How do you guys convert fractions into trigonometry like the picture below?

How Do You Guys Convert Fractions Into Trigonometry Like The Picture Below?

Answers

Answer 1

The value of an angle in radians that corresponds to a given trigonometric function value can be found using the inverse trigonometric functions.

What is Trigonometry?

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied.

In this case, since sinθ = 1/2, we can use the inverse sine function, denoted as sin^-1, to find the value of θ:

θ = sin^-1 (1/2)

Note that the inverse sine function returns an angle in the range of [−π/2, π/2].

The actual value of the angle may also lie in other ranges, depending on the context in which it is used.

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Related Questions

Simplify (24)−1. please help me find out

Answers

Step-by-step explanation:

24×-1=

-24ans

and that's the answer

Round 17 nearest ten

Answers

Answer:

20.....

Step-by-step explanation:

Answer:

17.0

Step-by-step explanation:

17 is a whole number, so when rounding to the nearest tenth, it would still be 17.

Use the vectors u = 3, 3 and v = −5, 1 to find the indicated quantity.

Answers

The indicated quantity is a zero vector for the given vectors.

What is a vector?

A vector is a quantity that has both magnitude and direction (numerical size). The inverse of a scalar, which is a quantity with just magnitude and no direction.

The vectors are given in the question, as follows:

u = <3,3>

v = <-5,1>

The vectors u = (3, 3) and v = (-5, 1) represent points in the x-y plane.

Let

u+v = <-2,4>

Now

(u+v).0 = <-2.0,4.0> = <0,0>

(u+v).0 = 0

Thus, the result is a zero vector.

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Write and solve the inequality.​Then, graph the solution.

Nine less than the product of a number n and 1/5
is no more than 97.

Answers

The inequality is solved to give n ≤ 530

How to determine the solution to the inequality

It is important to note that algebraic expression are expressions that are composed of terms, variables, coefficients, factors and constants.

From the information given, we have that;

Nine less than the product of a number n and 1/5 is no more than 97

This is represented as;

1/5n - 9 ≤ 97

Now, collect like terms, we get;

1/5n ≤ 97 + 9

Add the like terms

1/5n ≤ 106

Now, cross multiply, we get;

n ≤ 106(5)

Multiply the values

n ≤ 530

Hence, the value is n ≤ 530

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Can someone help me with this math problem, ASAP? The math problem is in the picture, THANKS!

Answers

The base function before the transformation is f ( x ) = x³

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the base function be represented as f ( x )

Now , the equation will be

The transformed function is represented as p ( x )

The value of p ( x ) = ( x + 2 )³

So , we can see that the function p ( x ) has been shifted horizontally by a factor of 2 units to the left

So , the base function would be f ( x ) = ( x )³

On simplifying the equation , we get

The base function is f ( x ) = x³

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given that the selected individual has at least one card, what is the probability that he or she has a visa card?

Answers

The probability that he or she has a visa card is 40%.

Probability is a mathematical concept that describes the likelihood of an event happening. In this case, the event is the selected individual having a visa card.

Let's assume that the individual has a total of n cards and v of those are visa cards. The probability of the individual having a visa card is given by the formula:

P(Visa) = v/n

This formula expresses the ratio of the number of successful outcomes (having a visa card) to the total number of possible outcomes (having any type of card).

The probability is expressed as a decimal or a percentage. If the individual has 5 cards and 2 of them are visa cards, then the probability of them having a visa card is

=> 2/5 = 0.4 or 40%.

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1. There are 360 stickers in a box, divided equally among a group of children. If there are six fewer children in the group, each of the remaining children would receive two additional stickers. How many children are there initially?​

Answers

Using Algebra, we concluded, there are 36 children.

The study of variables and the procedures for modifying variables in formulas is known as algebra, and it is the subject that underlies almost all of mathematics. All applications of mathematics require knowledge of elementary algebra since it deals with manipulating variables as though they were numbers.

