Help I want to convert decimal radian to fractional pi format radian

Eg: how to convert 0.785 rad to pi format

15

5 t = 30$

1t = 30/5

= 6$ per ticket

then, 90$/6 = 15 tickets

If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

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Answer:

9cm r=2x3x9= 54. Find the volume of the cube. Include units. 5cm ... Not to scale. Work out the volume of the prism. Area of front. 3x5=15. 3cm 4x8=32. 10cm.

Step-by-step explanation:

Answer:

  470 cm³

Step-by-step explanation:

You want the volume of a prism with an L-shaped base.

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

The base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.

The top rectangle is 4cm × 5cm, so has an area of ...

  A = LW = (4 cm)(5 cm) = 20 cm²

The bottom rectangle is 9 cm × 3 cm, so has an area of ...

  A = LW = (9 cm)(3 cm) = 27 cm²

Then the total base area is ...

  B = (top rectangle area) + (bottom rectangle area)

  B = (20 cm²) +(27 cm²) = 47 cm²

Then the volume is ...

  V = Bh = (47 cm²)(10 cm) = 470 cm³

The volume of the prism is 470 cm³.

The values of x, y and z are 74°, 37° and 17° respectively

What is Angles?

An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. Dihedral angles are these.

Given,

x°, (4z + 6)°, 2y° and 106°

Lets solve,

x° and 106°

From the co-interior  angle

x + y = 180°

x° + 106° = 180°

x = 180 - 106

x = 74°

by alternate exterior angle

x = 2y

Since we know about the value of x

we can write it as

74 = 2y

y = 74/2

y = 37°

Now by alternate interior angles

(4z + 6) = x

(4z + 6) = 74

4z = 74 - 6

4z = 68

z = 68/4

z = 17°

Hence, Value of x, y and z is 74°, 37° and 17° respectively

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The numbers would have to be added to complete the square is x = [tex]\frac{9+\sqrt{185} }{2}[/tex] and x = [tex]\frac{9-\sqrt{185} }{2}[/tex]

The quadratic equation is

[tex]x^2[/tex] - 9x - 26 = 0

Add both side of the equation by 26

[tex]x^2[/tex] - 9x - 26 + 26 = 26

[tex]x^2[/tex] - 9x = 26

[tex]x^2[/tex]  - 2(9/2)x = 26

Take the coefficient of x and take square of the term and add both side of the equation

[tex]x^2[/tex]  - 2(9/2)x + 81/4 = 81/4 + 26

Add the terms

[tex]x^2[/tex]  - 2(9/2)x + 81/4 = 185/4

Form the left side of the equation in the form of [tex](a-b)^2[/tex]

Then the equation will be

[tex](x-\frac{9}{2} )^2[/tex] = 185/4

x - 9/2 =± [tex]\frac{\sqrt{185} }{2}[/tex]

x =  [tex]\frac{\sqrt{185} }{2}[/tex] +  9/2

x = [tex]\frac{9+\sqrt{185} }{2}[/tex]

Then

x = - [tex]\frac{\sqrt{185} }{2}[/tex] +  9/2

x = [tex]\frac{9-\sqrt{185} }{2}[/tex]

Hence, the numbers would have to be added to complete the square is x = [tex]\frac{9+\sqrt{185} }{2}[/tex] and x = [tex]\frac{9-\sqrt{185} }{2}[/tex]

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The domain of the function shown on the graph is given by the following option:

B. All real numbers.

The domain of a function is the set composed by all the input values that are assumed by the function.

On a graph, the meaning of each variable is given as follows:

Hence, considering the graph of the function, the domain of the function is the set that contains all the values of x of the function.

From the image given at the end of the answer, the line continues to left and to right, meaning that it has no spaces in it's definition, and thus the function is defined for all real values and the correct option is given by option b.

The problem containing the graph of the function and the options is given by the image presented at the end of the answer.

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The solution set of the inequality |x-1| ≤ 5 is found to be [-4,6] by simplifying the inequality.

