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. 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. without a calculator, evaluate the following expressions to the nearest hundredth. expression value \sin(\pi-\theta)sin(π−θ)sine, left parenthesis, pi, minus, theta, right parenthesis \sin(\pi \theta)sin(π θ)sine, left parenthesis, pi, plus, theta, right parenthesis

Answers

Answer 1

The value of sin(π-θ) is equal to 0.84 and sin(π+θ) is equal to -0.84.

We are given a unit circle.The radius of the unit circle is 1.The point of the intersection of the ray and the unit circle is (0.54, 0.84).The height of the trigonometric triangle formed using the ray, and the angle (θ) is 0.84.The base of the trigonometric triangle formed using the ray, and the angle (θ) is 0.54.The hypotenuse of the trigonometric triangle formed using the ray, and the angle (θ) is equal to the radius of the circle, i.e., 1.sin(θ) = height/hypotenusesin(θ) = 0.84/1sin(θ) = 0.84sin(π-θ) = sin(θ) because the angle is in the second quadrant where the sin function is positive.sin(π-θ) = 0.84sin(π+θ) = -sin(θ) because the angle is in the third quadrant where the sin function is negative.sin(π+θ) = -0.84

Trigonometry is a department of arithmetic that research relationships among facet lengths and angles of triangles. the sector emerged within the Hellenistic international in the course of the 3rd century BC from programs of geometry to astronomical studies

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Related Questions

Five less than six times a number is
the same as seven.

Answers

Answer:

2

Step-by-step explanation:

hope this helps

the equation stated is 5-6x=7, so x = -1/3. i got this by subtracting the 5 on both sides, and the dividing by -6

Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?

Answers

Answer:

The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.

Step-by-step explanation:

The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:

210+0.15x≥1,000

Now, you can solve for x:

x≥(1,000-210)/0.15

x≥5,267

According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.

does anybody know it ??

Answers

Answer:  220/221

==========================================================

Work Shown:

The given values are

sin(u) = -12/13cos(v) = -8/17

Through the Pythagorean trig identity, we can find

cos(u) = -5/13sin(v) = -15/17

I'm skipping these steps, but let me know if you need me to go over them.

Since u and v are in quadrant 3, this means both sine and cosine are negative here

Using those four items, we can then say the following:

cos(v-u) = cos(v)cos(u) + sin(v)sin(u)

cos(v-u) = (-8/17)*(-5/13) + (-15/17)*(-12/13)

cos(v-u) = 40/221 + 180/221

cos(v-u) = (40 + 180)/221

cos(v-u) = 220/221

This is reduced as much as possible because the GCF of n and n+1 is always 1.

lol im doing the review to my midterm for math, and i completely forgot how to do this, can someone tell me the steps or something? i wish there was more context but this is all i can give.

Answers

Answer:

A

Step-by-step explanation:

Two interior angles on the same side of a transversal intersecting 2 parallel lines are supplementary.

121 + x + 70 = 180

191 + x = 180

x = 180 - 191

x = - 11

Can someone explain step by step process

Answers

Answer:

Step-by-step explanation:

3*7*10*10*10*10*10*10*10

(5+2=7)(since is multiplication you add)

21*[tex]10^{7}[/tex]=B

2*10*10*10*10*10

4*10*10

(5-2=3)(since is division you subtract)

0.5*[tex]10^{3}[/tex]=c

6v^2+13v-8= −3 solve the equation for all real solutions

Answers

Answer:

v = -5/2, 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial Roots

Step-by-step explanation:

Step 1: Define

6v² + 13v - 8 = -3

Step 2: Solve for v

Add 3 to both sides:                        6v² + 13v - 5 = 0Factor:                                              (2v + 5)(3x - 1) = 0Find roots:                                        v = -5/2, 1/3

What is the least common denominator used to add the fractions 1/18 and 5/12

Answers

Answer:

6

Step-by-step explanation:

Im right

determine the rate of change for the graph from 2010 to 2012​

Answers

Answer:

B)-20 students per year

I will give brainlist if you answer all these questions please! I promise I will :))

Answers

2. C
3. C
4. C

(all answers are c)

Find the mode of the data. 8,4,5,3,4,5,3,7,6​

Answers

Answer:

3,4,5

Step-by-step explanation:

appear mutiple times

Mode= 4, 5, 3

this is mode for the data because To find the mode, or modal value,it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode...hope this helps

Can someone help me please

Answers

Answer:

17 inches

Step-by-step explanation:

Pls help me -.-" Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part A: How many teenagers surveyed like burgers? Show your work. (4 points) Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed? Show your work. (4 points) Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

Answers

Answer:

A. 190 Teenagers

B. 200 Teenagers

C. A situation where we can have percentage greater than 100 % is found during increase in growth of population

Step-by-step explanation:

Part A.

Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part How many teenagers surveyed like burgers?

We were told from the question, 76% of the teenagers surveyed loved burgers.

Total number of teenagers = 250

Therefore, the number of teenagers surveyed that loved burgers =

76/100 × 250

= 190 teenagers

Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed?

Let the total number of teenagers surveyed be represented by x

Therefore,

25% of x = 50 teenagers

25/100 × x = 50

25x/100 = 50

Cross Multiply

25x = 100 × 50

25x = 5000

x = 5000/25

x = 200

Therefore, 200 teenagers were surveyed

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)

A situation where we can have percentage greater than 100 % is found during increase in growth of population

Answer:

Mark above brainiest!

Step-by-step explanation:

You cant make brainly without a second answer! ;] So mark them brainly!

Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.

Answers

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

Plz hurry I will give 17 points

their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.

The answers are organize,translate,increase,misplace

Answers

Your answer should be organize, correct me if I’m wrong !

Answer:

Organize

Step-by-step explanation:

I will give you brainlist and 5 stars if you answer :))

Answers

Answer:

I'm going to assume the question is asking for a unit rate, and it would be 2 minutes per bag

Step-by-step explanation:

Finding the slope of the line.

Answers

C. 11/8

20-9 = 11
12-4 = 8

Please help ASAP!!!!!!

Answers

Answer:

the third one i think :p

Step-by-step explanation:

need help pls asap ​

Answers

Answer:

D

Step-by-step explanation:

3x+5=2x+5

what is the factors of 125, 135 and 55

Answers

Answer:

125 = 1, 5, 25, 125

135= 1, 3, 5, 9, 15, 27, 45, 135

55= 1, 5, 11, 55

the common factor in all three numbers is 5

Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?

let x=
let y=

Answers

Answer:

13

Step-by-step explanation:

If we want to find out if there are an equal amount of boys and girls, then we do 22/2 which is 11. BUT, it says there are two more girls than boys. So...

11+2 since there are two more boys than girls. 11+2=13 girls.

A customer purchased a total of 16 washcloths and towels. Each washcloth costs $10.50 and each towel cost $15.00. The customer spent a total of 226.50. How many washcloths did the customer buy? (pls help me!)

Answers

3 washcloths and 13 towels

towels: 13x15= 195
washcloths: 3x10.5= 31.5

195 + 31.5 = $226.50

the customer bought 3 washcloths !

A model rocket is launched from the top of a building. The height (in meters) of the
rocket above the ground is given by f (t) = -4t² + 16+ + 12 where t is the time (in
seconds) since the rocket was launched.

Answers

Answer:

boba

Step-by-step explanation:

asbgd  hdjdjn126 = 57 round it to 58

You and some friends go to a book fair where booths are set out in rows. You
buy drinks at the refreshment stand and then walk 8 rows north and 2 rows
east to the science fiction booth. Then you walk 1 row south and 2 rows west
to the children's book booth. Where is the children's book booth in relation to
the refreshment stand?

Answers

Answer:

7 rows north of refreshment stand

Step-by-step explanation:

8 rows north and then 2 rows east followed by 1 row south and then 2 rows west will put you directly north of the refreshment stand but since you have traveled one row south, it will be 8-1 = 7 rows north of the refreshment stand

The attached graphic may help you understand better

Hope that helps

√72
Plzzzzzzzz help
I have 3 more
√619
√77
√89

Answers

Answer:

[tex]\sqrt{72} =8.48528\\\sqrt{619} =24.8797\\\sqrt{77} =8.77496\\\sqrt{89} =9.43398[/tex]

Step-by-step explanation:

hope this helps :)

How do you do it? Please help

Answers

Hope it can give u some help
hello

so what we can gather form the diagram given is that all the angles there will add up to 360°.

we can see that they have given one of the angles as 90° as indicated by the little square. so the first step to find x, we need to subtract 90 from 360.
360-90=270

now, we can form an equation to find x. we need to add the other two angles (x, 3x) and then make them equal to 270°.
3x+x=270
add like terms
4x=270
divide by 4
x=67.5°

hope this helps
have a nice day :)

What ratio is equivalent to 5 to 4

Answers

8:10 16:20 and well yea


Question8: Find the miss
exponent (y)
(3x³)(4x³) = 12x¹2

Answers

Answer: 12x⁶

Step-by-step explanation:

[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]

Brainlyst if u are right

Answers

Answer:

             D. (2, 7)

Step-by-step explanation:

The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.

It takes 1/3 cup of rice to make one serving. How many servings of rice can you make with 4 cups? pls answer I will mark brainliest

Answers

I would say twelve i think

duuno

1) What was an advantage the British forces had during the war?


2) What was a disadvantage for the British?


3) What was an advantage for the American forces?


4) What was one disadvantage for the Americans? HELP QUICK

Answers

(I’m assuming this is the Revolutionary War)
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn’t have access to gold which was a universal currency

Answer:

1. They had a fully formed government and powerful empire

2. They were fighting in an area that was 3,000 miles away from their home country

3. They knew the layout of the land

4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency

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