What are the Algebra Basics?

In algebra, the fundamental concepts are numbers, variables, constants, expressions, equations, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.

How to solve?

If there are X children at first

[tex]\frac{360}{x}+2=\frac{360}{x-6}[/tex]

360(x-6)+2x(x-6)=360x

360x-2160-12x=0

(X+30)(x-36)=0

So,x+30=0  x-36=0

X=-30, x=-36

Because X Great than or equal to 0

X=36

So there are 36 children at first.

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a person must be at least 7 years old to join baseball club the inequality is

Answers

A person must be at least 7 years old to join the baseball club the inequality is x ≥ 7  where x is the age of the person

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a condition, a person must be at least 7 years old to join a baseball club, we need to represent the age in terms of an inequality,

If we say, a person who wants to join the baseball club is x years old,

Then, the condition for x is given by inequality,

x ≥ 7

Hence, a person must be at least 7 years old to join the baseball club the inequality is x ≥ 7  where x is the age of the person,

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in experimental research, which group does not receive the independent variable and is used to determine whether the independent variable actually influenced change in the dependent variable?

Answers

In experimental research, a control group does not receive the independent variable and is used to determine whether the independent variable influenced change in the dependent variable.

A test sample or the group that undergoes an experimental method is referred to as an experimental group. This group is exposed to modifications in the test's independent variable. The independent variable's values and its effects on the dependent variable are noted. Multiple experimental groups may be present at once during an experiment.

A control group is a subset of the experiment that is kept apart from the other groups so that the independent variable under test cannot affect the outcomes. Isolating the effects of the independent variable on the experiment can help rule out other possible explanations for the findings of the experiment.

control groups can be of two types:

Positive control groups are control groups when the circumstances ensure a favorable outcome. Positive control groups are useful for demonstrating that the experiment is running according to plan.

Negative control groups are control groups where the circumstances result in a bad result. Negative control groups aid in identifying potential external factors, such as pollutants, that may be present but were not previously accounted for.

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Which is more affected by skewness, the IQR or standard deviation? IQR Neither one is affected. Standard Deviation Both are affected the same amount.

Answers

The correct answer is option 2. Neither one is affected by skewness.

The IQR (Interquartile Range) and standard deviation are both measures of variability in a data set, but they are affected by different aspects of the data. The IQR is affected by the spread of the middle 50% of the data, while the standard deviation is affected by the spread of all the data points.

Skewness, or the asymmetry of a distribution, affects the mean and median of a data set but does not directly affect either the IQR or standard deviation. However, it can indirectly affect the measures if it is severe enough to cause the data to be spread more unevenly.

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Complete Question:

Which is more affected by skewness, the IQR or standard deviation?

IQR Neither one is affected. Standard Deviation Both are affected the same amount.

What Is $12 for 5 boxes of cereal as a unit rate

Answers

[tex]5 \: boxes \: cost \: = \$ 12 \\ \therefore \: 1 \: box \: costs \: = \frac{\$12}{5} \\ \\ \longrightarrow \boxed{1 \: box \: costs \: = \$2.4}[/tex]

hope helpful! ;-;

Donnie is new to a town that does not have a doggie day care facility. Upon researching the situation, Donnie decides to open a doggie day care facility. Which
marketing option for this new business should be a point of emphasis?


Location
Features
Price
Service

Answers

Answer:  In this situation, location should be a point of emphasis for marketing the new doggie day care business. As a new business in a town without a doggie day care facility, it is important for potential customers to be aware of the new facility's location. This will help people find the business and consider using it for their dog care needs. Additionally, the location of the business will likely impact its accessibility and convenience for customers, so it's important to make sure people know where it is. Once people are aware of the location, they can then consider other factors such as features, price, and service when deciding whether to use the business.

Step-by-step explanation:

pls, help me I really don't understand this stuff.

Answers

Answer:

X = -2

Step-by-step explanation:

To find slope, it's

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

You're given two points

First one being (-9, -4) and second one being (x, 7). Both are these are in (x,y) form.

Let's plug it in.

[tex] \frac{11}{7} = \frac{7 - ( - 4)}{x - ( - 9)} [/tex]

^ Solving that, we get...

[tex] \frac{11}{7} = \frac{11}{x + 9} [/tex]

And that's because 7 minus a negative 4 means 7 + 4. Two negatives make a positive.

Now the top is good. 11 = 11.

The bottom says 7 = x + 9

If we were to subtract 9 from both sides... 7-9= -2, so

-2 = x

Hope this helps

To express as a trinomial

Answers

we can express a trinomial as,

2x² + 5x + 6.

Where 2, 5, and 6 are non-zero real numbers.

2x², 5x,  and 6 are the three terms.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A trinomial is an expression that contains three on-zero terms separated by + or -.

Example:

ax² + bx + c

Where a, b, and c are non-zero real numbers.

Thus,

Trinomials can be 2x² + 5x + 3.

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a quadrilateral with 90 degree angles is shown. the lengths of the left and right sides are 10 and 2 y 4. the lengths of the top and bottom sides are 18 and 10 2 x. what is the value of y? 3 4 5 6

Answers

The value of y of a quadrilateral is 3.

A rectangle is a quadrilateral with four right angles, meaning that all of its angles measure 90 degrees. Given the information provided, the lengths of the left and right sides of the rectangle are equal to 10 and 2y + 4, respectively.

We also have the lengths of the top and bottom sides equal to 18 and 10 + 2x, respectively. However, we don't need to use the information about x as it does not affect the calculation for y.

To find the value of y, we can use the fact that the length and width of a rectangle must be equal. Therefore, we can set the length equal to the width:

10 = 2y + 4

Now that we have an equation, we can solve for y by subtracting 4 from both sides:

2y + 4 - 4 = 10 - 4

2y = 6

Finally, to find y, we can divide both sides of the equation by 2:

2y / 2 = 6 / 2

y = 3

Therefore, the value of y is 3.

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a metal cylinder is measured to have a length of 5.0 cm and a diameter of 1.26 cm. compute the volume of the cylinder in cm3. use pi

Answers

The volume of the cylinder is 6.18 [tex]cm^3[/tex].

The volume of a cylinder—which corresponds to how much material can be transported inside of it or immersed in it—determines its density. The volume of a cylinder is calculated using the formula [tex]r^2h[/tex], where r is the radius of the circular base and h is the height of the cylinder. The material might be any substance that can regularly fill the cylinder with liquid or another substance.

Use the following formula to determine a cylinder's volume:

V = π[tex]r^2h[/tex]

where r is the radius of the cylinder (diameter / 2), h is the height of the cylinder, and π is approximately equal to 3.14.

First, find the radius:

r =[tex]\frac{ 1.26}{ 2}[/tex]

r = 0.63 cm

Next, find the volume:

V = π[tex]r^2h[/tex]

V = π[tex](0.63)^2(5.0)[/tex]

V= π * 0.3969 * 5.0

V= 3.14 * 0.3969 * 5.0

V = 6.18 [tex]cm^3[/tex] (rounded to 2 decimal places).

So, the volume of the cylinder is 6.18 [tex]cm^3[/tex].

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p and q are complex numbers such that |p| = 3x+2, |q|= 2x+1, and p + q = -2.
On what interval must x fall on?
0
O
[---]
O [3,00)
0 [-1,-1]
0 (-∞, -¹]

1

Answers

In complex number,  that x ranges from -5 to -1/2 and the correct option is (-∞, -1/2)

What is complex number?

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation [tex]{\displaystyle i^{2}=-1};[/tex]

every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes.

Given that,

|P| = 3x + 2

|Q| = 2x + 1

P+Q = -2

We know that, from Cauchy inequalities

|P| + |Q| > |P+Q|

3x + 2 + 2x + 1 > - 2

5x + 3 > - 2

subtract both side by 3

5x > -5

Divide both side by 5

x > -1 first condition

Note that,

|P| > 0

Then,

3x + 2 > 0

3x > -2

x > -2/3

Also,

|Q| > 0

2x + 1 > 0

2x > -1

x > -1/2

So, comparing the three conditions

We see that x ranges from -5 to -1/2, this range covers all the other ranges

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Name three solution for a variable and a number

Answers

Therefore , the solution of the given problem of equation comes out to be

there Are Countless Solutions.

What is an equation?

The equivalent indicator (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors using mathematical techniques, which have served as manifestations of reality. For example, the equal sign divides the number 12 or even the solution y + 6 = 12 in two different halves. How many characters already appear on either side of this symbol can be calculated. Conflicting symbol meanings occur frequently.

Here,

Each set of linear equations can have one of three different sorts of solutions.

Unique Solution are them.

No Answer.

There Are Countless Solutions.

Therefore , the solution of the given problem of equation comes out to be

there Are Countless Solutions.

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in the construction of a pie chart, how many degrees would be in the section of the pie showing the yes answers?

Answers

The section of the pie showing the "yes" answers would have 162 degrees in a pie chart.

In a pie chart, the size of each section is proportional to the proportion of the data it represents. To calculate the size of the section showing the "yes" answers, we first need to find the proportion of "yes" answers in the total sample.

The proportion of "yes" answers can be calculated as:

(54 YES) / (54 YES + 39 NO + 27 no-opinion) = 54 / (120) = 9/20

In a pie chart, the proportion of each section is represented as a fraction of 360 degrees. So, to find the number of degrees in the "yes" section of the pie chart, we multiply 360 by the proportion of "yes" answers:

360 * (9/20) = 162 degrees

Therefore, the section of the pie showing the "yes" answers would have 162 degrees in a pie chart.

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The side length of one triangle is 100 cm. Which pair of measurements could be the lengths of the other two sides?

Answers

One possible pair could be "80 cm and 20 cm" if the side length of one triangle is 100 cm.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

As we know that a triangle is considered a valid triangle if and only if the sum of the lengths of any two sides is greater than the length of the third side.

Given one side length of a triangle is 100 cm, the possible lengths of the other two sides would be any two numbers that add up to be greater than 100 cm.

Thus, one possible pair could be "80 cm and 20 cm" for the given triangle.

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a square tile, a regular hexagon tile, and a regular -sided polygon tile share a common vertex. there are no gaps or overlaps between the tiles. what is

Answers

The value of n  is 4, and the regular n-sided polygon becomes a square.

When a square tile, a regular hexagon tile, and an equilateral triangle tile share a common vertex, the total interior angle between them is 360°.

We can represent the interior angle between the sides of the regular n-sided polygon as 360°/n.

In the given problem, the square tile has an interior angle = 90°

The regular hexagon tile has an interior angle = 120°

The equilateral triangle tile has an interior angle = 60°.

The sum of all these interior angles = 270°.

Now equal the sum of interior angles = 360°

360° - 270° = 90° to the total interior angle.

This can be obtained by considering n=4 for the regular n-sided polygon, as the interior angle between sides of a regular 4-sided polygon is 360°/4 = 90°.

Therefore, the value of n  is 4, and the regular n-sided polygon becomes a square.

Did you mean, A square tile, a regular hexagon tile, an equilateral triangle tile, and a regular n-sided polygon tile share a common vertex? There are no gaps or overlaps between the tiles. What is n?

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Which row of the table reveals the x-intercept of function f?

Answers

The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

What are the intercepts of a function?

A function has two intercepts, which are listed as follows:

x-intercept.y-intercept.

The definition of each type of intercept is given as follows:

x-intercept: values of x when y = 0.y-intercept: value of y when x = 0.

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Help me please asap!!!!!

Answers

Answer:

435 cubic yards.

Step-by-step explanation:

Length x width x height.

