the area of a square is 400 units. if the length of each side of the square increased by one unit, would its area be a rational number

Answers

Answer 1

Answer:

Yes, the area of the square would be a rational number.

Step-by-step explanation:

Area of square = 400 units² = x²

x = one side length of square

x = √400 = 20 units

Increase each side length by 1 unit.

New side length = 21 units

Area of new square = 21² = 441

441 is a rational number because the square root of 400 is a rational number.

√400 = 21

Therefore: If the length of each side of the square increased by one unit, the area of the square would be a rational number. The area of the square would still be a perfect square.


Related Questions

[tex]\sf 7-5x=-43[/tex]

Answers

Answer:

[tex]\sf\longmapsto \: x = 10[/tex]

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]

[tex]\sf\longmapsto \: x = 10[/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

x=10

Step-by-step explanation:

[tex]7-5x=-43[/tex]

[tex]7-5x-7=-43-7[/tex] Subtract

[tex]-5x=-50[/tex]

[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide

[tex]x=10[/tex]

will mark as brainliest if correct, 20 points

Answers

Answer:

D. [tex]4\frac{1}{16}[/tex]

Step-by-step explanation:

Substitute the given value into the function and solve.

D 4/16 is the answer pls give brainliest


HELP

Which expression should appear on Line 3?

800 + 24 + 12

800 +240 + 12


800 + 600 + 12

80 +240 + 12

Answers

Answer:    800  +   240  + 12  

Step-by-step explanation:

Line 3 = (200 × 4) + (60 × 4) + (3 × 4)      [multiply the terms in the brackets]

          =  800  +   240  + 12  

Answer:

Refer to the attachment

Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?

Answers

Answer:

he is correct bc the pattern correct

Step-by-step explanation:

I need help very bad

Answers

Answer:

3

Step-by-step explanation:

[tex]y - 3 = n(x - 5)[/tex]

[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]

[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]

If (a + b)^2 = a^2 +n + b^2 , what is n?​

Answers

Answer:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]

if (a+b)^2=a^2+n+b^2, n= 2ab

If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???

Answers

Answer:

y=3x-4

Step-by-step explanation:

Help! evaluate this number

Answers

Answer:

-12×3 = -36.............

65% of 51. Please also show me how to do it because I can't.

Answers

Answer:

Step-by-step explanation:

65% of 51 = [tex]\dfrac{65}{100}*51[/tex]

                = 0.65 *51

                = 33.15

if sin x equal to a/b
what is sin(90-x)​

Answers

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ6

express ratio as a fraction in simplest form

a. 10 yards to 10 feet

hint *there are 3 feet in every 1 yard​

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?

Answers

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

i need the answer to f(x)=2x+3

Answers

I don’t really know what you mean here but i guess you mean f(x)=2x+3=0

In that case:
F(x)=2x+3=0
Subtract 3 from both sides:
F(x)=2x=-3
Divide both sides by 2:
F(x)=x=-3/2.

For brainily please help

Answers

Answer:

Yes

Step-by-step explanation:

you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?

Answers

Answer:

im not sure on how to answer that

Step-by-step explanation:

I need help to fill in the blank for how to solve the equations with the brackets.

“When you see the brackets inside an equation, you’ll need to get rid of the brackets (to access the terms inside), which means you’ll need to ______________ the equation.”

What word is missing that goes with the math statement?

Answers

Answer:

take out or aluminate i think

Step-by-step explanation:

The tape diagram represents an equation.

Answers

Answer:

y² = 7

Step-by-step explanation:

Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help

Answers

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

Choose the algebraic expression that matches the word phrase below.

the quotient of x and 10

Answers

Answer:

x ÷ 10

..,.................

Can someone pls help me

Answers

Answer: help what?????

Step-by-step explanation:

Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?

Answers

24 minutes because if you find the unit rate of how long one truck takes it’s around 2 minutes then multiply it by 9 you have your answer

I got ace in a week i felt so happy i wanna give someone branliest

2+2

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 equals 4 lmk if you need more help

Answer:

4

Step-by-step explanation:

QUESTION 12
Maria bought 6 books for a total of $360.00. Math books cost $80.00 and science books cost $50.00. How many science books did she buy? Your
answer should be a number only.

Answers

Answer: 4 science and 2 math books

Step-by-step explanation:

Let M and S stand for the numbers of math and science books.

We know that M+S = 6 books

and M*80 + S*50 = $360

Rearance the first: M = 6-S

Use this definition of M in the second equation:

(6-S)*80 + S*50 = $360

480-80S + 50S = 360

-30S = - 120

S = 4

Use S=4 in the first equation (M=6-S) to find the number of math books, 2.

Check to see if there number work:

4*($50)= $200

2*($80)= $320160

Total is $360. It works.

Is it possible to list all the fractions between 2 and 3? Explain.

Answers

Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =​

Answers

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).

Answers

Answer:

1/3

Step-by-step explanation:

gradient or slope = m

m = change in y ÷ change in x

= (-4 - -2) ÷ (-3 - 3)

= (-4 + 2) ÷ (-3 - 3)

= -2 ÷ -6

= 1/3

ive answered a and b but struggling to answer c. how do you work it out?

Answers

Answer:

-2, 1.5

Step-by-step explanation:

(y1 + y2)/2 = y midpoint formula

so, (-1 + 4) = 3

3 / 2 = 1.5

y = 1.5

Step-by-step explanation:

To find the midpoint:

Use the formula;

d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4

Substitute the values into the equation above. This gives;

d = (-2 + -2)/2, (4 + -1)/2

= (-4/2), (3/2)

=(-2, 1.5) <<<<<<< Ans

I hope this helps. Thank you

Type the correct answer in the box.


Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.


(x',y')=______

Answers

Answer:

The answer is = (x',y')=(-x,-y)

Step-by-step explanation:

= (x',y')=(-x,-y)

What is 180 clockwise?

Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.

Rule of 180° Rotation

If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).

Please check the attached file for a detailed answer.

Learn more about the origin to create rectangles at

https://brainly.com/question/17548952

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Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

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