Mathematics High School

What is the exact value of sin 30° ?

Enter your answer, as a simplified fraction, in the box.



Answers

Answer 1
To solve this problem you must apply the proccedure shown below:

 1. By defnition, sine is one of the trigonometric functions. The sine of an angle can be written as below: "sin(α)".

 2. The sine of 30 degrees, is:

 sin(30°)=1/2

 3. Therefore, the answer for the exercise shown above: sin(30°)=1/2
 

Related Questions

A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola.

Answers

y = a(x + 2)(x - 3) : equation of the parabola in factored form 10 = a(5 + 2)(5 - 2) : (5 , 10) is a point on the graph of the parabola and therefore satisfies the equation of the parabola. a = 5/7: solve the above equation for a.

Select the following series as arithmetic, geometric, or neither. 1 + 2 + 3 + 4 + . . . + 10

Answers

The series is an arithmetic series.

The progression has a common difference of 1. You can tell because it involves a plus sign, which is indicative of an arithmetic progression,

A geometric progression would include multiplying the numbers by a certain amount. For example:
1, 3, 9, 27 ... 243
In this series, you multiply the numbers by three to get your answer.

The following series is an arithmetic series. Because the progressive term has a difference of 1.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The given equation is;

1 + 2 + 3 + 4 + . . . + 10

The series is arithmetic in nature. The typical difference in the progression is 1. Because it has a plus sign, which indicates an arithmetic progression.

Hence, the following series is an arithmetic series.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Using complete sentences, explain the key features of the graph of the sine function.

Answers

check the picture below.

Yulia estimates college tuition and fees, room and board, books, and other charges total $15,350. She will receive a $1500 scholarship. If she has 4 years to save, how much should Yulia save per month to cover the costs of college (minus the scholarship)? A. $288.54 B. $319.79 C. $3462.50 D. $3837.50

Answers

We know the the total cost of Yulia's college education is $15,350. We also know that she will receive a $1500 scholarship, so she will have to pay [tex]15350-1500=13850[/tex]$. A year has 12 months, so 4 years have [tex]4(12)=48[/tex] months.
Now to find how much she will need to save each month, we are going to divide the total cost of her college education by 48 months:
[tex] \frac{13850}{48} =288.54[/tex]

We can conclude that Yulia will have to save $288.54 per month to cover the costs of her college education. Therefore, the correct answer is: A. $288.54 

PLEASE HELP ME ON THIS

Answers

it's B the second one
the answer is 
8x+12y<96
x+y>10

what is the measure of AC?

Answers

we know that
The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°

the answer is mAC=150°

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets

Answers

Let g and b represent the numbers of grandstand and bleacher tickets sold... g + b = 5716 . . . . . . . . . total number of tickets sold.. 65g +40b = 341690 . . value of tickets sold
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have?
What operations are needed to solve this word problem, and in what order should they be used?

addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order

Answers

If we take the amount of points to be x before doing any operations on it ,
george has 2 times points of x 
however x is 4 points less than sisters points which is 16 points 
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x 
Therefore we first subtract 4 from 16 and then multiply  it by 2, thats 12*2 = 24 
therefore george has 24 points 
the operations are subtraction and multiplication in order 

The solution to the equation x + 4.5 = 9.2 is x = 4.7.
True or false

Solve the equation. b + 2.9 = 8.7
b = 3
b = -5.8
b = 11.6
b = 5.8

Solve the equation. 2.5 + a = 8.7
a = 6.2
a = .2
a = -6.2
a = 3.48

Answers

The first one is True. The second one is 5.8. The last one is 6.2

The First One Is True Then The Next One Is A.B=3 And The Last One Is D.A=3.48








             Hope It Helps And PLEASE MARK ME THE BRAINLYEST

JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist between the two tangents? explian

Answers

check the picture below.

notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.

notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.

What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)

Answers

the answer is (-2,-4)

Answer:

(-2, -4)

Step-by-step explanation:

Let's remember how to calculate the vertex of a parabola:

If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.

In this case, a = 1, b = 4, c = 0.

The x-coordinate of the vertex is x = -4/2*1 = -2

The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4

Therefore, the vertex is (-2, -4)

Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance

Answers

input force x input distance > output force x output distance is your answer so A.

