=57

Z= 1

Step-by-step explanation:

These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^

Reflect points please help me

Answers

Count how many squares from the line to point B and then on the other side of the line with the same amount of squares is the reflective point of b.

Answer:

Step-by-step explanation:

The distance from point B to line m is 6 units. To reflect across the m axis, flip the point. Therefore, after reflection, point B' is 6 units under axis m

How many solutions does the PLEASE HELP
nonlinear system of equations graphed below
have?
10
10
10
O A. One
B. Two
C. Four
D. Three

Answers

Answer:

three hope this helps you out

The given non-linear function will have three solutions.

What is a non-linear function?

A nonlinear system is a system in which the change of the output is not proportional to the change of the input.

Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,

We know that the by studying the graph of any function we can deduce the number of solution,

We know that the number of times graph intersects each other is its solution,

Looking at the graph we can see that the graph is intersecting the graph three times,

Hence, the given non-linear function will have three solutions.

Learn more about non-linear function click;

https://brainly.com/question/20286983

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If AB=7x, CB=5x+8 and BD AC what is the length of CB

Answers

Answer:

x = 4

CB = 28

Step-by-step explanation:

In triangle ABC,

AB = CB..... (given)

Therefore,

7x = 5x + 8

7x - 5x = 8

2x = 8

x = 8/2

x = 4

CB = 5x + 8 = 5*4 + 8 = 20 + 8 = 28

3√(64x^9y^3)^4. Simplify the expression.

Answers

Answer:

[tex]2x^{2}y[/tex]

Step-by-step explanation:

Need help on number 7

Answers

Answer:

area of triangle=1/2 base×height=1/2 8×14=56cm²

1/9 + -5/9 PLEASE HELP

Answers

Answer:

-4/9

Step-by-step explanation:

find the commission earned or the rate of commission. Round money answers to the nearest tenth if necessary. Sells $420 Commission $31.50. I will mark brainliest. any answers on here that don't belong will be reported . ​

Answers

Answer:

7.5 %

Step-by-step explanation:

31.50/420 = 0.075 = 7.5 %

Answer:

7.5% commission

Step-by-step explanation:

420 x r = 31.50

420r = 31.50

r = 31.50/420

r = 0.075

multiply by 100 to get the percentage, = 7.5%

Please Helpppppp!!!!! What is the value of x.

Answers

Answer:

Step-by-step explanation:

Remark

By corresponding angles and vertical angles, these two angles are equal.

Equation

-1 + 14x = 12x + 17                      Subtract 12x   from both sides

Solution

-1 + 14x - 12x = 12x - 12x + 17

-1 + 2x = 17                                 Add 1 to both sides

-1+1 + 2x = 17 + 1

2x = 18                                       Divide by 2

2x/2 = 18/2

x = 9

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