on the following unit circle, \thetaθtheta is in radians. a unit circle with an angle from the positive x-axis to a ray labeled theta. the point where the ray intersects the circle is labeled 0.54, 0.84 and is in the first quadrant.

Answers

Answer 1

The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84

According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).

We need to find the trigonometric values, that is

 sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.

 sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.

Also note that,  sinƟ = perpendicular/hypotenuse

Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis

Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.

Thus, sinƟ = 0.84/1 = 0.84

Hence, sin(Π-Ɵ) = 0.84

  And sin(Π+Ɵ) = -0.84

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Related Questions

A Liberian sorts 350 books at a constant role. After a days, the librarian still has 150 books to son, How much time does it take to sort the books from start to
finish

Answers

Answer: 7 days

Step-by-step explanation:

Books already sorted;

= 350 - 150

= 200

Time taken = 4 days

Rate = 200/4

= 50 books a day

150 books remain;

= 150/50

= 3 days

Total time = 4 + 3

= 7 days

Please help its easy!
The table shows the location of four cities relative to sea level.
Which city is closest to sea level? Explain.
City Location Relative to Sea Level
A –0.25 meter
B 74 meters
C −32 meters
C 0.5 meter


City A; –0.25 is closest to 0 on a number line.


City B; 74 has the greatest absolute value.


City C; −32 is farthest from 0 on a number line.


City D; 0.5 has the least absolute value.

Answers

Answer:

The correct answer is City D.

Step-by-step explanation:

When you say the phrase, "closer to sea level" you mean the closest to the very top of the sea, like "0" on a number line.

This means, that whether it is to the left of the right of the number line (or above or below the sea) whichever one has the lowest absolute value is the closest.

Therefore, the correct answer is City D.

Hope this helps! :D

can someone answer my last question?

Answers

Answer:

What is the question?

Step-by-step explanation:

Write a function called height_range that accepts a list of integers representing heights in inches as an argument and returns the the difference between the tallest height and the shortest height. Assume that all heights are positive values.

Answers

The following function height_range in python language will accept a list of integers and return the difference between the tallest and shortest height.

What is a python programming language?

Python is a well-liked computer programming language used to build websites and software, automate procedures, and conduct data analysis. Since Python is a general-purpose language, it may be used to create a wide range of applications and isn't specifically designed to address any particular problems. Because of its high-level built-in data structures, dynamic typing, and dynamic binding, it is appropriate for Rapid Application Development as well as for use as a scripting or glue language to connect existing components.

Given that, the Function should accept a list of integers as arguments, and the return type should be an integer value which is the difference between the maximum and minimum element from the list function will be:

def height_range(L):

shortest = min(L)tallest = max(L)return tallest - shortest

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Let logp/n=5 and logm/n=9

Answers

Answer:

we know that

log (P/N) = log P - log N

so

log P - log N = 5----------------> equation 1

log (M/N) = log M - log N  

so

log M - log N = 9 ------------------> equation 2  

If you subtract equation 2 from equation 1,

you have

log M - log P = 4  

That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P

the answer is

the relationship between P and M is  

M = 10000P

HELPPPPP ITS AN EMERGENCY!!!!!!

Answers

Answer:

Perpendicular lines

Step-by-step explanation:

The graph below shows the lines when connected.

Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)

Answers

Answer:

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Step-by-step explanation:

Given the linear inequality

x ≤ 3

substitute the value of x = -2

-2  ≤ 3

TRUE

It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.

Also,

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

517 37/50+312 3/100 =?

Answers

Answer:

516 38/60+ 3/200= oo.15

In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.

Answers

3 out of 12

1 out of 4

yea hopefully correct

AHH PLEASE HELP PLEASE HELP PLEASE ASAP!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!
Which statements are true? Check all that apply.
3
0-2.5=-22
2.
1
-1.5> -0.5
-0.50
-2.5<-2
0
0 12
> 1.5
-1
-2
-3

Answers

Answer:

1. -2.5 = -2 1/2

3. -0.5 < 0

4. -2.5 < -2

WILL MARK BRAINLIEST DUE NOW!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,
Match each linear model to its inverse.
+2
y = -10 + 2
y = -x +
y =
- 2
Linear Model
Inverse
32 - 4y = 6
4x + 3y - 6
3x + 4y =-
42 - 3y -

Answers

Answer:

Min nikaribû bixwîne biborîne

Step-by-step explanation:

what is the the slope of the line through (2, -2) and (9, 3)

Answers

Answer:

slope is m= 5/7

Step-by-step explanation:

m= y2-y1/x2-x1

m= 3-(-2)/ 9-2

m= 5/7

Slope = change in Y over change in X

Slope = (3- -2) / (9 - 2)

Slope = 5/7

Which of the following statements is true?

a.
b.
c.
d.