Given inequality is given as:

|x-1| ≤ 5

Simplifying this inequality we get,

-5  ≤  x-1  ≤ 5

Adding 1 on both sides, we get,

-5+1  ≤  x-1  ≤ 5+1

-4  ≤  x  ≤ 6

Therefore, the solution set of the inequality |x-1| ≤ 5 is found to be [-4,6] by simplifying the inequality.

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NOTE: The given question is incomplete on the portal. Here is the complete question.

QUESTION: What is the solution set of the inequality |x-1| ≤ 5?

The ratio of the distance the hare traveled to that of the tortoise is 9 : 2 and expressing it in the unit rate it will be 4.5 miles per miles

What is unit rate?

A unit rate is a cost for only one of anything. Unit rate is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Solution Explained:

For the ratio of the distance:
Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 315 and 70 is 35

Divide both terms by the GCF, 35:

315 ÷ 35 = 9

70 ÷ 35 = 2

The ratio 315 : 70 can be reduced to lowest terms by dividing both terms by the GCF = 35 :

315 : 70 = 9 : 2

Now, to express it as a unit rate

This is a fraction equal to

315 miles ÷ 70 miles

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 70

[tex]\frac{315}{70} / \frac{70}{70}[/tex]

= 4.5 miles per miles

Therefore, in unit rate the ratio of the distance the hare traveled to the tortoise is 4.5 miles per miles.

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Answer:

21.475 minutes  

(Rounded) 21 minutes

Step-by-step explanation:

T(t)  =  TA  + (T0 - TA)e^(-kt)

We know that after 12 minutes...

140  = 70  + ( 165 - 70)e^(-k* 12)    

1 ) Simplify and subtract 70 from both sides

70 = ( 95)e^(-12k)      

2 ) Divide both sides by  25

70/95  = e^(-12k)      

3 ) Take the Ln of both sides

Ln (70/95) =  Ln e^(-12k)    

and we can write  Ln (70/95)  = (-12k)  Ln e

[ Ln e  =1, so we can ignore this  ]

4 ) Divide both sides by -12

Ln (70/95) / -12  = k  ≈   .02545

So...

5 ) We want to find this  125  =  70  + ( 165 - 70)e^(-.02545t)

6 ) 55 = (95)e^(-.02545*t)

7 ) 55/95  =  e^(-.02545*t)      take the Ln of both sides

8 ) Ln (55/95)  = Ln e ^(-.02545 *t)

9 ) Ln (55/95)  =  (-.02545 * t)  * Ln e

10 ) Ln (55/95) = -.02545 * t    

11 ) Ln (55/95) / (-.02545)  = t  ≈ 21.475 minutes

12 ) If we are rounding then it would be 21 minutes

Hope this helps! :)

The probability that at least 1 of them is a universal donor 20.1%

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Mathematics' study of random events is known as probability, and there are four primary forms of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.

According to the given equation:-

The probability that at least one of every three is O-negative is 20.1%

Note that the question is unfinished. The following question is similar:

Type O-negative individuals can donate blood to anyone. In other words, O-negative blood can be transfused to any patient. Only 7.2% of Americans have blood that is O-negative. What is the likelihood that at least one of the ten Americans we randomly choose donating blood is a universal donor?

Detailed explanation:

7.2%, or 0.072, of the population has O-negative blood.

Probability of not being O-negative is equal to 1 - P(O-negative), which is 1 - 0.072, or 0.928.

Using the multiplication rule, calculate the likelihood that 10 persons are O-negative.

Probability that 10 is not zero = (P (not O-negative) ¹⁰ = (0.928) (0.928) ¹⁰ =0.4737

Therefore, the probability that at least one is O-negative is given by the formula: 1 - P(not O-negative) = 1 - 0.4737 = 0.5263.

P(at least 1 in 10 being O-negative) = 52.63% in percentage

to 3 arbitrary donors

likelihood of 3 not - (P) negative (not O-negative) ³ = (0.928) (0.928) ³ = 0.7991

As a result, the likelihood that at least 1 is O-negative is equal to 1 - P(3 not O-negative) = 1 - 0.7991 = 0.2009.

P(at least 1 out of 3 being O-negative) = 20.1% in percentage

Examine all related responses

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Answer:

Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.

