State whether 2.5 + π is rational or irrational. Explain.

Answers

Answer 1

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.


Related Questions

Please Help Cuz For A Hunid points

Answers

She got a potato I'm peelin it

Answer:

1. Vertical angles. X = 128º

2. The two angles labeled make up a linear pair & are supplementary, meaning they add up to 180º.

So:

7x + (x+20) = 180

Solve for x:

7x + (x + [20-20]) = 180 - 20

7x + (1)x = 160

8x = 160

X = 20

3. The two angles are complementary, meaning they add up to 90º.

So:

X + 35 = 90

Solve for x:

X + (35-35) = 90 - 35

X = 55

4. the two angles are complementary, and add up to 90º.

So:

4x + 2x = 90

Solve for x:

6x = 90

6x/6 = 90/6

X = 15.

5. Vertical angles, so they are equal in measure.

So:

75 = 4x - 25

Solve for x:

75 + 25 = 4x (-25 + 25)

100 = 4x

100/4 = 4x/4

X = 25.

6. The 3 angles all add up to 180º. they are supplementary.

So:

75 + x + (3x + 5) = 180

Solve for x:

(75 - 75) + x + (3x + 5) = 180 - 75

X + (3x + 5) = 105

X + 3x + (5-5) = 105 - 5

(1) x + 3x = 100

4x = 100

4x/4 = 100

X = 25

7. The 2 angles shown in the picture add up to 180º & are supplementary.

So:

x + (2x - 21) = 180

Solve for x:

X + (2x [-21 + 21]) = 180 - 21

(1)x + 2x = 159

3x = 159

3x/3 = 159/3

X = 53.

Sorry for the late response.

hope this helps & have a great rest of your day!

4 - 3 2/10g = 9 1/2
solve for the variable.

Answers

Answer:

you add then add again

Step-by-step explanation:

culture

CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!

Answers

no because you wouldn't switch the fraction upside down to make it opposite.

Answer:

What Doug probably means to say is that the reciprocal of -2/5 is 5/-2. So, by this definition, Doug would be correct. However, you would not usually call it the "opposite" of a number, rather, the reciprocal.

The numbers are reciprocals of the other as their product is equal to one "-2/5 * 5/-2 = 1"

given the following in a right triangle the hypotenuse is 200 cm and one of the legs is 45cm what is the lenght of the other leg

A: 194.9 cm
B: 12.4 cm
C: 155 cm
D: 245 cm

Answers

Step-by-step explanation:

Hence the length of other side is 194.87 I.e.194.9 cm

I NEED YOUR HELP PLEASEE !!

Answers

Answer:

I think it is the right triangle

I think it might be the right triangle

Write the equation of the line in fully simplified slope-intercept form?​

Answers

Answer:

ok

Step-by-step explanation:

Answer:

y=-1/2x-1

Step-by-step explanation:

PLEASE HELP QUICKLY!!


Lins second pan has a volume of 15 cubic inches, a length of 8/3 inches, a width of 15/4 inches. What is the height of the second pan? Explain your reasoning

Answers

Step-by-step explanation:

I might be think it is 7/1 hope this helps

Find measure of angle PQS

Answers

Answer:

ANGLE PQS = 45°

Step-by-step explanation:

angle SRT = 180 - 70 = 110

thus angle QSR = 180 - 20 - 110 = 50

BY Angle sum property

angle PQS = 180 - 85 - 50 = 180 - 135 = 45

Answer:

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Step-by-step explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°

hello pls help besties (o˘◡˘o)

Answers

Hello bestie I cannot help you
21 or 69

Louis Partridge
Draco Malfoy
Blaise Zabini
Etc....

Pls i gat no idea :/

Answers

Answer:

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius of the circle and (h,k) is the coordinates of the center of the circle. We can see that the radius is 3 units and we are given the location of the center as (-3,1) so

(x+3)^2+(y-1)^2=9

6. Petra visited the Empire State Building, which is approximately 1454 ft tall. The
scale of the model she bought is 1 in = 200 ft. What is the height of the model in
inches?

Answers

Answer:

Below.

Step-by-step explanation:

1454 / 200

= 7.27 inches.

Select the graph of the quadratic function g(x) = 1/4x^2. Identify the domain and range

Answers

Graph b
The domain is (-inf,inf)
The range is [0, inf)
Hope this helps!

Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Equation of a line

The equation of a line in point-slope form is expressed as:

y = y1 = m(x-x1)

Given the following

Slope m = 2

(x1, y1) = (0, 4)

Substitute

y - 4 = 2(x- 0)

y -4 = 2x

y = 2x + 4

Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Learn more on equation of a line here: https://brainly.com/question/18831322

Hello! I need some help figuring out what I did wrong here. I understand for the most part but I messed up somewhere. Work would be nice so I can visually see the right process!! ​

Answers

I think what’s happened is that you might have solved wrong x=... is not 8 cause 6x9 = 54 rounded 50 or 6+9= is only 15 rounded 16

Answer:

x= 11 (nearest whole number)

Step-by-step explanation:

Please see the attached picture for the full solution.