Cut the shape into 2 parts.

Calculate the length for each.

13 yd - 5 yd = 8 yd

5 × 5 × 11 = 275

8 × 4 × 5 = 160

275 + 160

435 cubic yards

(pic will be provided.) Construct the two-way frequency table. 6th Graders 7th Graders 8th Graders Total Very Unhappy Unhappy 9 6 7 11 How do You Feel About a Longer School Year? Very Happy Neutral Happy 11 36 5 35 24 58 14 18 Total 47 60 191. ​

Answers

Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

How to complete the table?

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

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it took Mr. Black 2 hours to drive to his friends house. on the way back the traffic was heavy and Mr. Black drove 20 mph slower. The trip back took 1 hour longer. What was Mr. Blacks speed to his friend's house?

Answers

The speed that Mr. Blacks used to drive to the friend's house would be = 13.3 mph.

How to calculate speed of Mr. Blacks?

The number of hours used by Mr Black to the friend's house = 2 hours

The speed that was used by Mr Black while returning from the friends house = 20 mph.

The number of hours it took to return = 1+2 = 3hrs

Then, if 20 mph = 3hrs

X. mph = 2 hrs

Make X the subject of formula;

X = 20×2/3

= 40/3

= 13.3 mph

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How is the formula for converting radians to degrees determined?

Answers

Answer:

See below

Step-by-step explanation:

Converting from radians to degrees

[tex]r=\frac{\pi}{180}d^\circ[/tex]

Converting from degrees to radians

[tex]d^\circ=\frac{180}{\pi}r[/tex]

Because [tex]2\pi[/tex] radians is equivalent to [tex]360^\circ[/tex], the measure of a full circle, then 1 radian would be [tex]\frac{360^\circ}{2\pi}=\frac{180^\circ}{\pi}[/tex] degrees. Similarly, 1 degree would be [tex]\frac{2\pi}{360^\circ}=\frac{\pi}{180^\circ}[/tex] radians. This is where the formulas come from!

n urn contains 13 red marbles, 33 blue marbles, and 38 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?

Answers

There is a 15.47% chance of selecting a red marble from the urn without looking.

The probability of choosing a red marble from the urn is expressed by the following formula:

P(Red Marble) = Number of Red Marbles / Total Number of Marbles

In this case, we are dealing with 13 red marbles, 33 blue marbles, and 38 yellow marbles. Therefore, the probability of choosing a red marble is 13/84, or 15.47%. We can calculate this by dividing the number of red marbles (13) by the total number of marbles (84). This means that there is a 15.47% chance of selecting a red marble from the urn without looking.

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researchers recruited 60 undergraduate students, in exchange for course credit, for a study on the effect of recycling on how much wrapping paper subjects used to wrap a gift. the subjects were randomly assigned to one of two rooms. in one room there was a large recycling bin and in the other a large trash bin. subjects were asked to wrap a gift. unknown to the students, the researchers were interested in how much paper the students used. the researchers found that students in the room with the recycling bin used significantly more paper than those in the room with a trash bin. in this experiment, the amount of wrapping paper used is:

Answers

In this study, 60 undergraduate students were recruited to examine the effect of recycling on the amount of wrapping paper used to wrap a gift. The students were randomly assigned to one of two rooms, one with a recycling bin and one with a trash bin.

The researchers, who were secretly interested in measuring the amount of paper used, found that the students in the room with the recycling bin used significantly more paper than those in the room with the trash bin. This experiment suggests that the presence of a recycling bin may not have a significant effect on reducing the amount of wrapping paper used.

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What is -6x + 15y - 24

Answers

Answer:

-3(2x-5y+8)

Step-by-step explanation:

I’m pretty it’s -3(2x-5y+8)

3/8 H =-9 what does H =

Answers

Answer:

Below

Step-by-step explanation:

3/8 h = - 9    multiply both sides of the equation by   8/3

h = - 9 * 8/3 = - 24

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