9sin(2x) sin (x) = 9cos(x)

Answers

Answer 1

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]


Related Questions

Can someone help me with number 5 :((

Answers

the answer is 83
a10=11+(10-1)8

*HELP*
Which of the following best describes aspect ratio?
Group of answer choices

A computing error caused by switching two adjacent digits.

An average resulting from the multiplication of each component by a factor reflecting its importance.

An indicator, sign or measure of something.

The ratio of the width to the height of a television screen.

Answers

Answer:  

: a ratio of one dimension to another: such as. a : the ratio of span to mean chord of an airfoil. b : the ratio of the width of a television or motion-picture image to its height.

Step-by-step explanation:

answer question 7, please with steps

Answers

Answer:

Angles FVE, FVD, and EVD have V as a vertex

Step-by-step explanation:

If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.

Answer:

All angles in question 7 have v as a vertex

Step-by-step explanation:

Vertex just means corner, so if v is the corner in the Angle then it has v as a vertex

If A : B = 5 : 8 and B : C = 4: 3, A : B : C =??​

Answers

Answer:

A:B:C = 5:8:6

Step-by-step explanation:

You don't have to change A, you only have to change B and C in the second ratio given. First, B is 8 and secondly, B is 4. You can multiply 4 in the second ratio and make it 8, but, remember, always do the same change to the other side too. So, if you change the 4 to 8 by multiplying by 2, multiply 3, which is C, by 2 too. Then, you get B:C as 8:6. Lastly, you get the final answer as 5:8:6.

Can someone help me please ?

Answers

Answer:

=

Step-by-step explanation:

1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.

2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.

3. 2 and 2 are equal.

Therefore, the correct symbol is =.

What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...

A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n

Answers

Answer:

A.) 4 * (1/5)^(n-1)

Step-by-step explanation:

a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4

a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5

a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25

a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125

a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625

. . .

The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Given sequence,
4, 4/5, 4/25, 4/125, ...

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...

Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].

Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Learn more about geometric progression here: https://brainly.com/question/4853032

#SPJ5


Multiply out and simplify:
3(X-3) + 2(x-5)

Answers

Answer:

5x-19

Step-by-step explanation:

distribute first

3x-9+2x-10

add like terms

5x-19

5x-19 is your answer

PLEASE HELP ME WITH GEOMETRY 15 POINTS

Answers

X=15 because you divide 2 on both sides and get x and 15

What is the sum of the 3rd
prime number and the 2nd
square number?

Answers

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

[tex]5.[/tex]

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]Silent Nature[/tex]

I am confused if someone could explain this it would be greatly appreciated

Answers

the question is asking for a point at which the two values would intersect, so i think that it is looking for a solution. in this case, i would solve the equations: y=0.15x+19 and y=0.19x.
the point of intersection for these equations is (475, 90.25). you are looking for the x value, so the answer would be 425 minutes of calling for the two plans’ costs to be equal.

Help please thank you!

Answers

The photo below has the answer

What is the x and y intercept of 2.5x+8y=240 please show your work.

Answers

Answer:

The x and y intercept are (96,30)

Step-by-step explanation:

8y=240-2.5x

y=240/8-2.5x/8

y=30-0.3125x

The y intercept=30

The x intercept=96 thus 30=0.3125x,x=30/0.3125

find the missing side lengths. leave your answers as radicals in simplest form.
u=?
v=?
WILL MARK BRAINLIEST ANSWER​

Answers

Answer:

v = 1

u = 2

Step-by-step explanation:

Given is a special right triangle with angle measures as follows:

90-60-30

The side lengths would be :

2x- x[tex]\sqrt{3}[/tex]-x

in the image it shows that the second side length (the one that sees angle measure 60) is [tex]\sqrt{3}[/tex] from this we can conclude x = 1 so:

v = 1 and

u = 2

Graph the linear equation.
3x - 2y = 6

Answers

Answer:

2x -2y -6 =0. ........

Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. PART A Use a model to represent the relationship between the feet of cotton cord and the number of key chains. PART B Use the model to explain how to find the number of feet of cotton cord Lucia needs to make 5 key chains.​

Answers

Lucía needs 13.33 feet of cotton.

Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:

8CC = 3KC 3 = 8 5 = X 5 x 8/3 = X 40/3 = X 13.33 = X

Therefore, Lucía needs 13.33 feet of cotton.

Learn more in https://brainly.com/question/13019339

If y = 132 when x =11, what is the value of y when x = 17?

Answers

Answer:

204

Step-by-step explanation:

The answer is 138!
Hope this helps

you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll?

Answers

Answer:

$0

Step-by-step explanation:

      The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.

(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)

Answer:

1 dollar

Step-by-step explanation:

Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)

I hope im right :D

The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP



1. 2. 5. 10. Euro

2. ? ? ? US dollars

Answers

Answer:

$2, $4, $10, $20

Step-by-step explanation:

1*2=2

2*2=4

5*2=10

10*2=20

After a 25% discount the price of a T shirt was $12 what was the price before the discount?

Answers

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

if you sold 60 cups of lemonade , how many cups of orange drink did you sell

Answers

Answer: 0, I think, hope this helps

Step-by-step explanation:

Answer:

you sold 40 cups of orange drink.

Step-by-step explanation:

60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)

240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )

120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be

240=2x+3y

240=2(60)+3y

240=120+3y

240-120=120-120+3y

120=3y

120/3=3y/3

40=y

Hope this helps!

There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, supposing that the first person chosen is a boy:

There will be 27 students.Of those, 12 are going to be boys.

Hence:

[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]

There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684

SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?

