How come the π/6 is equal to 1/2 and radical 3 over 2?

Answers

Answer 1

Answer:

cos(π/6)= radical 3 over 2 sin(π/6) = 1/2

Step-by-step explanation:

In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)

How Come The /6 Is Equal To 1/2 And Radical 3 Over 2?

Related Questions

write an equation of a line in slope intervept form that passes thriugh yhe point (8,3) and is parallel to the line y= -1/4x +7

Answers

Answer:

m= -1/4

Step-by-step explanation:

Which of the following is the horizontal cross section of the three-dimensional figure formed by rotating a rectangle around the y-axis? a. circle b. cylinder c. triangle d. rectangle

Answers

Answer: Option A.

Step-by-step explanation:

Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.

Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.

Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A:

This table represents a relationship Is this relationship proportional or not proportional?

Hours Worked 2 3 4 5 6
Total Income $20.50 $30.75 $41.00 $51.25 $61.50

Select from the drop down menus to correctly complete the statement

The relationship represented by this table is ______ because the unit rates _____​

Answers

Answer:

Proportional and they are all equal to 10.25

Step-by-step explanation:

20.50/2=10.25

30.75/3=10.25

41/4=10.25

51.25/5=10.25

61.5/6=10.25

They all match. they are proportional.

Identify the greatest common factor.
8y, -12x, 4xy

Answers

The greatest common factor, GCF, of 8y, -12x, and 4xy is 4

Determining the Greatest common factor (GCF) of expressions

From the question, we are to determine the greatest common factor of the given expressions.

The given expressions are 8y, -12x, and 4xy

To determine the greatest common factor, we will express each of the expressions as a product of their factors.

8y = 2 × 2 × 2 × y

-12x = 2 × 2 × 3 × -x

4xy = 2 × 2 × x × y

From above, we can observe that the greatest common factor is

2 × 2

= 4

Hence, the greatest common factor is 4

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please i need in under 20 mintute quick

please i need in under 20 mintute quick

Answers

Answer:

its been over twenty minutes. did you figure it out ?

The total cost of a tie and a pair of pants was $69.95. If the price of the tie was $6.79 less than the pair of pants, what was the price of the tie?

Answers

Answer:

$31.58

Step-by-step explanation:

31.58 + 6.79 = 38.37

38.37 + 31.58 = 69.95

Parallelograms don’t understand

Parallelograms dont understand

Answers

Answer:-43 + 9x = 0

Step-by-step explanation:Simplifying

9x + -43 = 0

Reorder the terms:

-43 + 9x = 0

Solving

-43 + 9x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '43' to each side of the equation.

-43 + 43 + 9x = 0 + 43

Combine like terms: -43 + 43 = 0

0 + 9x = 0 + 43

9x = 0 + 43

Combine like terms: 0 + 43 = 43

9x = 43

Divide each side by '9'.

x = 4.777777778

Simplifying

x = 4.777777778

Find the surface area of the solid shown or described. If necessary, round to the nearest tenth
7cm
10cm
14 cm

Find the surface area of the solid shown or described. If necessary, round to the nearest tenth7cm10cm14

Answers

Answer:

616cm²or³

Step-by-step explanation:

SA = 2(lw)+2(lh)+2(hw)

SA=2(10×14) + 2(10×7) + 2(7×14)

SA= 2(140) + 2(70) + 2(98)

SA=280+140+196

SA=616cm²or³

Please Help! I will give you the brainiest and a lot of points (If you give me an unreasonable answer or something this is obviously not related to the question I will report you and all of your posts (whether their related to my questions or not).

-You have to use the Hindu-Arabic number system

Please Help! I will give you the brainiest and a lot of points (If you give me an unreasonable answer
Please Help! I will give you the brainiest and a lot of points (If you give me an unreasonable answer

Answers

\(\qquad\)2010_(nine)

\(\qquad\)7716_(nine)

\(\qquad\)+_________

\(\qquad\)9726_(nine)

Keep nine stable and add the bases


24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow

Answers

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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24 children were asked which is their favourite colour from a choice of red, bluegreen or yellow. Their

Find the area of the triangle.

Find the area of the triangle.

Answers

Answer: 6

Step-by-step explanation:

\(\frac{b*h}{2}\)

b=4

h=3

12/2

6

EDGE PRECAL 2020
Select the place in which an error first occurs in the proof of Sine (StartFraction t Over 2 EndFraction).

Statement 1
Statement 2
Justification 1
Justification 3

EDGE PRECAL 2020 Select the place in which an error first occurs in the proof of Sine (StartFraction

Answers

Answer:

Step-by-step explanation:

EDGE PRECAL 2020 Select the place in which an error first occurs in the proof of Sine (StartFraction

Answer:

Statement 2

Step-by-step explanation:

EDGE PRECAL 2020 Select the place in which an error first occurs in the proof of Sine (StartFraction

1. The students in one social studies class were asked how many
brothers and sisters (siblings) they each have. The dot plot here shows
the results.
0 1 2
a. How many of the students have six siblings?
b. How many of the students have no siblings?
c. How many of the students have three or more siblings?
2 3 4 5 6
2. The resting pulse rates were recorded for 16 boys in gym class
before they exercised. The line plot here shows the results.
X
X
X
X
X
X X
ХХХ
79 80 81 82 83 84
X
X
85
a. What is the range of the pulse rates?
b. How many boys had a pulse rate over 81?
c. How many boys had a pulse rate of 83?

1. The students in one social studies class were asked how manybrothers and sisters (siblings) they each

Answers

Step-by-step explanation:

each dot represents one student's answer about how many siblings he/she has.

1a.

1 (1 dot above 6)

b.

no siblings means 0 siblings.

