solve for x
sin(2x)=sin(x)
Explain steps please

Answers

Answer 1

There are multiple possible solutions for x, two examples are x = 0° and x = 360°.

How to find the value of x?

We need to solve the equation:

sin(2x) = sin(x)

Then we need to find a value x such that the sine of 2x is equal to the sine of x.

Now, because of the periodicity of the sine equation, there are a lot of possible values of x.

One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:

sin(2*0) = sin(0)

sin(0) = sin(0).

Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:

sin(2*360°) = sin(360°)

sin(720°) = sin(360°) = 0

Then x = 360° is another solution.

If you want to learn more about the sine function, you can read:

https://brainly.com/question/9565966


Related Questions

What is the surface area of the rectangular prism shown below?



A. 348 in2

B. 174 in2

C. 432 in2

D. 336 in2

Answers

The surface area of a rectangular prism with sides 9 inches, 8 inches and 6 inches is 348 inches²

Surface area of a rectangular prism

surface area = 2(lw + lh + wh)

where

l = lengthw = widthh = height

Therefore,

l = 8 inches

w = 6 inches

h = 9 inches

surface area = 2((8 × 6) + (8 × 9) + (6 × 9))

surface area = 2((48) + (72) + (54))

surface area = 2 (174)

surface area = 348 inches²

learn more on surface area here:https://brainly.com/question/3008257

Answer:

its 348, give other person branliest

Step-by-step explanation:

Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop​

Answers

Answer:

total 1 hour 15 mins

Step-by-step explanation:

3:45 - 5:00

lets count one by one

3:45 - 4:00 = 15 mins

4:00 - 5:00 = 1 hour

total 1 hour 15 mins

given ab and ac are lines that are tangent to the circle with m

Answers

Answer:

B

Step-by-step explanation:

the opposite angles of the quadrilateral ABDC are supplementary , that is

∠ BDC + 40° = 180° ( subtract 40° from both sides )

∠ BDC = 140°

Three baseball players are playing catch. Rosanne is 6.4 meters south of Lillian and 5.2
meters west of Jenna. How far does Lillian need to throw the ball to get it to Jenna? If
necessary, round to the nearest tenth.
meters
Submit

Answers

Answer:

8.2 meters

Step-by-step explanation:

This problem will form a Right angle triangle.

Where;

6.4 m and 5.2 m are the adjacent and opposite sides of the triangle while the distance that Lillian needs to throw the ball to get it to Jenna is the hypotenuse of the right angle triangle. Thus;

h = √(6.4² + 5.2²)

h = √68

h = 8.2

In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the score needed to qualify

Answers

Using the normal distribution, it is found that the score needed to qualify is of 88.32.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].

The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.04 = \frac{X - 80}{8}[/tex]

X - 80 = 1.04(8)

X = 88.32.

The score needed to qualify is of 88.32.

More can be learned about the normal distribution at https://brainly.com/question/24663213

I don't get this I need help?

Answers

Answer: 864

Step-by-step explanation:

The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.

The table below shows the number of people that attended a family reunion each year. (Need help ASAP)

Answers

The table of attendees in the family reunion is a linear regression

The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th year

How to draw the scatter plot?

To do this, we represent the years on the x-axis and the attendees on the y-axis

See attachment for the scatter plot

The equation of the line of best fit?

The scatter plot passes through the points

(0, 112) and (5, 136.5)

Start by calculating the slope, m using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (136.5 - 112)/(5 - 0)

m = 4.9

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 4.9 * (x - 0) + 112

y = 4.9x + 112

Hence, the equation of the line of best fit is y = 4.9x + 112

The attendees in the 15th year

This means that x = 15.

So, we have:

y = 4.9 * 15 + 112

Evaluate

y = 186

Hence, 186 attendees are expected in the 15th year

Read more about regression at:

https://brainly.com/question/4341286

can someone explain this pls

brainliest

Answers

You need to add up the sides in order to find your answer

If bryan ate 3\8 of a pizza, and d'marjay ate 3\6 of the same pizza, who ate more pizza?

Answers

Answer:

d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more

Answer: 3/6

Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.

For his new room, Darien's grandmother gave him a handmade quilt. The quilt is made up of 16 squares set in 4 rows of 4. The area of each square is 324 in? What are the dimensions of the quilt in inches?​

Answers

Answer:

5184 sq ins.

Step-by-step explanation:

There are 16 squares  each of area 324,

so total area of the quilt = 324 * 16

= 5184 in^2.

