Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma-separated list. Let k be any integer.) sin 2x cos x cos 2x sin x

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

sin2xcos x + cos2xsin x = -1

Recall that;

SInAcosB + cosASinB = SIn (A+B)

SIn (2x +x) = -1

Sin (3x) = -1

[tex]x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ][/tex]

[tex]x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}[/tex]

[tex]x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}[/tex]


Related Questions

Question 16 (5 points)
Solve |2x - 3|= 4x
A x= 1/2
B) x = -3/2 or x = 1/2
C) No solutions
D) x= -3/2

Answers

Answer:

D. x=-3/2.

Step-by-step explanation:

4x÷2x=-3

2x=-3

x=-3/2

Please help asap I attached the question!!!!

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. if the decimal is being moved to the left, the exponent will be positive. all i really did was subtract the numbers without the exponents. but this is useless right now so the answer is: 2.1*10^7
Basically: 2.1 times 10 to the power of 7


Help it’s past due, sorry for the bad quality

Answers

Answer: The answer is B.

Step-by-step explanation:

What is the value of (4 minus 2) cubed minus 3 times 4? a.Negative 20 b.Negative 4 c.4 d. 20

Answers

Answer:

B. Negative 4

Step-by-step explanation:

Evaluate the function f (x) = 4x^2 - 10x + 2 find f (-7)

Answers

Answer:

268

Step-by-step explanation:

Substitute -7 where x is in the equation which would be 4(-7)^2 -10 (-7) +2

simplify the equation and you should get 268

Ben bought a bag of potatoes that weighed 2.25 pounds. He also bought 2 boxes of raisins that weighed 0.375 pound each and 2 bags of apples that weighed 1.5 pounds each. Ben carried all items except for one bag of apples, which his brother carried. How many total pounds did Ben carry?
A.
1.5 pounds

B.
4.125 pounds

C.
4.5 pounds

D.
5.625 pounds

Answers

Answer:

The correct answer is C. 4.5 pounds.

Step-by-step explanation:

Since Ben bought a bag of potatoes that weighed 2.25 pounds, 2 boxes of raisins that total weighed 0.750 pounds (0.375 x 2), and 2 bags of apples that weighed 3 pounds total (1.5 x 2), the total weight of the merchandise purchased by Ben was 6 pounds.

Now, since his brother carried a bag of apples, which weighed 1.5 pounds, the total weight carried by Ben was 4.5 pounds (6 - 1.5).

In the following picture, the perpendicular bisectors of triangle DFH are shown as dashed lines and meet at point K.

Answers

Answer:

DH= 42

HG=26

JH=21

DK=28.1

DF=46

EF=23

KH=28.1

FH=52

Step-by-step explanation:

I just took the quiz

Thank me later.

PLEASE HELP I WILL GIVE BRAINLIST PLEASEEEEEEE!!!!!!

Answers

The picture isn’t loading for me can you comment the question?

The price of a set of headphones is $79.00 plus 8% sales tax. What is the sales tax on this set of headphones in dollars and cents?

Answers

Answer: $6.32

Step-by-step explanation:

$79.00 x .08 = $6.32 sales tax

In the equation y = -2x + 5, what is the average rate of change (slope)?

a. 5
b. 2
c. -2x
d. -2

please explain​

Answers

Answer:

-2

Step-by-step explanation:

Slope = -2

y= Mx+b M= slope
y=-2x+b. -2 is in the m spot

Is there a proportional relationship between x and y? Explain.

Answers

as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Answer:

Where's the question?

Step-by-step explanation:

Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
O B. $184
C. $190
D. $223

Answers

Answer:

$190

Step-by-step explanation:

22.99 times 3 = 66.97

32.99 times 2 = 65.98

one pair of shoes is 54.99.

66.97 + 65.98 + 54.99 = 187.94

187.94 is closer to 190

The diagram shows the back fences of three houses in a small neighborhood. The lengths of the fences are given.

Pythagorean theorem: a2 + b2 = c2

A triangle has side lengths 12 meters, 5 meters, 13 meters.

Use the Pythagorean theorem to classify the triangle formed by the three fences. Which is true about the numbers 5, 12, and 13?
They are a Pythagorean triple that does not form a right triangle.
They are a Pythagorean triple that forms a right triangle.
They do not satisfy the Pythagorean theorem, but they do form a right triangle.
They do not satisfy the Pythagorean theorem, and they do not form a right triangle.

Answers

Answer:

answer is B

Step-by-step explanation:

Answer:

They are a Pythagorean triple that forms a right triangle

Step-by-step explanation:

At a summer job, Maya is painting houses. She charges a $100 fee to start a job and $25 per
hour for each hour she spends on the job. Complete the table belly to show how much
money Maya makes painting one house.

Answers

Answer:

the answer would 125

Step-by-step explanation:

Answer:

I think the answer will be 225. Because 1st she got 100 for starting the job and 25 $ for per hour. She did 5 hours. So five times 25 . It will be 125 and 100 . The answer is 225

Kit made contributions to a Roth IRA over the course of 30 working years. contations average $2.000 in the exact she
on the account was 6. Upon retirement, stopped working and making Roth IRA Contributions stead been on trommet
tax bracket. Factoring in taxes, what is the effective value of Roth IRA a brement assume annual compounding (3)
O $287.432.74
$305.432.74
$240 335.88
O $298 232.74

Answers

Answer: the third i think

If triangle FGH is congruent to triangle QRS, find the measure of triangle Q

Answers

Answer:

D. 28°

Step-by-step explanation:

As per diagram

∠F ≅ ∠Q∠F = 2x + 10 and ∠Q = 3x + 1

m∠Q = ?

2x + 10 = 3x + 13x - 2x = 10 - 1x = 9m∠Q = 3x + 1 = 3*9 + 1 = 28°

Correct option is D

HELPPPPPP ASAPPPP PLZZZ!!!
What is 80% of 200?
160
180
40
190

Answers

Answer: 160

Step-by-step explanation: ure welcome

Answer: 160

Step-by-step explanation:

80% of 200 = 160

Evan earns money for doing chores. He earns $3 for putting away laundry and $4 for unloading the dishwasher. Evan wants to earn a total of $36. Let x represent the number of times Evan puts away the laundry and y represent the number of times he unloads the dishwasher. Write a linear equation for the situation and determine which ordered pair below would be a solution. a.(0,8) b.(4,6) c.(3,6) d.(1,12)

Answers

Answer:B(4,6)

Step-by-step explanation: ima pro at math

3*4=12+           6*4=24

=36

The linear equation representing the situation is 3x + 4y = 36 and the coordinate (4, 6) represents the solution of this linear equation.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Evan who earns money for doing chores. He earns $3 for putting away laundry and $4 for unloading the dishwasher.

Assume that [x] represent the number of times Evan puts away the laundry and [y] represent the number of times he unloads the dishwasher.

The total money Evan needs = $36.

We can write the linear equation representing the situation is as follows -

3x + 4y = 36

It can be seen that, the coordinate (4, 6) would be the solution of the linear equation as -

3 x 4 + 4 x 6 = 12 + 24 = 36

Therefore, the linear equation representing the situation is 3x + 4y = 36 and the coordinate (4, 6) represents the solution of this linear equation.

To solve more questions on equation modelling, visit the link below-

https://brainly.com/question/18829645

#SPJ2

A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *

Answers

Answer:

He got an 80 percent.

Step-by-step explanation:

I believe it’s 80%.

NUMERATOR
DENOMINATOR

4/40

Answers

Answer:

4 = numerator

40 = denominator

Answer:

Step-by-step explanation:

here,

the numerator is 4 ( numerator is the no. on the top )

the denominator is 40 ( the denominator is the no. on the bottom )

Hope this helps

plz mark as brainliest!!!!!

An experiment involves studying the composition of genders of a set of triplets. What is the \nprobability that there are 2 boys and a girl in the set?

Answers

Answer:

37.5%

Step-by-step explanation:

The computation is shown below:

Here we assume that the 1st, 2nd and 3rd child be the triplet and it could be either a girl or boy

Now

B = Boy

G = Girl

The possible triplets are

(BBB) (BBG) (BGB) (BGG) (GBB) (GBG) (GGB) (GGG)

These are 8 triplets

Now find the sets that involves 2 boys and a girl

(BBG) (BGB) (GBB)

Now the probability is

P = 3 ÷ 8

= 37.5%

If f(x)2x-3 find the following.

Answers

Answer:

f is 6-

Step-by-step explanation:

solve: -5/9 - 2/9

please I really need this answer quickly​

Answers

Answer:

The answer is last option

Step-by-step explanation:

[tex] - \frac{5}{9} - \frac{2}{9} = - \frac{(5 + 2)}{9} = - \frac{7}{9} [/tex]

Answer:

3. -7/9

Step-by-step explanation:

Plz help, it’s been due for a long time now but I need help.

Answers

Answer:

< 4, < 10 corresponding

< 2, < 3 same side interior

< 8, < 12 other (opposite exterior)

< 6, < 12 alternate interior

< 1, < 2 other (supplementary)

< 15, < 11 alternate interior

< 8, < 9 same side interior

< 2, < 4 corresponding

Two lines that are stretched into infinity and still never intersect are called co-planar lines and are said to be parallel lines. ... Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

The expression 28 + 63 is equivalent to
1 91
2 5,7
3 6/7
4 13,7

Answers

Answer:

1) 91

Step-by-step explanation:

28 + 63 = 91

What is the equation of this graphed line?

