Which statement explains why √2 is an irrational number?

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]3.14(6x)^{2} \\ \\ = 3.14 \times 36 {x}^{2} \\ \\ = 113.04 {x}^{2} \\ \\ [/tex]

Answer:

79716.98

Step-by-step explanation:

Slope is defined as (y2-y1)/(x2-x1)

"A" gives a slope of (10-6)/(-4-(-1))=4/-3=-4/3

Hope this helped

The point pair establishing a line with a slope of -4/3 is  (-1, 6) and (-4, 10). which is the correct answer would be an option (A).

The slope of a line is defined as the gradient of the line.

To determine the slope of a line, we can use the formula: slope m = (y₂ - y₁)/(x₂ -x₁ )

Using this formula, we can calculate the slope for each of the pairs of points given:

A) (-1, 6) and (-4, 10):

slope = (10 - 6)/(-4 - (-1)) = -4/3

B) (6, -1) and (-4, 10):

slope = (10 - (-1))/(-4 - 6) = -11/10

C) (-1, 6) and (10, -4):

slope = (-4 - 6)/(10 - (-1)) = -10/11

D) (6, -1) and (10, -4):

slope = (-4 - (-1))/(10 - 6) = -3/4

Therefore, the pair of points that defines a line with a slope of -4/3 is (-1, 6) and (-4, 10).

Learn more about the Slope of Line here:

brainly.com/question/14511992

#SPJ2

Answer:

x = (150/360)(2π) = (5/6)π

Answer:

formula for sum of interior angles is (n-2)*180 - for a regular polygon

divide that by the number of sides

so 6-2 = 4*180 =720 degrees

720/6 = one angle(angle a) =120

Answer:

D. 120 degrees.

Step-by-step explanation:

We nee to find the measure of the interior angle in a regular hexagon.

The exterior angle = 360 / 6 = 60 degrees.  ( In all convex polygons the sum of the exterior angles = 360 degrees).

So α = 180 - 60 = 120 degrees    (adjacent angles add up to 180 degrees).

Answer:

Average = 96

Step-by-step explanation:

Average = sum of terms/ number of terms

sum of terms = number of burgers sold

number of terms = number of visitors

d =  number of days since Monday which is 7

burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7

burgers sold = 200(7)³ +542(7)² + 179(7) +1605

burgers sold =68600 + 26558 + 1253 + 1605

burgers sold =98016

number of visitors= 100d + 321

number of visitors= 100(7) + 321

number of visitors= 700+321

number of visitors= 1021

Average = 98016/1021

Average = 96

Answer:

y = [tex]\frac{1}{8}[/tex] x - 3

Step-by-step explanation:

Use the midpoint formula

Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (9, - 7), thus

midpoint = [ [tex]\frac{1}{2}[/tex] (7 + 9), [tex]\frac{1}{2}[/tex] (3 - 7 ) ] = (8, - 2)

-----------------------------------------------------------

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - 6 = 2y into this form by dividing all terms by 2

y = [tex]\frac{5}{2}[/tex] x - 3 ← in slope- intercept form

with y- intercept c = - 3 ⇒ (0, - 3 )

-------------------------------------------------------------

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂, x₁ )

with (x₁, y₁ ) = (8, - 2) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3+2}{0-8}[/tex] = [tex]\frac{-1}{-8}[/tex] = [tex]\frac{1}{8}[/tex]

y = [tex]\frac{1}{8}[/tex] x - 3 ← equation of line

Answer:

x = 26

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+7=8x−71

Step 1: Subtract 8x from both sides.

5x+7−8x=8x−71−8x

−3x+7=−71

Step 2: Subtract 7 from both sides.

−3x+7−7=−71−7

−3x=−78

Step 3: Divide both sides by -3.

−3x  / −3  =  −78  / −3

x=26

I hope this helps!

Brainliest is very much appreciated.. :}

Answer:

x=26

Step-by-step explanation:

5x-8x= -71 -7

-3x= -78

-3. -3

Answer:

The length of the diagonal x is  13.9 cm

Step-by-step explanation:

Given:

Side of the cube =  8 centimetres

To Find:

The length of the diagonal  = ?

Solution:

The  length of the diagonal is = [tex]\sqrt{3}a[/tex]

where a is the side of the cube

On substituting the values

Diagonal  x = [tex]\sqrt{3}(8)[/tex]

Diagonal x  =  [tex]1.73 \times 8[/tex]

diagonal x =  13.856

Diagonal  x  =  13.9 cm

Answer:

Step-by-step explanation:

The option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.

It is defined as the combination of constants and variables with mathematical operators.

We have a statement about the expression:

The expression is 5 times as much as the sum of r and s

We can frame the expression as follows:

= 5(r + s)

or

= (r + s) × 5

Thus, the option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

 [tex]Original\ length\ of\ square=10\ inches[/tex]

Step-by-step explanation:

Let the length of square [tex]=x\ inches[/tex]

[tex]8[/tex] inches is added one side of square

Then length of one side [tex]=x+8\ inches[/tex]

[tex]3\ inches[/tex] is subtracted other side of square

Then length of other side [tex]=x-3[/tex]

[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]

[tex]Original\ length\ of\ square\ =10\ inches[/tex]

Equation is y = 6x - 4

Step-by-step explanation:

⇒ m = (2 - -4)/(1 - 0) = 6

⇒ y = 6x - 4

The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.

In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.

To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.

The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.

https://brainly.com/question/22962752

#SPJ11

Answer:

(set up a ratio)

54/x = 18/100

(cross multiply)

18x = 5400

(solve for x)

x = 300 miles

Step-by-step explanation:

Answer:

2:25

Step-by-step explanation:

Answer:

Step-by-step explanation:

3:05

Answer:

Step-by-step explanation:

let x be the width.

length =  x +2

Perimeter = 36 ft

2*( x +2 + x ) =36

2x + 2 = 36/2

2x + 2 = 18

2x = 18 -2 = 16

x = 16/2

x = 8 ft

Width =  8 ft

Length = 8 + 2 = 10 ft

Answer:

b.) each side of the model is 15 feet long

c.) the model is proportional to the original hexagon

Step-by-step explanation:

A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?

a.) The model represents a reduction

b.) each side of the model is 15 feet long

c.) the model is proportional to the original hexagon

d.) one side of the model can be 8.5 feet long

e.) the scale factor is divided by 2.5 to get the dimensions of the model

Answer:

32 cm

Step-by-step explanation:

Radius=16 cm

Now

Diameter=2(radius)

Diameter=2(16)

=32 cm

32

Step-by-step explanation:

Cuz radius is half circle, so times that by 2 you get diameter

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Answer:

yes

Step-by-step explanation:

Answer:

no i believe its an irrational number

Step-by-step explanation:

Answer:52cm

Step-by-step explanation:

Your equation is unclear. Do you mean the following:

(15x+21)/3=5x+7 or 3(15x+21)=5x+7

If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.

The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.

The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.

https://brainly.com/question/25901675

#SPJ3

Answer:

One real solution (which is x = 2)

Step-by-step explanation:

8-4x = 0

8 = 4x

8/4 = 2

x=2

Can be solved with no different solution

From given,

Final solution is 260 liter

Let x be the liters of 40 % dye solution

Then, (260 - x) is the liters of 53 % dye solution

Therefore, according to question,

x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution

40 % of x + 53 % of (260 - x) = 50 % of 260

Solve for "x"

[tex]\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60[/tex]

Thus 60 liters of 40 % dye solution is used

Then, (260 - x) = 260 - 60 = 200

Thus 200 liters of 53 % dye solution is used

Answer:

Arc Length = 40

Step-by-step explanation:

Arc Length Formula:  S = rΘ

R = radius

Θ = Radians

Step 1:  Identify the radius and the radian angle

R = 8

Θ = 5 radians

Step 2:  Plug into the equation

S = (8)(5)

Step 3:  Solve

S = 40

Answer:  Arc Length = 40

Answer:

22.95

Step-by-step explanation:

Answer:

22.95

Step-by-step explanation:

the answer is A

Step-by-step explanation:

Answer:

A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118.  ☁︎✮

Step-by-step explanation:

Answer:

3x + 6 > x

2x > -6

x > -3

answer is d

Answer:

x > -3

Step-by-step explanation: