An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.

Answers

Answer 1

Answer:

We know that, for a right triangle:

Cos(A) = (adjacent cathetus)/hipotenuse

sin(A) = (opposite cathetus)/Hipotenuse.

If we are in a right triangle inside the unit circle, we have that hypotenuse = 1.

Now, when you draw the unit circle, now from the center of the axis you must draw a straigth line (that forms an angle of 120° with the x-axis), and in the point where it cuts the unit circle we do 2 things.

from this point, you can draw a parallel line to the y-axis, the point where this line touches the x-axis is the value of the cosine.

Now you draw a line that is parallel to the x-axis (remember that the line must pass trough the point of before), the point where this line cuts the y-axis is the value of the sine

You should get:

sin(120°) = 0.87

cos(120°) = -0.5


Related Questions

find the missing letter which is n. perimeter is 108 inches and width is 18 inches​

Answers

The perimeter can be found by using the formula: P = 2w + 2h

w = width

h = height

P = perimeter

We are given the perimeter of 108 inches.

We are given the width of 18 inches.

Substitute in the formula.

108 = 2(18) + 2h

108 = 36 + 2h

Solve for h.

108 = 36 + 2h

108 - 36 = 36 - 36 + 2h

72 = 2h

72/2 = 2h/2

36 = h

Therefore, the length of the missing side is 36 inches.

Best of Luck!

worth 50 points !!! brainliest will be given to the best answer if 2 people answer.

I’m Mrs. Miller’s last will and testament, she leaves half of her money to her cat, Maggie, and half that amount to her dog, Chop Chop. She leaves a sixth to her goldfish, Bruno. And she leaves the remainder of her money, $1000, to her parakeet, Philomena. How much money is she leaving in total?

Answers

Answer:

1/2 + 1/4 + 1/6 = 3/4 + 1/6 = 11/12 .

1/12 = 1000

1=1000*12

1=12000

Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
3, 19, and 380
2, 9, and 185

Answers

Answer:

A,C,E

Step-by-step explanation:

This is the correct answer I found out the hard way getting only 1 of three right because the guy above is wrong not all are wrong accept C A,C, and E are all correct.

Which are the side lengths of  a right triangle? Check all that apply.

 

A.3, 14, and <205

6, 11, and <158

C.19, 180, and 181

3, 19, and <380  

E.2, 9, and <85

Eureka math grade 7 module 6 lesson 23 problem set

Answers

Answer:

What Do You Mean

Step-by-step explanation:

It’s whatever Jeremy or however you spell his name said

What is the slope .
Simplify your answer and write it as a proper fraction , improper fractions or integer

Answers

Answer: 20/40

Step-by-step explanation:

For the function y = ln(x+1)+5, which of the following statements is
true?
O A. The domain is (1,00), and the range is all real numbers.
O B. The domain is (1,0), and the range is [5,).
O C. The domain is (-1,0), and the range is all real numbers.
O D. The domain is all real numbers, and the range is [5,).

Answers

Answer:

C. The domain is (-1,+∞), and the range is all real numbers.

Step-by-step explanation:

The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1

and the range is all real numbers.

check the attached picture for the graph.

C. Is the answer for this question

Rectangle A measures 3cm by (8x - 7)cm and rectangle B measures 4cm by (5x + 2)cm. Area of both rectangles is equal. Create the equation and find the value of x.

please help me i will mark you brainliest

Answers

Answer:

Equation: 3 (8x - 7) = 4 (5x + 2)

Value of x =7.25 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: width x length

Replacing with the values given:

Area A = 3 (8x - 7)

Area B = 4 (5x + 2)

Since both areas are equal:

Area A = Area B  

So:

3 (8x - 7) = 4 (5x + 2)

Solving for x:

24x -21 = 20x+8

24x-20x =8+21

4x =29

x =29/4=7.25 cm

Feel free to ask for more if needed or if you did not understand something.

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit for the scatter plot can be described by the equation y = 4/5x. If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36
39
56
24

Answers

Answer:

[tex]36\ \text{gallons per unit}[/tex] will flow from the hose in 45 minutes.