A graph with a line running through coordinates (0, 7) and coordinates (8, -2)

Enter your answer in slope-intercept form in the box

Answers

Answer:

y = x2 - x1 / y2 - y1 so this is y = 8/-9x + the y intercept which is the line where it crosses the y line

Step-by-step explanation:

Write the equation of a line in slope- intercept form passing through these two points (-1,-2) and (1,4)

Answers

Answer:

y=3x+1

Step-by-step explanation:

4--2=6

1--1=2

6/2=3

slope is 3

4=3(1)+b

4=3+b

4-3=3-3+b

1=b

1 is the y intercept

Answer:

    y = 3x + 1

Step-by-step explanation:

(x₁, y₁) = (-1, -2)   & (x₂ , y₂) = (1, 4)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]= \frac{4-[-2]}{1-[-1]}\\\\= \frac{4+2}{1+1}\\\\= \frac{6}{2}\\\\= 3[/tex]

m = 3

y -y₁ = m(x - x₁)

y - [-2] = 3(x - [-1])

y + 2 = 3(x +1)

y + 2 = 3x + 3

      y = 3x + 3 -2

      y = 3x + 1

On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.

y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6

Answers

Answer:

y – 2 = 4x

3y = –9x – 6

Step-by-step explanation:

Answer:

a, c, d

Step-by-step explanation:

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?

Image of a coordinate grid with point R located at negative 4, negative 2.

Answers

Answer: -4 and 2

Step-by-step explanation:

negative 4 and positive 2 is the answer

Answer: (-4, -2)

Step-by-step explanation: I got an A+ on the test

Plz help me


Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was -$40. How much was one late fee?

Answers

Answer:

-10

Step-by-step explanation:

If he has four trucks and the total was -40 then one is 10

Divide 40÷10 =10

Answer: the answer is 10

Step-by-step explanation:

Other Questions
it is okay to a person to spend his/her time doing vices, and computer games? why? Which of the following is NOT a purpose of a conclusionsummarize information in a reportprovide a call to action or lesson learnedintroduce new information into the reportrestate the main idea presented in a report Where do i make the jumps? When previewing a text, what should you look for? Drag the correct characteristics to the table. Not all characteristics will be used. Select the characteristics that describe an autobiography. The author uses the pronouns he or she to describe the main character. The author depends on research from outside sources. The author uses the pronoun I to describe main character. The text contains the author's personal thoughts and opinions. The text tells an objective, opinion-free story. The text tells a personal story. Characteristics of Autobiography ill give you a brainliest if it is right Answer these questions:1. Why do you think people enjoy taking part in competitive sports?2. Do you think that it is a good idea for people to support a particular team? Why?/Why not?3. What is the difference between watching sport on TV and watching it live in a stadium?4. Do you think that major international sporting events have any real value?5. Do you agree that business is too involved in sport?6. Should children be encouraged to take part in competitive sport? Why?/Why not? which integer represents each situation deposit of $15 How were knights and samurai alike?Both were free to fight for whomever they wanted.Both wore heavy armor that would slow them down.Both preferred to use a bow and arrow when fighting.Both followed strict codes of honor to be brave and humble.helppppppppppp meeeeeeeeeee What is 15 3/5? 25919125 An example of a BIOTIC factor that can affect an ecosystem is:O EarthquakeO DroughtO DiseaseO Volcanic eruption Which expression is equivalent to 13(6x +3) p PLEASE ANSWER THE 2 QUESTIONS IN THIS SCREENSHOT FOR ME THANK YOU IF YOU DO AND HERE IS A BRAILIEST IF 2 PEOPLE ANSWER IT OF COURSE: Which statement describes the capsule at the end of a mosss sporophyte?A. It performs photosynthesis.B. It contains spores.C. It stores food.D. It absorbs nutrients. What is the motion of the object in section B of the graph? Explain By sending these children away, you are handing them a death sentence, says Jos Arnulfo Ochoa Ochoa, an expert in Honduras with World Vision International, a Christian humanitarian aid group. This abrogates international conventions we have signed and undermines our credibility as a humane country. It would be a disgrace if this wealthy nation turned its back on the 52,000 children who have arrived since October, many of them legitimate refugees. The Children of the Drug Wars, Sonia Nazario Which phrases indicate this passage is from an editorial? Check all that apply. handing them a death sentence an expert in Honduras a Christian humanitarian aid group undermines our credibility as a humane country would be a disgrace 52,000 children who have arrived private enterprise is run mainly to? Use the sliders to change the values of a, b, c, and d in the cosine function. Which equation has a maximum at (0, 1) and a minimum at ((StartFraction pi Over 3, negative 5)). Can anyone answer this please? Refer to the Newsela article "PRO/CON: Should We Abolish the Electoral College?"Part ARead the text under the heading "PRO: Let's Give All Voters an Equal Voice."Which claim does the author make as a pro for doing away with the Electoral College.The way the federal government is set up ensures that the minority has a voice.The popular vote determines the winner in a presidential election.The Senate and the House of Representatives have an equal voice in shaping government.It is important to ensure that small states have an equal voice.