Answers

Answer:

confused on what you are asking

Step-by-step explanation:

Someone can help me with this?

Answers

Answer:

D) 121 degrees

Step-by-step explanation:

A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary.

In this case, since supplementary angles add up to 180 degrees, we set up an equation:

<A+<B=180

(6x-19)+(11x-22)=180

17x-41=180

17x=221

x=13

Now we plug in x=13 for angle B:

11x-22

11(13)-22

143-22

121

Therefore, the measure of angle B is 121 degrees

What is 160/11 as a whole number

Answers

Answer:

14 6/11

Step-by-step explanation:

this is your answer hope it helps !!

Describe the error in finding the length of AB .

Should have taken the absolute value.

Should have measured to hundredths.

Should have lined up ruler starting at 0.

Should have subtracted 5.5 instead of 4.5.

The actual length of the segment is {Blank}
centimeters.

Answers

Answer:

Should have taken the absolute value

Actual length = 3.5 centimeters

Step-by-step explanation:

Length is always a positive value or zero

So one should take the absolute value which is always positive

|-3.5| = 3.5 where the | | denotes absolute value of what is enclosed

Help please!
Thank you!

Answers

Assuming that a car gets 28 miles per gallon of gas, how many gallons of gas are required for the car to go 560 miles?

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

What is the image of P(11,-4) using the translation (x, y) = (x– 17, y+2)?

Answers

Answer:

The image of P(11,-4) will be: P'(-6, -2)

Step-by-step explanation:

Given the point

P (11, -4)

The rule:

(x, y) = (x– 17, y+2)

Meaning the image of P(11,-4) can be determined by subtracting 17 units (moving left) from the x-values and adding 2 units (moving up) to the y-values.

Therefore,

(x, y) = (x– 17, y+2)

P(11, -4) → P'(11-17, -4+2) = P'(-6, -2)

Thus, the image of P(11,-4) will be: P'(-6, -2)

simplify (3+4i)-(4-2i)

Answers

Answer:

-1 + 6i

Step-by-step explanation:

Complex number addition  & subtraction:

Subtract/add the imaginary parts and then add real parts.

Open the parenthesis by multiplying the each term of 4 - 2i by (-1)

3 + 4i - (4 - 2i) = 3 + 4i - 4 + 2i

                       = 3 - 4 + 4i + 2i

                       = -1 + 6i

1) Johnny has $15 to spend on songs and podcasts. He wants to download at least 5 items. Songs cost $1.99 each and podcasts cost $0.75 each. Represent the scenario as a system of inequalities.

A. x+y≥5
1.99x+0.75y≤15

B. x+y≤5
1.99x+0.75y≥15

C. x+y≥15
1.99x+0.75y≤5

D. x+y≤15
1.99x+0.75y≥5

2) When solving the following system using elimination, which of the following will allow you to get opposites?

−4x+9y=9
x−3y=−6

A. Multiply the second equation by -3.

B. Multiply the second equation by -4.

C. Multiply the second equation by 3

D. Multiply the second equation by -1.

3) When solving the following system using elimination, which of the following will allow you to get opposites?

−4x−15y=−17
−x+5y=−13

A. Multiply the second equation by -4.

B. Multiply the second equation by 4.

C. Multiply the first equation by -4.

D. Multiply the first equation by -1.

Answers

Answer:

D then B then C

Step-by-step explanation:

sorry if wrong

Arun signed up for a streaming music service that costs $15 per month. The service
allows Arun to listen to unlimited music, but if he wants to download songs for offline
listening, the service charges $1.25 per song. How much total money would Arun
have to pay in a month in which he downloaded 35 songs? How much would he have
to pay if he downloaded s songs?