Step-by-step explanation:

The line of best fit for the scatter plot can be described by the equation :

[tex]y=\dfrac{4}{5}x[/tex]

y is amount of water in gallons

x is time

When x = 45 minutes, put x = 45 in above formula as :

[tex]y=\dfrac{4}{5}\times 45\\\\y=36\ \text{gallons per unit}[/tex]

So, [tex]36\ \text{gallons per unit}[/tex] will flow from the hose in 45 minutes.

DUE NOW

(1.) 10, 10, 4, 10, x
If the mean is 7, which number would x be?

(2.) 10, 10, 4, 10, x
If the mean is 7, which number would x be?

(3.) 7, 10, g, 10, 7, 11
If the mode is 7, which number could g be?

Answers

The answer of question no.1 and 2 is 1.

Well,the question of 1 and 2 are same.

Look at the attached picture

The answer of question no 3 is 7.

Hope it helps...

Good luck on your assignment

Use the following figure to answer the question.
5/6
1 and
28 are
angles.
O alternate exterior
O alternate interior
corresponding
Oright​

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!

Question. A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.

Answers

Answer:

1/30 or 3.333%

Step-by-step explanation:

PLZ HELP!!!!!!!!!!!!!! :(

Answers

Answer:

D: x≥-3

Step-by-step explanation:

Answer: it's B

Step-by-step explanation:

The ordered pair (2, 4) is dilated by a scale factor of 1/2, what is the new ordered pair?

Answers

Answer:

the new pairs are (1, 2)

Step-by-step explanation:

dilation with scale factor 1/2 means the shape will get halved in its image so the ordered pairs will also get halved.

[tex](2 \times 0.5)(4 \times 0.5) = (1 \: \: \: 2)[/tex]

A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour

Answers

this isn’t possible.

Which of the following is not considered a debit?
A. ATM withdrawal
B. Check cashed
C. Online bill payment
D. Direct deposit

Answers

Answer:

B. Check Cash

Hopefully this will help.

Answer: Direct Deposit

Step-by-step explanation: Direct deposit and Direct debit both describe an electronic transfer of funds. They differ which party initiates the transfer.

hope this helps

If the zeros of a quadratic functions are -2 and 4, which graph could represent the function?

Answers

Answer:

The Graph having the X-intercepts of (-2,0) and (4,0)

Step-by-step explanation:

The zeroes of the function is the X-intercept.

The graph that represent the function should be that it contains the x-intercept of (-2,0) and (4,0)

What is x-intercept?

Here the x-intercept means the x-coordinate of the point at which the line, curve, the surface should be intersected at the x-axis.

Since there are the zeros of the quadratic equation that contains -2 and 4

So here we can say that The graph that represent the function should be that it contains the x-intercept of (-2,0) and (4,0)

Learn more about graph here: https://brainly.com/question/3789339

Look at this square. Find the value of p.
Perimeter = 24 yards
P =
yards​

Answers

Answer:

I do not know what P is supposed to be. Please explain so I can answer.

Step-by-step explanation:

Assuming the yard is rectangular then the following applies:

The perimeter of a rectangle is the distance around the outside

of the rectangle. A rectangle has four sides with opposite sides
being congruent. The formula for finding the perimeter is Side A +
Side B + Side A + Side B. This could also be stated as 2xSide A +

2xSide B or 2x(Side A + Side B)

Side A =2m, p = 24m, therefore:
2x2m + 2xside B= 24m

Side B = (24-4) ÷ 2 = 10m

Describe the relationship between x and y in a line with negative slope.
A. y stays constant as x increases.
B. y decreases as x increases.
C. y decreases as x stays constant.
D. y increases as x increases

Answers

Answer:

BBBBBBBBBBBBBBBBBB

Step-by-step explanation:

If you're good at logarithms please help me with question two d and h thanks
show full working out ;)

Answers

Answer:

d. -0.301

h. 1.38

Step-by-step explanation:

Loga0.5 = loga2^-1

= -1(loga2)

       = -1 (0.301)

= -0.301

Loga24 = loga(2^3 x 3)

= loga2^3 + loga3

= 3 (loga2) + loga3

       = 3 (0.301) + (0.477)

       = 1.38

I WILL MARK BRAINLIST WHOEVER ANSWERS FIRST
Lana recorded the gender and eye color of students passing in the hallway at her school. What is the experimental probability that the next student she sees will be a boy with brown eyes?

