A coin is flipped 5 times. What is the total possible outcomes or sample space for this event?

Answer: c. 60

Each interior angle = 720/6 = 120°.

When the hexagon is extended create an exterior angle, its measure is given by;

x + 120 = 180°.

x = 180° - 120°

x = 60°

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Step-by-step explanation:

T = 55 + 6w

after 8 week $103

Step-by-step explanation:

Topic :- Percentage Increase

= Cost price × Rate/one hundred

⇒ 34.90 × 9/100

⇒ 314.1/100

⇒ 3.141

Therefore, the sale tax of the elephant would be $3.141

Answer:

3.15

Step-by-step explanation:

33 √3 is the length of segment KL.

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Tanθ = Perpendicular / Base

In the above ΔKJL

According to ∠J,

KL = Perpendicular

KJ = Base

⇒Tan 60° =  KJ/KL

⇒Tan 60° =  KJ / 33

⇒KJ = Tan 60° × 33    [ Tan 60°= √3 ]

⇒KJ = √3 × 33

⇒KJ = 33√3 m

Hence, 33 √3 is the length of segment KL.

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Answer:

Step-by-step explanation:

\(\frac{275}{8}=34,375\)

4/5 is a real number.

A real number is a value in mathematics that expresses a quantity along a continuous line. Real numbers can be expressed as fractions or decimals and can be positive, negative, or zero.

4/5 is a rational number in this situation, which is a form of real number that may be written as a ratio of two integers. A real number can also be irrational, which means that it cannot be stated as a ratio of two integers and that its decimal representation goes on indefinitely without repeating.

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Answer:

x at 1

Step-by-step explanation:

There is a corner at 1 making the function not differentiable

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

Answer:

9 pints

Step-by-step explanation:

there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.

16 ÷ 2 = 8

9 is greater than 8, so 9 pints.

The correct option is B, the coordinates of the image A' are (3, -4)

So we start with point A (5, 4), and we apply a rotation of 90 degrees clockwise about (0, 1) to make the image A'.

We want to find the coordinates of A', so we can follow the steps:

Translate the coordinates so that the given point becomes the origin (0,0).

Subtract the x-coordinate of the given point from the x-coordinate of point A, and subtract the y-coordinate of the given point from the y-coordinate of point A:

A' = (5 - 0, 4 - 1) = (5, 3)

Perform the rotation.

To rotate a point 90 degrees clockwise, we swap the x and y coordinates and negate the new y-coordinate:

A' = (3, -5)

Translate the coordinates back to the original position.

Add the x-coordinate of the given point to the x-coordinate of point A', and add the y-coordinate of the given point to the y-coordinate of point A':

A' = (3 + 0, -5 + 1) = (3, -4)

Therefore, the coordinates of point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

The correct option is B.

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The entire house is 24 1/3 feet tall and attic is 7 feet tall.

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

Given:

Maddy's house has two stories and an attic.

The first floor is 8 5/6 feet tall.

The second floor is 8 1/2 feet tall.

The entire house is 24 1/3 feet tall.

So, the height of the attic,

= height of the entire house - ( height of the first floor + height of the second floor)

= 24 1/3 - (8 5/6 + 8 1/2)

In order to simplify the equation,

converting mixed fraction to improper fraction,

we get,

= 73/3 - 53/6 - 17/2

= 42/6

= 7 feet.

Therefore, the height of the attic is 7 feet.

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Answer:

im not 100% sure what your asking, but They do both have equal parts. because 4/8 is equal to 2/4

Step-by-step explanation:

Part 1

Angles of a quadrilateral add to 360 degrees.

\(7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15\)

Part 2

If \(x=15\), then \(7x=105^{\circ}\). Thus, the angles measuring \(7x\) and \(105^{\circ}\) are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring \(65^{\circ}\) and \(85^{\circ}\), are also opposite using the process of elimination.

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

25.1333 per second

Step-by-step explanation:

1508 per min

Answer: 31

Step-by-step explanation:

To find the distance, find the difference between the number.

23 - (-8) = 31     So the distance is 31  units.

Note: To go from -8 to 23   you will have to add 31 to -8  and to go from  23 to -8 you will have to subtract 31 so the distance is 31

The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.

According to the question,

We have the following system of equations:

x+y = 3 .....(1)

4x-y = 7 ....(2)

Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.

We can solve these equations by adding as follows:

x-y+4x+y = 3+7

5x = 10

x = 10/5

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

2+y = 3

y = 3-2

y = 1

Hence, the correct option is B.

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Answer:

47.5

Step-by-step explanation:

38/80x100%=47.5

Answer:

47.5%

Step-by-step explanation:

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 80 = 1.25

ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.

We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:

38/80 = 0.475

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.475 x 100 = 47.5%

And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

Answer:

62.5 miles per hour

Step-by-step explanation:

All you have to do is divide 250 miles by 4 hours, to get the unit rate of miles per hour. I hope this helps :)

The two positive numbers are 55, and 55.

Given that,

Two positive numbers whose product is a maximum and whose sum is 110.

To Find :  Two positive real numbers with a maximum product whose sum is 110.

x + y = 110

x = 110-y

Area = xy = (110-y)y

A = 110y-y^2

Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55

x + y = 110

x + 55 = 110

x = 55

and y is also 55.

Therefore, the two positive numbers are 55, and 55.

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The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:The value of x is 4.

Step-by-step explanation:

Given : Expression  .

To find : Solve for x ?

Solution :

Applying exponential property,  

Comparing the base,

Step-by-step explanation:

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Answer:

13

Step-by-step explanation:

input is X

and output is Y

if the input is 4, then we need to plug in x=4

we get

y=3*4 + 1 = 12+1=13

Answer:

13

Step-by-step explanation:

If you plug in 4 for x (the input) and do the math. 3x4 is 12 then 12+1 is 13

The solution of the corresponding system of linear equations is: (X1, X2, X3, X4) = (-9s, 10s, -4s, t).

The reduced row echelon form of the matrix is:

1 0 0 -9

0 1 0 10

0 0 1 -4

0 0 0 0

This tells us that the system of linear equations has the following solution:

X1 = -9X4

X2 = 10X4

X3 = -4X4

The system is dependent, so we assign the free variables the parameters s and t:

X1 = -9s

X2 = 10s

X3 = -4s

X4 = t

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