Answers

Answer:  he would pay a total of $58.75 if you include the cost of the cost of unlimited listening but for downloads alone it is 35 multiplied by 1.25 which would be $43.75 and another way to put it would be x×$1.25=cost and then another way to put it would you could put it as x×$1.25=cost cost+$15=total cost of everything

HELP HELP !!!! ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2.5g²

g = 4

Step 2: Evaluate

Substitute:                    2.5(4)²Exponents:                   2.5(16)Multiply:                        40

Answer:

40

Step-by-step explanation:

2.5g^2

2.5(4)^2

2.5(16)

40

Translate the phrase into an algebraic expression.
The product of y and 4.

Answers

Step-by-step explanation:

Product is multiplication:

4y

The price of a pair of jeans originally are $50. Today they are on sale for
$30. What percent off (percent discount) are the pair of jeans?

Answers

Answer:

40% off

Step-by-step explanation:

50x2=100

30x2=60

100-60=40

40% off

Andrea wants to mark off a quarter-mile course for a race, but all she has is a yardstick. There are 1,760 yards in a mile. How many yards does Andrea need to measure for her race course?​

Answers

According to the given statement Andrea have to mark 440 yards out of 1760 for her race course.

The yard is defined as:

A yard (yd) is a length unit used in various different systems, including US customary measures, Imperial units, and historic English units. It is 3 feet, 36 inches, or 0.9144 meters.

What exactly seems to be the conversion factor?

A conversion factor seems to be a number that can be used to multiply and otherwise divide one set of units by another set of units. The right conversion factor must be used when converting to something like an equivalent value. For example, to convert inches to feet, the appropriate conversion value equals 12 inches equals 1 foot.

According to the given information:

Want  quarter-mile course for a race.

Total yards  she has is a = 1760

We know that:

1 mile =  1760 yards

quarter-mile (.25) which means = 1760/4

                                                    = 440 yards

According to the given statement Andrea have to mark 440 yards out of 1760 for her race course.

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A manufacturing plant makes belts for appliances. On Wednesday, they produced belts with diameters 1 3/2 in., 7/16 in., 3/4 in., 5/8 in., and 1 5/16 in. Drag the fractions to order them from least to greatest.

Answers

Answer:

[tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Step-by-step explanation:

Diameters of the belt produced are given in fractions which can be converted to decimals to know their values.

Thus,

1 3/2 in. = [tex]\frac{5}{2}[/tex] in. = 2.5 in.

7/16 in. = 0.4375 in.

3/4 in. = 0.75 in.

5/8 in. = 0.625 in.

1 5/16 in. = [tex]\frac{21}{16}[/tex] in. = 1.3125 in.

Arranging the vales from least to greatest, we have;

0.4375 in., 0.625 in.,0.75 in., 1.3125 in., 2.5 in.  = [tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Jessica purchased a prepaid phone card for $25. Long distance calls cost 19 cents a minute using this card. Jessica used her card only once to make a long
distance call. If the remaining credit on her card is $16.26, how many minutes did her call last?

Answers

Answer: 27.27 seconds?

Step-by-step explanation:

25 - 16.26 = 8.74

19/8.74 = 2.2 (Rounded up)

60/2.2 = 27.27

HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG

Answers

Answer:

24 games can be played for $20

Answer:

20 ≥ 8 + 0.50g

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

What does a midpoint of a line segment create? a) a point that is equidistant to all points on the segment b) two line segments of equal length c) a point equidistant from the two endpoints

Answers

The option b and c is correct.

To solve this problem we must be aware of the concepts of line segment. And also what is a mid point.

When we connect two dots or two points it forms a line segment or we can say that line segment is part of line which is bounded by two points.

Mid-point of any line or line segment is that point which divides the line segment into two equal parts and also a point which is equidistant from the two endpoints.

So, a midpoint of a line segment divides the line segment in two equal parts and is also equidistant from the two endpoints.

Here, the appropriate option is b and c.

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Evaluate 32 + (8 - 2)· 4-(1 point)

Answers

Answer:

38

Step-by-step explanation:

This can be simplified by first checking the operational signs present in the question and the rule goes BODMAS so you add before you subtract so 32+8 = 40-2= 38 thank you

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