Which two of the following numbers are rational?

​1/3
.10


√2

Answers

Answer 1

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.


Related Questions

Please help!!! I will mark brainliest

Answers

Answer:

option 2...........…..

Use substitution to solve the
following system of equations.
9x + 5y = 32 AND y = -3x + 4

Answers

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10

PLEASE HELP AND HURRY!

The front of the home is being painted, not including the door the door measures 9ft by 2ft how many square feet will be needed

IGNORE THE WRITING

Answers

Answer:

ANSWER BELOW

Step-by-step explanation:

If the door is 9 x 2 ft (18 sq ft):

12 x 18 = 216 sq ft. (Front face including the door)

216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)

For the roof, the formula is h b/2:

So if the height is 4 and the base is 18, the area of the roof is 36.

To find the total area, you must add the area of the front face and the roof (without the door).

198 + 36 = 234 sq ft

Have a wonderful day my friend!

Answer:

i only answered so you could give the other person brainliest.

Step-by-step explanation:

Yea.

WILL MARK BRAINLIEST IF RIGHT !
A car rental company offers two plans for renting a car
Plan A: 30 dollars per day and 12 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

Answers

Answer:

Here you go

Step-by-step explanation:

It depends on how many miles they plan to drive as to which would be the better deal. Is there more context to the question?

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units. What is the perimeter of the rectangle in terms of x?

Answers

Answer:

(10x-2) units

Step-by-step explanation:

The perimeter of a rectangle is 2*length+2*width.

2(3x-4)+2(2x+3)

=6x-8+4x+6

=10x-2

The perimeter of a rectangle is ( 10x - 2 ).

Here,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

We have to find the perimeter of a rectangle.

What is the perimeter of a rectangle?

The sum of two times of length and width is called the perimeter of a rectangle.

Now,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

Since, The perimeter of a rectangle = 2 (length + width)

Hence, The perimeter of a rectangle = 2(3x - 4 + 2x + 3)

                                                         = 2 (5x -1)

                                                         = 10x - 2

Therefore, The perimeter of a rectangle is ( 10x - 2 ).

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a square has an area of 1 square unit what is the length of the square

Answers

Answer:

1

Step-by-step explanation:

Help.Help.Help.Help. Km doing a test so I need the answer quickly
The sim of two consecutive off integers is 72. Find the numbers

Answers

Answer:

x + (x+2) = 72

2x + 2 = 72

2x = 70

x = 35

The two odd numbers are 35 and 37.

The number that lies between is 36.

Step-by-step explanation:

what fraction of an hour is 32 minutes
Give your answer in its simplest form

Answers

Answer:

32/60

Step-by-step explanation:

Answer:

i think the answer would be 0.533

Step-by-step explanation:

i hope its right

someone help please

Answers

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

Find the indicated probability
A class consists of 63 women and 67 men. If a student is randomly selected, what is the probability that the student is a woman?
ОА.
1
130
ОВ.
67
130
ОС.
63
67
OD
63
130
is this right ?

Answers

Answer:

the chance that he pick a woman student is 67/130 or 51.5 %

URGENT HELP PLEASE

The work of a student to solve the equation 2(3x - 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x - 4) = 8 + 2x + 4
Step 2: 5x - 6 = 12 + 2x
Step 3: 5x – 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step? (5
points)

Answers

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

right answer = gets brainliest

Answers

Answer:

4.   12c(3a^5b - 1)

Step-by-step explanation:

Greatest common factor of 36 and 12: 12

There are variables a^5b on left term but not on right term, so there is no common factor of a or b.

Greatest common factor of c and c: c

Common factor: 12c

36a^5bc / 12c = 3a^5b

-12c / 12c = -1

Answer: 36a^5bc - 12c = 12c(3a^5b - 1)

What’s the answer?!!!!!

Answers

Answer:

yes

because it has length, side and base

Answer:

No

Step-by-step explanation:

If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:

Perpendicular² + Base² = Hypotenuse²

{hypotenuse is the longest side in a right-angled triangle}

LHS : Perpendicular² + Base²

(15)² + (10)² = 225 + 100 = 325

RHS : Hypotenuse²

(17)² = 289

LHS ≠ RHS

Does not satisfy pythagoras theorem

So the triangle is not right angled

find the radius, diameter, circumference, and area of this circle. ​

Answers

Answer:

Area of circle = 28.28 unit²

Radius of circle from center point = 3 units

Diameter of given circle = 6 units

Circumference of circle = 18.85 unit

Step-by-step explanation:

Given:

Circle in third quadrant

Radius of circle from center point = 3 units

Diameter of a circle = 2 x Radius of circle

Diameter of given circle = 2 x Radius of circle from center point

Diameter of given circle = 2 x 3 units

Diameter of given circle = 6 units

Circumference of circle = 2πr

Circumference of circle = 2(22/7)(3)

Circumference of circle = 18.85 unit

Area of circle = πr²

Area of circle = (22/7)(3)²

Area of circle = 28.28 unit²

Which are the correct measures for WXZ, UZY, and VYX?