Answers

Answer:

1/6

Step-by-step explanation:

i think im not 100% sure

Which algebraic expression is equivalent to the expression below?

7(3x + 12) + 12x - 16
A.
21x + 68
B.
33x + 68
C.
33x + 100
D.
33x + 84

Answers

Answer:

Step-by-step explanation:

21x + 84 + 12x -16

33x + 68

Answer:

B) 33x + 68

21x + 12x = 33x

84-16 = 68

The answer is 33x + 68

Select Ruler from the tools to measure the petal, anther, filament, pistil, and ovary. Record these measurements in Table A of the
Student Guide. Select the Magnifying Lens to read the ruler. Select continue when done

Answers

Answer:

There is nothing here for me to answer

Step-by-step explanation:

7. Find the volume of the cylinder. Round to the
nearest tenth.
6 ft
7 ft

Answers

Answer:

791.7 ft^3

Step-by-step explanation:

V=πr2h=π·62·7≈791.68135

Using a minimum of two sentences, describe how to write the function, f(x) = (x + 2)2 – 3, in general form.​

Answers

Answer:

f(x) = (x+2)^2-3

     = x^2 + 4x + 4 - 3

     = x^2 + 4x +1

Step-by-step explanation:

First, you must solve the binomial squared. Then you must combine similar terms.

What is the value of x?

Answers

50


Step by step explanation

Answer:

A

Step-by-step explanation:

Find all the angles of the triangle.

A straight line is 180° therefore you do 180°-105°=75°

All the angles in the triangle added together is 180°.

Now you write it into an equation,

55+75+x=180

x=180-130

x=50°

What do I do to solve this?

Answers

Answer:

cross multiply

Step-by-step explanation:

multiply from across

Answer:23/2

Step-by-step explanation:

Step 1: Cross-multiply.

46

52

=

y

13

(46)*(13)=y*(52)

598=52y

Step 2: Flip the equation.

52y=598

Step 3: Divide both sides by 52.

52y

52

=

598

52

y=

23

2

Answer:

y=

23

2

A spinner is divided into eight equal sections marked with eight different colors. Which situation could be represented by this simulation?
A.
Lynda has to select one of three students from her class.
B.
Hazel is selecting one pup from a group of ten puppies at a pet adoption center.
C.
Xavier has to select one novel from a collection of five English novels, two Spanish novels, and one French novel.
D.
Collin needs to decide whether to take a yoga class, a dance class, or swimming lessons.

Answers

Answer: C

Step-by-step explanation:

It is c bc there is 8 books that is equal to the spinner

I need help answering this one

Answers

Answer:

9 units

Step-by-step explanation:

when 0 acts as center ; the circle is 9 units form the centerfrom the graph

hope this helps

plzz mark me brainliest

Answer:

The answer is 9

Step-by-step explanation:

The radius is always half from across the entire circle.

how may students prefer burgers?

Answers

21 student prefer more burgers
17 students prefer burgers

The area of the base of a triangular pyramid with faces that are equilateral triangles is 64 ft squared. Can you find the surface area of the​ pyramid? Explain. Here are the choices
A. No, because the area of the base of a pyramid is not related to the area of its​ faces, so the surface area cannot be found without more information.

b. No, because the base of a pyramid with equilateral triangle faces does not necessarily have the same area as its equilateral faces.

C.Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.

D.Yes, because the area of the base will be the edge length of each​ face, which can be used to find the area of each face

Answers

Answer:

C.

Step-by-step explanation:

Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.

So the surface area is 64 * 4 which is 256

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