3 (3 dots above 0)

c.

we need to sum up all dots above 3, 4, 5 and 6 (3 and more siblings).

11 (6+4+0+1 dots above 3, 4, 5, 6)

2.

same thing. this time exery "x" is for a single student with that resting pulse (rate).

a.

the range of a set of data is the difference between the largest and smallest values. in other words, it is the result of subtracting the minimum from the maximum of the given set of data.

maximum = 85

minimum = 79

the range = 85 - 79 = 6

b.

over 81 means 82, or 83, or 84, or 85 out of our given data set.

we need to sum up all "x" above 82, 83, 84, 85.

9 (3+4+0+2 "x" above 82, 83, 84, 85).

c.

4 (4 "x" above 83).

1.

a. One student have 6 siblings

b. 3 students have no siblings.

c. 11  students have three or more siblings.

2

a. The range of the pulse rates is 6.

b.  One boy  had a pulse rate over 81.

c. Four boys  had a pulse rate of 83.

1. Given that  students in one social studies class were asked how many

brothers and sisters (siblings) they each have.

The dot plot is given.

Each dot represents the number of students.

A numbers on number line represents the number of siblings.

a. One student have 6 siblings as we observe the dot plot there is one dot above six.

b. No siblings means 0.'We have to check for number of dots above 0.

There are 3 dots.

So 3 students have no siblings.

c. We need to add the dots which are at 3 and above 3.

Number of students = 6+4+0+1

=11

2. a. the range of a set of data is the difference between the largest and smallest values.

maximum = 85

minimum = 79

the range = 85 - 79 = 6

b. From the line plot there is only one boy has a pulse rate over 81.

c.  From the line plot there is four boy has a pulse rate over 81.

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The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator

Answers

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Challenge An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students? The academy has 10 students per teacher.

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

6/12 is less than 2/12?

Answers

Answer:

no

Step-by-step explanation:

Answer:

no its not

Step-by-step explanation:

cause they have the same denominator and 6 is more than 2 so there for 6/12 is not less than 2/12

what is the answer to 2x3

Answers

Answer: 6

Step-by-step explanation:

Awnser:6

Explanation: 2 rows of 3 in each row is 6 in total

Which of the following are geometric sequences? Select all correct answers.

Which of the following are geometric sequences? Select all correct answers.

Answers

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed?

Answers

Answer:

The mean will increase, after the outlier is removed.

749/d * d/749 = 1

d=?

Answers

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

help plz this hard i really need help

help plz this hard i really need help

Answers

With all questions???

What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. -8-7 -6 -5 -4 -3 -2 Y Line H 40- 35 30- 25 20 15 10 54 0 =5 10 -15 -20 -25- -30 -35- -40- 1 2 3 4 -S 5 6 7 -∞o 8​

Answers

The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or

1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.

Answers

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?

h = 10.75
h = 18.75
h = 20.25
h = 22.5

Answers

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

8h - 30 = 150

2. Add 30 one each side to cancel out and only leave 8h.

8h = 180

3. To get rid of the 8 we divide the the other side by 8.

h = 22.5

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

How can the rational zero theorem be used to find the zeros of polynomials

Answers

P is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P if P(x) is a polynomial with integer coefficients and if is a zero of P(x) (P() = 0). (x).

The Reasonable Zeros Theorem can be used to locate every rational zero in a polynomial.

What does the theorem of rational zeros state?

According to the Rational Zeros Theorem, if P(x) is an integer-coefficient polynomial and is its zero (P() = 0), then p is a factor of P(xconstant )'s term and q is a factor of P's leading coefficient (x).

What does  rational number theorem determines?

Finding the rational solutions to a polynomial equation is done using the rational root theorem, as its name suggests (or zeros or roots of a polynomial function). The answers obtained from any polynomial equation are referred to as the roots or zeros of polynomials. It's not necessary for a polynomial to have rational zeros.

So, to find rational zero theorem states:

If  P(x) is a polynomial with integers coefficients and if is a zero of P(x)(P()=0), then

P is a factor of the constant term of P(x) and q is a factor of of the leading coefficient

Of P(x).

To find all the rational zero of a polynomial we can use the rational zeros theorem

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Using the graph below, determine the employee's hourly wage.

Using the graph below, determine the employee's hourly wage.

Answers

The employee’s hourly wage is 12.2 found by dividing 61/5

Funke gets #2.50 as pocket money. She spends 75 k and saves the rest. What is the ratio of her savings to the amount she spends?

Answers

Answer:

(250-75)/75 = 7/3

Step-by-step explanation:

5 The graph shows the relationship between the number of hours Teresa spends
knitting and the number of squares she completes for a blanket. Based on the
equivalent ratios shown in the graph, how many hours does it take Teresa to
knit 265 squares? Show your work.
Teresa's Knitting
Completed Squares
60
50
40
30
20
10
0
0


6

8 10 12
Hours Knitting

Answers

It will take 220.8 hour, Teresa to knit 265 squares

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Given that the relationship between the number of hours Teresa spends

knitting and the number of squares she completes for a blanket.

We need to find the hours does it take Teresa to knit 265 squares.

Now Based on the equivalent ratios  we have;

Teresa's Knitting /Completed Squares

10/12 = x / 265

Thus, Now cross multiplication we get;

x = 265(10/12)

x = 220.8

The answer is 220.8

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Solve for Y. Then identify the slope and y intercept. Show your work.
X + 4y = -12

Answers

4y=-x-12

y=-1/4x-3

so slope is -1/4 and y intercept is negative three

if my answer helps please mark as brainliest.

if the system of equations y=b/6x-3 and y=2/3x-3 has infinitely many solutions, what is the value of b?

Answers

Answer:

b = 4

Step-by-step explanation:

4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions

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