Answers

Answer:

Step-by-step explanation:

0.15x-0.08(26,500-x)=98.00

15x-212000+8x=98,500

23x+212000=98,500+212000

23x/23= 310500/23

x = 13500 (was invested in the account that gained 15% )

26500-13500=13000 (was invested in the account that lost 8%.)

Dalawang batong itim

Answers

Sa tabi mo.

[tex] \: \: [/tex]

Step-by-step explanation:

I havenot understand queation

Solve for X: square root 2x power of 2 +5 = 2

A. plus and minus 1

B. square root 2

C. plus and minus 2

D. no solution​

Answers

I think the answer is D

8h-2>3h+2
solve for h

Answers

Answer:

h >4/5

Step-by-step explanation:

8h-2>3h+2

Subtract 3h from each side

8h-3h-2>3h-3h+2

5h-2> 2

Add 2 to each side

5h-2+2> 2+2

5h >4

Divide by 5

5h/5 >4/5

h >4/5

Answer:

H can be any number larger than 4/5, i'm pretty sure

Step-by-step explanation:

8h-2>3h+2

8h-3h>2+2

5h>4

h>4/5

17 + 16s = -16 + 19s
Solve for s

Answers

Answer:

s is equal to 11

Hope this helps

Answer:

s=11

Step-by-step explanation:

17 + 16s= - 16 + 19s

resta 19s en los dos lados

17+ 16s – 19= -16

combina 16s y 19s para obtener -3s

17 – 3s = -16

reta 17 de -16 para obtener -33

-3 =

divide -33 entre -3 para obtener 11

s=11

100 points for right answer

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Cross-multiply.

x−3  / 5 = 6 /10

(x−3)*(10)=(6)*(5)

10x−30=30

Step 2: Add 30 to both sides.

10x−30+30=30+30

10x=60

Step 3: Divide both sides by 10.

10x 10 = 60  10

Answer:

hope it helps you................

Find the value of x.

No links please!

Answers

Answer:

Step-by-step explanation:

tan(26)=42/x hence x=42/tan(26)=86.113

write 47% as a fraction is simplest form.

Answers

Answer:

47/100

Step-by-step explanation:

47 = 0.47 = 47/100

Help please guys is this right?

Answers

Answer: Correct, are you dragging the line across?

Other Questions
MARKING BRAINLEIST IF YOU ARE RIGHT!! Please help me! ( ONLY ANSWER IF YOU KNOW)In a recent poll, less than 10 percent of American adults knew why the Bill of Rights was written! Something must be done to inform people, and you are just the person to do it. You will take on the role of someone who has recently been granted U.S. citizenship. Use your imagination to create your own name and story.As a new citizen, you are excited about the freedoms and rights that your new government protects. You would like to help other citizens, including immigrants like you, understand what these rights mean. Explore the tab box below to learn more about this assessment. To share your knowledge of the Bill of Rights with others, you will create a public service announcement that will appear around your community. Review the 10 amendments and explore examples of public service announcements to get started!To read the text of all 10 amendments, visit the Bill of Rights Institute.To see examples of public service announcements (PSAs), visit the Ad Council.Remember that you need to attract peoples attention with a catchy phrase or title. Then you need to keep their attention by being direct and creative. Reading or watching a PSA should take only a minute of peoples time. The public service announcement should include:Your imaginary nameAn explanation, in your own words, of one of the first 10 amendments to the ConstitutionAn explanation, in your own words, of why it is important for a person to know the amendment you choseAn example of how the amendment would be used todayYou can choose to present your public service announcement in many different formats. Here are a few suggestions to get you started. Brochure: Create a brochure about the Bill of Rights. Your brochure should be made on paper folded in thirds. You may use a computer program to create the brochure and use photos or drawing tools for illustrations.Television spot: Create a television spot about the Bill of Rights. Consider what images and information will best inform your viewers. Your television spot should be one to two minutes long.Podcast: Create a podcast about the Bill of Rights. Your podcast should be one to two minutes long. Consider how your tone of voice and possible sound effects might enhance your content.Poster: Create a poster about the Bill of Rights. Consider using photos or drawing tools to illustrate your poster. What does Ivan Jakovlevitch dowith the nose? reflective thought about gorge Herbert Mead of his theory of self?? Which word is unstressed in the last line of this stanza?watchwoodsfillsnow please help need this done by tomorrow thank you [PHOTO] tl Have Learned . Fill in the appropriate word to make the sentence correct. Write your answer on the space provided. The difference between cold and hot appetizers is their (1) Cold appetizers are served in (2) temperature while (3) appetizers literally are served in higher temperature. (4) appetizers are most of the time soup-based, made from bread, fried meats and other sizzling foods. On the other hand, 5) appetizers are made from fresh seafood, food wraps, and dip-based finger foods, particularly fruit and vegetables. Research and Piled Up 6 cm5 cm***-Find volume How did nationalism lead to the breaking of these empires?Austro-HungarianRussianOttoman HELLOOOO can somene help me Your going to love the new movie. solve the crossword usings hints below......................... what do psychologists call a relatively permanent change in behavior [tex]10 \times 25 \times 2255 + 52211[/tex]SolVe it. No spam. why does the skulls in the day of the death mean or why they are being used? What statement describes a controlled experiment katya studies spanish for three years, and then switches to pashto. when asked to remember spanish vocabulary she cant; instead she can only remember pashto vocabulary. this is an example of ________ interference. Diego can type 140 words in 4 minutes.At this rate, how long will it take him to type 385 words? How many words can he type in 15 minutes? If you get stuck, consider creating a table. How long does it take a 1.51 104 W steam engine to do 8.72 106 J of work? Round your answer to three significant figures. 1.02 101 s 5.77 102 s 7.21 105 s 1.32 1011 s PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?