Answers

Answer:

UZY

Step-by-step explanation:

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 9. What is the probability that a randomly
selected male's systolic blood pressure will be less than 100, to the nearest
thousandth?

Answers

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= [tex]N(\frac{100-105}{9} )[/tex]

= [tex]N(\frac{-5}{9} )[/tex]      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  [tex]N(\frac{-5}{9} )[/tex]      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

Find out more information about probability here

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On a given day, eight rabbits, 12 mice, and four snakes are present on the mountain range. If each animal is equally likely to be caught and consumed, what is the probability that the wolf will eat two rabbits?

Answers

Answer:

7 / 69

Step-by-step explanation:

Rabbit = 8

Mice = 12

Snake = 4

Total = (8 + 12 + 4) = 24

If each animal has equal probability of being caught ;

Probability of catching a rabbit ;

Number of rabbits / total number of animals

P(catching 1 rabbit) = 8 / 24 = 1/3

P(catching 2nd rabbit) :

Number of rabbits left = 8 - 1 = 7

Total number of rabbits = 24 - 1 = 23

Hence, P(catching 2nd rabbit) = 7 /23

Probability of catching two rabbits :

1 /3 * 7/ 23 = 7 / 69

hey there, can help me to solve this

what is the value of x, if

[tex]x = \cos {}^{2} (60) + \sin {}^{2} (60) [/tex]

Answers

Answer:

may be the answer is 120

yooo help me i need help on ixls no cap

Answers

Answer:

131°

Step-by-step explanation:

(disclaimer this isn't necessarily right, please don't come at me if this is wrong)

So the only we have is the measurement of angle H, which is 49°. So we're going to assume that they're all equal, cause I don't know what else to do, so:

180° - 49° = 131°

So, I think that angle F is 131°

hope this is right and helps:)

NO LINKS PLEASE

what fraction is greater than 3/5 and less than 3/4 and has a denominator of 20?

Answers

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

NO LINKS PLEASE. NEED REAL ANSWER AND EXPLANATION. THANKS!

Answers

Uhhh ur screen is blurry..post it again and I’ll answer it

Geometry is the measurement of the physical world around you, it has so many applications. Think about an architect, why would geometry be important for anyone in that profession?

NEED HELP ASAP!!!!

Answers

Answer:

Geometry helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself. Geometrical tools like the protractor, ruler, measuring tape, and much more are used in construction work, astronomy, for measurements, drawing

Step-by-step explanation:

Can you answer this and explain ​

Answers

Answer:

600g chopped tomatoes, 450ml stock, 390ml red wine

Step-by-step explanation:

You need to divide the 3 ingredients by the minced beef to see the unit rate. ex. 800/400 = 2, 2 x 300 (current amount of minced beef) = 600.

EMERGENCY!!!!!!!! I need help right now please

Answers

Answer:

50 Degrees

Step-by-step explanation:

Since they already have 40 degrees for you, and a little square means a right angle (90 Degrees), then 40 + 90 is 130. The interior angles of a triangle always add up to 180, so 180 - 130 is 50. The answer is therefore 50 degrees.

Hi! Please explain how you got the answer! Thank you! :) ​

Answers

Answer:

(b) 6

Step-by-step explanation:

if n=5 and m=6

[tex] {6}^{2} - {5}^{2} \\ 36 - 25 = 11 \\ \\ 6 + 5 = 11[/tex]

11 less than 12

11 is greater than 10

The answer is B

Which is 6

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

Answers

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

(06.01)The scatter plot shows the relationship between the number of homework assignments turned in over a week and the test score for that same week:

art A: What is the group of points labeled X called? What is the point labeled Y called? Give a possible reason for the presence of point Y.
Part B: Describe the association between a student’s test scores and the number of homework assignments submitted.

Answers

Answer:

a: positive association, the y point is called a deviation

b: looks like the student scores are positive pattern (well accept for that little guy ..little y...)

Step-by-step explanation:

a reason: if you were to draw a line through those points it would be positive linear correlation and that one plot had nothing to do with the correlation

In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Graph is given in relation of test score with student home work assignment. Relationship and association of the graph to be determined.


What is correlation?

Correlation implies that one of the subject or value related to other subject or value.


Here, from the graph the sets of value of x is increasing and having positive association. Other side y has only single value in it showing as deviation and nothing else.


Thus, In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Learn more about correlation here:
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Solve this equation: x + 1 < 5

Answers

Answer:

x<4

Step-by-step explanation:

simple linear inequality

x+1<5

add -1 to both side of the inequality

x+1-1<5-1

x<4

A square is attached to a semicircle to make the figure shown in the diagram below .
if the radius of the semicircle is 4 meters ,what is the aproximate area of the figure .

Answers

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.

Estimate 349.6-112.8

Answers

Answer:

349.6 - 112.8 = 236.8

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

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