Hayley took a total of 9 quizzes over the course of 3 weeks.After attending 7 weeks of school quater,how many quizzes will hayley have taken in total

Answers

Answer:

21 quizzes

Step-by-step explanation:

3 quizzes per week 9÷3=3

7 weeks = 3×7 so 21 quizzes

Answer:

21 quizzes

Step-by-step explanation:

What we know:

- Hayley takes 9 quizzes in 3 weeks

What we want to find:

- The number of quizzes Hayley would've taken after 7 weeks

We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:

9÷3=3

Therefore, every week, Hayley takes 3 quizzes.

Now, we multiply 3 by 7:

3×7=21

Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.

I hope this helps!

what is the answer to 2x - 20°

Answers

The answer is 10 i think

Answer:

so 10

Step-by-step explanation:

2−20

Grouping

1

Common factor

2−20

2(−10)

Solution

2(−10)

Will give Brainly list

Answers

Answer:

7 and 8 im pretty sure...

Step-by-step explanation:

sorry if its wrong..

B. Angles 1 and 2

Complementary angles are two angles that add up to 90 degrees, and Adjacent angles are two angles that are next to each other.

Out of the angles given angles 1 and 2 are the most likely answer, given their shape. (See picture below)

Have a beautiful day.

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice?"

what fraction repsents 0.64​

Answers

Answer:

64/100 = 16/25

Answer:

0.64 in fraction

= 64/100 = 16/25

because each decimal equal to one zero

hope it helps

Find the degree of the monomial. -4/9​

Answers

Answer:

(=3+2) .

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .

I agree with him/ her

At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students were taken by car?


150
170
200
225

which one ^

Answers

1/4 or 25% were taken by car of the 600
600 x .25 = 150
150 is the answer

what is -4/5x-2=18 what is x help quick

Answers

Answer:

If I'm right x= -25

Step-by-step explanation:

Answer:

x=-25

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest

WHAT DO I HAVE TO DO TO GET HELP WITH MY MATH?!?!?! 0LEASE SOMEONE PLEASE HELP ME WITH MY MATH ILL DO ANYTHING​

Answers

Answer:

GIVE ME UR QUESTIONS PLS!!!!

Which of the following does not have any dimension?
Question 7 options:

A)

Line

B)

Ray

C)

Line segment

D)

Point

Answers

Answer:

D

A point has a dimension of 0.

Hope this helped!

It’s point a line and a line segment and ray have a dimension of 1 :)

I need help
Please i dont get this

Answers

opposite angle, so try 6
i’m not too sure sorry
hope that helps xxo

SOMEONE HELP PLS i mark the brainliest

Answers

Answer:

Step-by-step explanation:

UWV is a 30°-60°-90° triangle.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2

The length of the side opposite the 90° angle is 10,

so the length of the side opposite the 30° angle is 5

and the length of the side opposite the 60° angle is 5√3

A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?



1 over 12
1 ninth
3 sevenths
3 forth

Answers

Answer:

c wich is sevenths

Step-by-step explanation:

The probability the teacher that chooses a girl to write the date on the board is :

C) 3 sevenths.

"Probability"

Given:

Boys =12

Girls =9

Total number of students = 12 + 9 = 25.

So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]

This is close to 3 sevenths.

Learn more about probability:

https://brainly.com/question/25870256

a pair of boots were $45 they were on sale for $38.25 what percent were they off

Answers

Answer:

15% off

Step-by-step explanation:

Answer:

17.2% off

Step-by-step explanation:

45/100 = 0.45

0.45 x 38.25 = 17.2%

When a standard die is rolled, find the probability of getting a. 5 b. A number larger than 2 c. An odd number.

Answers

Answer:

P(getting a 5)=[tex]\frac{1}{6}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When a standard die is rolled, we get sample space as {1,2,3,4,5,6}

So, let's use formula

P(E)=[tex]\frac{outcomes favorable to event E}{Total number of outcomes}[/tex]

For part A:

Event is getting a 5.

So, out of 6 samples , we get one 5 as outcome

So,

P(getting a 5)=[tex]\frac{1}{6}[/tex]

For part B:

The numbers larger than 2 are {3,4,5,6}

So, p(number larger than 2)=[tex]\frac{4}{6} =\frac{2}{3}[/tex]

P(number larger than 2)=[tex]\frac{2}{3}[/tex]

For part C:

The numbers which are odd are {1,3,5}

So, p(numbers which are odd)=[tex]\frac{3}{6 } =\frac{1}{2}[/tex]

P(numbers which are odd) =[tex]\frac{1}{2}[/tex]

Describe the transformation of f(x) = sin x to g(x) = sin x - 17 ?

Answers

Answer:

f(x) underwent a downward vertical translation to get g(x)

Step-by-step explanation:

here, we want to describe a transformation

Looking at the two equations, we can notice that the difference between the two is the -17

Practically, we have this difference as 17 subtracted from the second equation

what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph

Y=4x^2+14x+6 factor the polynomial

Answers

Answer:

4 x 2 + 14 x − 6 p  -4x2+14x-6p

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