The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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Certain figures are explained in both cases in perimeter as well as area,

to illustrate the examples of geometrical figures.

Geometrical shapes are  shapes that illustrates the shapes of different items. some figures have two dimensions, while others have three. Only the x and y axis are used for two-dimensional structure, whereas the x, y, and z axes are used for three-dimensional structures. The height of the object is displayed in the z-axis.

In Mathematics area and perimeter of certain figures are known,

Rectangle

Perimeter of a Rectangle = 2(a+b)

Area of Rectangle = a × b

Square

Perimeter of a Square = 4a

Area of a Square = a²

Triangle

Perimeter of a triangle = a + b +c , where a, b and c are the three different sides of the triangle.

Area of a triangle = 1/2 b × h; where b is the base and h is the height of the triangle.

Circle

Circumference of Circle = 2πr

Area of Circle = πr²

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i) The first term, a is 3 and the common difference, d, is 2

ii) The first term, a is 18 and the common difference, d, is -5

iii) The first term, a is 8 and the common difference, d, is 11

iv) The first term, a is -15 and the common difference, d, is -4

v) The first term, a is 4.5 and the common difference, d, is 0.8

From the question, we are to determine the first terms and the common differences of the arithmetic sequences.

The first term, a, is the first number in the sequence and the common difference, d, is the value of the difference between the second term and the first term.

That is,

Common difference = Second term - First term

i) 3, 5, 7, 9, ...

a = 3

d = 5 - 3

d = 2

ii) 18, 13, 8, 3, ...

a = 18

d = 13 - 18

d = -5

iii) 8, 19, 30, 41, ...

a = 8

d = 19 - 8

d = 11

iv) -15, -19, -23, -27, ...

a = -15

d = -19 - (-15) = -19 + 15

d = -4

v) 4.5, 5.3, 6.1, 6.9, ...

a = 4.5

d = 5.3 - 4.5

d = 0.8

Hence, the first term is 4.5 and the common difference is 0.8

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Answer:

Step-by-step explanation:

well 56^2 is 56*56, 56*56= 3136

1. 3136x-88x

2. 3048x+88x

1326 divided by 41 is equivalent to 32.35.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is 1326 divided by 41.

Assume that 1326 divided by 41 is equivalent to [x].

[x] = 1326/41

[x] = 32.35

Therefore, 1326 divided by 41 is equivalent to 32.35.

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[Question translation in english -

How much is the result of 1326 divided by 41.]

The probability  to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].

According to the statement

We have to find that the probability  to unlock the tablet on his first try.

For this purpose, we know that the

Probability is the the ratio of the number of outcomes to the total number of possible outcomes.

And

The desired outcomes is the 1 because only 1 password is the correct.

And the total outcomes is the

Nine-digit codes.so,

[tex]T=10^{9}[/tex]

Because For each digit, there are 10 possible outcomes.

And the probability is the

[tex]P=\frac{1}{10^{9} }[/tex].

So, The probability  to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].

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After solving the equation we get to know LHS = RHS

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

LHS

7 log(10/9) - 2log(25/24) + 3 log( 81/80)

= 7log{(2*5)/3²} - 2log{5²/ (2^3 *3)} + 3log{(3^4/(2^4*5)}

= 7( log 2 + log5 - 2log3) -2 (2log 5- 3log2-log3) + 3(4log3 - 4log2–log5)

= 7log2+ 7log5- 14log3 - 4log5 + 6log2 + 2log 3 + 12log3 - 12log2 - 3log 5

= (7log2+ 6log2 -12log2 ) + (7log5 - 4log5–3log5)

= 13log2 - 12 log2 + 3log5 - 3log5

= log2

= RHS

∴ LHS = RHS

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Answer:

68.21 and 39.79

Step-by-step explanation:

When it says that they are going to "share" it means that the number  (108) is going to be divided amongst the two of them. So you are going to do an addition problem which is 12+7=19. So you are going to do 12/19*108=68.21.  Then to find the second number it's 7/19*108=39.79.

Answer: first one

Step-by-step explanation:

The area of the rectangle 81 square units and the perimeter of the rectangle is 36 units.

In this question, we have been given the rectangle with coordinates (3,7), (3,-2), (-6.-2) and (-6,7)

We need to find the perimeter and area of the rectangle.

Using distance formula we find the length and width of the rectangle.

d1 = √(-2 - 7)² + (3 - 3)²

d1 = √(-9)²

d1 = 9

And d2 = √(-2 + 2)² + (-6-3)²

d2 = √(-9)²

d2 = 9

d3 = √(7 + 2)² + (-6 + 6)²

d3 = 9

This means, the length and width of rectangle are equal i.e., 9 units.

So, perimeter would be,

P = 4 * 9

P = 36 units

And the area would be,

A = 9 * 9

A = 81 square units

Therefore, the area of the rectangle 81 square units and the perimeter of the rectangle is 36 units.

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To travel 24 miles of distance it require 16 gallons of gas

Ratio :

                                   A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Proportion :

                  A proportion is an equation in which two ratios are set equal to each other,

From the graph,

       We are observing that,

                                                 The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.

            In 4 gallons of gas  travelling 6 miles,

that is,

In simple word,            

        4 gallons = 6 miles

          Multiply both side by 4 we get,

        4 x 4 gallons = 6x4 miles

        16 gallons = 24 miles

Thus we can say,

                           To travel 24 miles of distance it require 16 gallons of gas

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A) The second equation is 2x - 4y +20=0, this system has no solutions.

B) The second equation is  x-2y-11=0, this system has infinite number of solutions.

An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.

Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.

Given equation is,

2x - 4y = 22

A) Let the second equation be

2x - 4y +20=0

∴a₁/a₂=1

b₁/b₂=1

c₁/c₂=-11/10

Therefore, a₁/a₂=b₁/b₂≠c₁/c₂

Hence, the system has no solution.

B) Let the second equation be,

x-2y-11-0

Therefore,  a₁/a₂=b₁/b₂=c₁/c₂=2/1

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A scale drawing of an NFL goal post uses a scale of 2 inches equal 5 feet if the actual width of the goal posts is 18 1/2 feet what is the width of the goal post on the drawing.

If 3 inches on the scale drawing represents 5 feet in actuality, determine the actual area of a kitchen if the area of the scale drawing is 45 inches 3 inches to 5 feet is 1:20

From the question asked you cannot determine the area. (No width given) You state the measurement is 45 inches (not square inches) 45 inches at 20:1 = 900 inches or 75 feet (linear)

Hence the answer is 75 ft.

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Answer:

75 ft

Step-by-step explanation:

After solving the value of x = 1/2.

From the figure:

AB = 4 ,BD = 3,DE = 4

AD = AB + BD

= 4+3

= 7

ADE is a right angle triangle.

AE^2 = AD^2+DE^2

= 7^2 + 4^2

= 49 + 16

= 65

AE = [tex]\sqrt{65}[/tex]

AC = AE/2

= [tex]\sqrt{65}[/tex]/2

ABC is a right angle triangle.

AC^2 = AB^2+BC^2

[tex](\sqrt{65}/2)^2[/tex]= 4^2+x^2

65/4 = 16 + x^2

65/4 - 16 = x^2

65 - 16*4 / 4 = x^2

1/4 = x^2

x = [tex]\sqrt{1/4}[/tex]

x = 1/2

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1260 tickets were sold on the first game

For the second game, the ratio of the number of sold tickets to number of unsold tickets is 13:2

Total ratio = 13+2 = 15

There were 240 unsold tickets for the second game. Let total number of tickets for the second game be x

This means that

240 = 2/15 × x

2x/15 = 240

2x = 15 × 240= 3600

x = 3600/2 = 1800

1800 tickets were sold for the second game. Assuming total number of tickets for the first game is equal to total number of tickets for the second game. Therefore,

Total number of tickets sold for the first game is 1800

The ratio of sold tickets to unsold tickets for the first game was 7:3.

Total ratio = 7+3 = 10

Number of sold tickets for the first game would be

7/10 × 1800 = 12600/10

= 1260 tickets

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The mean of the following data is 0.1800

acc to our question-

hence,The mean of the following data is 0.1800

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