a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?

The product of a rational number and an irrational number is an irrational

number.

The correctly completed proof is presented as follows;

To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].

The right side of the equation is irrational, because the left side of the

equation is irrational, this is a contradiction.

Therefore, the assumption is wrong and the number 4·π is irrational.

Reasons:

The proof is presented as follows;

With the assumption that 4·π is rational, we have;

[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]

Where;

b ≠ 0

Making π the subject of the above formula, by isolating, it, we have;

[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]

The right side of the equation is rational, however, the left side of the

equation π is irrational, which results in a contradiction, therefore, the

product 4·π is an irrational number.

Learn more about irrational numbers here:

https://brainly.com/question/1625874

Answer:

Answer:

400

Step-by-step explanation:

i think

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Answer:

90,000

Step-by-step explanation:

3750ml/hr *24 hrs

Therefore, A leaking tap will waste 90000 ml in a day.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Answer:

#1= 5

#2= i think it's a red square

#3= 243

Step-by-step explanation:

ok so im rlly sorry but i think i can only solve 1 2 and 3:

for #1:

the pattern is subtracting 1,2,3,4 each time it goes to the next number.

29-28=1

28-26=2

26-23=3

23-19=4

19-?=5

?=14

19-14=5

so answer would be 5

for #2:

the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.

so with it continuing on, it would be red square

for #3:

the pattern looks like they're multiplying by 3 each time:

3x3=9

9x3=27

27x3=81

81x3=?

?=243

81x3=243

so the answer would be 243

hope this helped :)

Answer:

y intercept= 12

x intercept = 4

Step-by-step explanation:

It is just one interception because the equation is linear

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

Answer:

y=4x+5

Step-by-step explanation:

4x^2 + 2x - 4

Hope this helps

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

Answer:

y=-1/2x+3

Step-by-step explanation:

Step-by-step explanation:

Subtract x both sides

2y = 6 + (-x)

Divide by 2 both sides

y = 3 + (-1/2x)

y = -1/2x + 3

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

Answer:

6/7

Step-by-step explanation:

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

Answer:

Step-by-step explanation:

16x + 8y = 20.88

12x + 4y = 13.40

Solve for x and y

x is the cost of 1 pen

Answer:

Real number

Step-by-step explanation:

Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real

Answer:

real number

Step-by-step explanation:

Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1

If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.

I hope this helps!

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

Learn more about trigonometric ratio here:

https://brainly.com/question/14421002

https://brainly.com/question/8514165

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width