(4.5 x 10^9) + (4.5 x 10^-4)

Answers

This should be the correct answer,
4.5×10^9x + 0.00045x

Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .

How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign

Answers

Answer:

1,616.00

Step-by-step explanation:

sorry if this is wrong

The tax on the item costs $1425.89 is 106.94175 dollars.

What is tax?

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Given that, tax rate =7.5% and the cost of an item = $1425.89.

Here, tax = 7.5% of 1425.89

= 7.5/100 ×1425.89

= 0.075×1425.89

= $106.94175

Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.

To learn more about the tax visit:

brainly.com/question/16423331.

#SPJ2

the picture below is my question please hurry

Answers

Answer:

B) 70 °

Step-by-step explanation:

Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:

m ∠ AOB = 2 · x (1)

Where x is the measure of angle BOC, in degrees.

And the measure of the angle AOC is: ( x= 70°)

∠ AOC = 70°

A random number, x, is generated, where x is any real number.

(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.

Show that y = 20 + 8x - x?.​

Answers

Step-by-step explanation:

Say that x = 1, since x can be any real number.

From part a -> x +2 = 3

and -> 10-x =9

then multiply the two results to get y -> 3x9 = 27

Now look at y=20+8x-x and plug in the same value for x where x = 1

you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.

What is the value of y in the equation 5y - 3y + 1 = -4y + 13?

Answers

Answer:

y = 2

Step-by-step explanation:

   5y - 3y + 1 = -4y + 13

We only have addition and subtraction so move the terms on the other side of the equal sign with changed sign. +1 will be -1 and -4y will be +4y

terms with y = terms without y

    5y -3y +4y = 13 -1

                 6y = 12

                   y = 12/6

                  y = 2

What is the third quartile of the 8, 9, 12, 14, 15?

Answers

Answer:

14.5

Step-by-step explanation:

Case 2

Q3 =

[tex]( \frac{3}{4} (n + 1 ) - \frac{1}{2} )th[/tex]

and

[tex]( \frac{3}{4} (n + 1) + \frac{1}{2} )th[/tex]

[tex] \frac{3}{4} (5 + 1) - \frac{1}{2} = 4th \: = 14[/tex]

[tex] \frac{3}{4} (5 + 1) + \frac{1}{2} = 5th = 15[/tex]

[tex] \frac{14 + 15}{2} = 14.5[/tex]

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%

Answers

Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.

The z-score is given as

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be

For x = 0.37, then we have

[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]

For x = 0.39, then we have

[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]

Then the probability will be

[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

B. 17%

Step-by-step explanation:

Got it from a quizlet with very many five star reviews

what is the area of the figure below

Answers

135in.^2

Step-by-step explanation:

split into 2 shapes :

Triangle

A=bxh/2

= 5 x 6/2

= 15

Rectangle

A=bxh

= 20x6

= 120

120+15=135in.^2

Hope this helps!


Using positive and negative integers, find four pairs of integers with a sum of 5.

Answers

Answer:

-8, 13

-3, 8

6, -1

10, - 5

Step-by-step explanation:

A ten sided die is rolled.
P (3 or 5)

Answers

Answer: 1/5 or 20%



Step by Step Explanation:

Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.

Formula:  Number of outcomes divided by Favorable Outcomes


awarding 4 out of 50 minions a place in a dancing
competition.
solve:

Answers

The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.

How to solve the combination?

From the information given, it can be noted that this involves a combination rather than permutation.

In this case, the number of ways to select 4 out of the 50 minions will be:

= 50! / (50-4)!4!

= 230300

Learn more about combinations on:

https://brainly.com/question/1216161

this is from gradpoint, please help me y’all :((

Answers

Answer if im not misstaken its no

Step-by-step explanation:

because ur working with fractions they dont = the same thing. lmk if im wrong

Answer:

No, these functions fail to be inverses of each other.

Step-by-step explanation:

We have two functions :

f(x) = 3x + 2g(x) = [tex]\frac{x-2}{3}[/tex]

Let's take the function f(x) and take x = 1.

f(1) = 3(1) + 2f(1) = 5 [Keep this in mind]If f(1) is 5, then if g(x) is an inverse function, g(1) should be [tex]\frac{1}{5}[/tex]

Let's try the same with g(x).

g(1) = [tex]\frac{1-2}{3}[/tex]g(1) = [tex]-\frac{1}{3}[/tex]

Clearly, they are not inverse functions of each other.

Two pens and one eraser cost $35 and three pens and four erasers cost $65. Find the cost of the pencil and eraser separately.

Answers

Answer:

Pencil is $15 and erasers are $5

32° x x
Please help

Answers

180°-32°=2x (angles in a triangle always sum up to 180)

2x= 148°

x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)

Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.

Answers

(b, y) twice as much blue as yellow

(2, 1)

(4, 2)

(6, 3)

help please if you can thanks! ​

Answers

Answer:

The last option 8.5

Step-by-step explanation:

hope it helps

Solve for x to the nearest tenth!

Answers

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

HOPE IT WILL HELP YOU

Answer:

my answer is 11.4

Step-by-step explanation:

solve for the first triangle which has both sides then solve the other

Which object would weigh closest to 1 ton? ​

Answers

Answer:

The answer is 73 billion bars of gold

I believe it would be a car

Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost of the job is in the chart below.
Which of the following equations, where “h” represents hours worked and “p” the amount paid in dollars, represent an hourly pay rate that is Greater than the painter’s hourly rate?

Day 1: 5 hours worked; Paid $300
Day 2: 4 hours worked; Paid $240
Day 3: 6 hours worked; Paid $360

Choose all answers that apply:
A) P=6.5h
B) P=50h
C) P=65h
D) P=70h

Answers

Answer:

a is the answer

Step-by-step explanation:

What is 10÷2/3?

A.) 1/15

B.) 3/20

C.) 20/3

D.) 15

Answers

Let's first write out 10 ÷ 2/3:

  [tex]\frac{10}{\frac{2}{3} }[/tex]

When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:

      [tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]

Thus the answer is 15

Hope that helps!

   

Other Questions
Which three steps might be included in an algorithm for a digital thermostat? A. The thermostat uses the resistance detected to calculate thetemperature.B. The thermostat sends an electrical signal to either the airconditioner or the heater.C. The thermostat measures electrical resistance with its thermistor.O D. The thermostat automatically installs itself by wiring itself to thehouse's electrical system. X - y = -2 7x + 2y = -5limination method Tonya is interested in studying psychological disorders. If she wants to study the classification system MOST often used in the United States, she should read the _____. Write the equation of the given line in slope-intercept form: What role did the supreme court play in this declaration?. What are the sum of the interior angles in an irregular octagon? In the resolution, what do the words "alien subjugation, domination and exploitation" most likely refer to? control by foreign powers desire for independence challenges of independence need for self-determination As more and more firms around the world tighten their corporate governance mechanisms by setting up boards of directors made up of insiders, outsiders, and related outsiders, what will be the most likely effect on these firms' ethical standards and behavior Farmers company purchased equipment on January 1 year one for $96,000 The equipment is estimated to have a five-year life and a salvage value of 13,000 the company use straight line depreciation method at the beginning of year for farmer revise the expected life to eight years the annual amount of depreciation expense for each of the remaining years would be Ted is very worried about his friend Jamie. Jamie has beengoing out every night, drinking, getting high and not comingto class. He keeps missing Business Law, which everyoneknows is the most important class. Ted tells Jamie that ifhe stops drinking every night and doing drugs, Ted will takehim on a cruise to Mexico at the end of the semester. Jamieagrees and he stops partying. His grades improve, even inBusiness Law, and he finishes the semester. Jamie is superexcited about the trip and askes Ted when they are leavingfor the cruise. Ted tells Jamie that there is no trip, it wasjust an incentive to get him to stop partying. Tedcongratulates himself on his good work!Discuss this situation using LEGAL CONCEPTS we learnedin class. Which of the following best explains why Kennedy's early liberal domestic agenda largely failed while Johnson's largely succeeded? What is the message of this poster?Women should not help with the war effort.Women should join the armed services.Women should get jobs in the war industries.Women should conserve resources for the war effort. This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue. The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.Which one is right? Hello can you please help me with my French !! (Photo)Ex 2. Merci! Solve for x and round to the nearest tenth for both (please:) ) Please help ASAP!! Write a minimum of one paragraph sharing your opinion of the novel The outsiders. Include examples from the novel to support your opinion. Which internal system is responsible for transporting oxygen and nutrients through an animal's body? Over time, voting rights have been expanded to include which two groups?African Americanswomenpeople 16 years or olderwhite male property owners Explain two differences between realism vs. modern art