Answer:

The correct answer is A

I got it right on my quiz


HELLO

could anyone PLEASE help me??

Id appreciate it!!!!!

Answers

Hello! 1,000 points are needed to go to a water park, and 424 points are already added, with 9 more games. An equation that would help find the average number of points is 9x + 424 = 1,000.

How to solve it:

Okay. So first off, lets subtract 424 from both sides. 424 - 424 cancels out. 1,000 - 424 is 576. That makes 9x = 576. Now, divide each side by 9 to isolate the c. 9x/9 cancels out. 576/9 is 64. There. x = 64. The team will need to score an average of 64 points in their remaining games in order to reach their goal.

What is the greatest common factor of 62 and 82? Use prime factorization solve.

Answers

62=2×31
82=2×41
so the answer is 2

So I need help in geometry

Answers

cos 24 = 11/x
so 
x = 11/cos 24
x = 11 / 0.9
x = 12.2

answer
x = 12.2

A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?

Answers

Change 1 1/2 into improper faction

1 1/2 = 3/2

Change 3/2 to quarters

3/2 = 6/4

1 measure cups = 1/4 cup

To get 6/4 cups 
6/4 ÷ 1/4 = 6/4 x 4/1 = 6 

He needs to fill in 6 times

can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x

solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8

solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5

find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)

A. -5,-3,0,7,11 my answer

find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3

if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910

Answers

1. 21(x-4)+2 = 21x - 84 + 2 = 21x - 82 (C is the correct answer) 
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
 3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
 4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
 5. Slope is 3. y=3x-5

Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay

Answers

Answer: Varies depending on the percent that you use.

To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.

A common percent is 30%.

So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.


Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.

Answer is $1350

Please help with 1 question thank you!

Answers

after rotating 180 degrees it would be Line ON

helpppppppppppppppppppppppppp

Answers

A. First notice that the function is moved up by two units from the origin, not four, so the answer must be in A, B, and D. Also notice that the period of the function is pi instead of 2pi, so the coefficient before x is 2pi/pi=2, so eliminate B. The function is opposite of original sin function, so there's a negative sign in front of the expression. The answer is A.

Express 18.48 ( 48 bar) in the form of p/q where p and q are integers and q is not equal to 0.

Answers

Let the number be x
100x=1848.48. (1)
x=18.48. (2)
subtract 2 from 1

99x=1830.00
x=1830/99


We have to express [tex] 18.\bar{48} [/tex] in the form of [tex] \frac{p}{q} [/tex] where p and q are integers and q is not equal to zero.

Let x = [tex] 18.\bar{48} [/tex]

Multiplying the given equation by 100, we get

[tex] 100x = 1848.48484848... [/tex]

[tex] 100x = 1830+ 18.48484848... [/tex]

[tex] 100x = 1830+ 18.\bar{48} [/tex]

[tex] 100x = 1830+ x [/tex]

[tex] 99x=1830 [/tex]

[tex] x=\frac{1830}{99} [/tex]

Therefore, [tex] 18.\bar{48} [/tex] is represented as [tex] x=\frac{1830}{99} [/tex] in the form of [tex] \frac{p}{q} [/tex]

which equation describes the same line as y-3=-1(x+5)?
A. y=-1x+8
B. y=-1x-2
C. y=-1x-1
D. y=-1x-5

Answers

y-3 = -1 (x+5)
y-3 = -x-5
y = -x-5+3
y = -x-2

B

5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.

Answers

Conditional Statement: If it is a beagle, it is a dog.
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).

Nikola buys a bouquet of 8 sunflowers for 18$. What is the cost for 1 sunflower.

Answers

The cost for 1 sunflower would be $2.25. We can figure this out by doing the expression $18 divided by 8 which gives up $2.25.
I hope this helped! :-)

Please help ASAP!! Super appreciated!!! <3

Answers

The data is not linear. From (3, 1) to (7, 2), we add 4 to the x-value and add 1 to the y-value. This pattern continues for a little while, however, from (11, 3) to (18, 5), we add only 7 to the x-value even though we added 2 to the y-value. Given this information, we can determine that this is not linear data.

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

Answers

the correct answer is -1.

Answer:

B. -1

Step-by-step explanation:

We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].

Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]

i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.

Jeffrey has 12 friends. He wants to give each friend 3 stickers. Which equation can be used to find how many stickers Jeffrey will need?

Answers

An equation that could be used is 12/3. Or 12 over 3. (The bar, or fraction bar means divide.) He can divide 3 by 12. His answer is 4.

Match each angle measure in degrees with its equivalent measure in radians

Answers

To convert angle from radian measure to degree measure, multiply it by 180/π.

So,
a) 5π/4 in degree measure will be:

[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]

So, 5π/4 radian is equal to 225°.

b) 9π/5 in degree measure will be:

[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]

So, 9π/5 radian is equal to 324°.

c) 2π/3 in degree measure will be:

[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]

So, 2π/3 radian is equal to 120°.

d) 4π/9 in degree measure will be:

[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]

So, 4π/9 radian is equal to 80°.

e) 5π/6 in degree measure will be:

[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]

So, 5π/6 radian is equal to 150°.

f) 7π/4 in degree measure will be:

[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]

So, 7π/4 radian is equal to 315°.

Answer:

Hm..

Step-by-step explanation:

Line AB intersects line DF. Which statement shows that the two lines are perpendicular?

Line AB and line DF are on the same plane.
Line AB and line DF intersect only once.
Line AB and line DF intersect at a 90° angle.
Line AB and line DF intersect at a 180° angle.

Answers

Answer:
Line AB and line AD intersect at a 90° angle

Explanation:
Two lines are said to be perpendicular if the angle between the two lines is 90 degrees.
If the angle between the two lines is 180, the two lines are said to be supplementary angles
The first and second options do not imply that the lines are perpendicular as the angle formed between them could be less or more that 90°.

Hope this helps :)

The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

Answers

h = -b / 2a = 2 : x coordinate of the vertex of the parabola k = -(2)2 + 4(2) + C = 4 + C : y coordinate of vertex x = (2 + √(4 + C)) , x = (2 - √(4 + C)) : the two x intercepts of the parabola. length of BA = k = 4 + C length of AC = 2 + √(4 + C) - 2 = √(4 + C) area = (1/2)BA * AC = (1/2) (4 + C) * √(4 + C) (1/2) (4 + C) * √(4 + C) = 32 : area is equal to 32 C = 12 : solve above for C.
Other Questions
Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31feet and its width is 24feet. Suppose each pack of seed covers 12square feet. How many packs of seed will he need to cover the backyard? why does Vietnamese fight the French in Indochina Multiply x^2-8x+15/3x * 8x/x-3 Sculpture that occupies three-dimensional space is called _________. Opposing views on manhattan project In an ordered pair,the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides.If the x-coordinate is 7, what is the y coordinate 20 PTS!!What causes waves? What determines their size? A shuffled deck of cards is placed face- down on the table. It contains three hearts cards, 8 diamonds cards, 5 clubs cards, and seven spades cards. What is the probability that the top cards are one of the hearts followed by one of the clubs? Antimicrobial agents that damage the viral envelope __________. A high school student working part-time as a pizza delivery man had a gross income of 6324 last year. If his federal tax rate was 10% and his state tax rate was 4.2% what was the amount withheld from his pay last year in fenderal tax, state tax, and FICA combined A particle moving in the x direction is being acted upon by a net force f(x)=cx2, for some constantc. the particle moves from xinitial=l to xfinal=3l. what is k, the change in kinetic energy of the particle during that time? express your answer in terms of c and l. What is a thesis and how do I write one? I have an english essay coming up and it is an unseen question. I am stuck on creating a thesis. Thanks! in your opinion, would it be worse to suffer the consequences of making poor choices or not to be able to make choices at all? how can the public participate in the budget process Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8? Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.A; an = 2 3n - 1B; an = 2 (-3)n - 1C; an = 2 3nD; an = 2 (-3)n + 1 Write two ways in which Robin Hood and the foresters were different from each other. #7 Which detail from the passage provides the best support for the answer to question 6?- Which statement best expresses two central ideas of the passage? Guys please help me this is a system of equation word problem Twenty-year-old brianna lives in a small town. she has always been extremely shy, but lately she has been feeling intensely afraid that others are scrutinizing her. she avoids speaking in class, she no longer goes to parties, and she starts trembling whenever she is in a public place. brianna seems to be suffering from: