Find all solutions to the equation in the interval [0, 2pie]. Enter the solutions in increasing order. cos 2x = sin x

Answers

Answer 1

Answer:

cos2x=sinx

<=> 1-2sin^{2}x =sinx

solve and we have x=3pie/2, x=pie/6,x= 5pie/6

Step-by-step explanation:


Related Questions

Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

pls say fast wrong answers = report

Answers

Answer:

[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]

Step-by-step explanation:

[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex]                    [tex][ \ rationalize \ the \ denominator \ ][/tex]

         [tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex]                               [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]

        [tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]          

The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base

Answers

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

write the solution as a coordinate pair. SHOW YOUR WORK!!!!!

GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!

Answers

Answer:

(-4,8)

Step-by-step explanation:

    x + 4y = 28

+  -x + y = 12

5y = 40

y = 8

-x + (8) = 12

-x + 8 = 12

-x = 4

x = -4

How do you solve x^2+5x-14=0

Answers

Answer:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Can some one pls help get the answers

Answers

Answer:

[tex] \frac{1}{5} [/tex]

n(S) = 5

n(6) =1

So, P(6)= n(6)/n(S)

=1/5

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Answers

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

which graph represents the function f(x) = |x| - 4?

Answers

Answer:

So f(x) is y

y = |x| -4

Put in some numbers for x and see which graph matches the y output.

The first graph.

all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?

Answers

Fraction of students taking mandarin: 3/40

Hope it helps.


If the distance from D to D' is 10 and the distance from A to D is 5, what is the scale factor?

Answers:

1) 3
2) 2
3) 1/2
4) 1/3

Answers

Answer:

2

Step-by-step explanation:

Because 10/5 is 2

The scale factor for the given distances will be 2. The correct option is 2.

To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.

The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):

Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2

Therefore, the correct answer is option 2). The scale factor is 2.

To know more about scale factors follow

https://brainly.com/question/30215044

#SPJ2

which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0

Answers

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]

5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3  *[tex]\sqrt{2c}[/tex]

15  *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]

36 *[tex]\sqrt{2c}[/tex]

12 [3]*[tex]\sqrt{2c}[/tex]

Option C is correct

Hi can someone answer this question for me I would really appreciate it.

Answers

192 cubic inches

The volume of the pan, which is a right rectangular prism is length • width • height:
12 • 4 • 6 = 288 cubic inches.
That is also the volume of the water since the water is conpletely filled to the top.

If we have 1/3 of water left, that means 2/3 of the water was evaporated.

That means we will find 2/3 of the original volume of water (288 cubic inches):
2/3 x 288 = 192

Please, COM.MENT me back if my answer was correct.
IF IT IS, brainliest would be appreciated!
-SpaceMarsh, have a nice day!

Which is a better estimate for the height of a 5-story building?

a. 15 centimeters b.15 meters

Answers

Answer:

b. 15 meters

Step-by-step explanation:

This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.

Answer:

B bro

Step-by-step explanation:

Find the measure of "theta". Round all answers to the nearest tenth.

Answers

Answer:

[tex]\displaystyle \theta \approx 36.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ

Opposite Leg = 31

Adjacent Leg = 42

Step 2: Find Angle

Substitute in variables [tangent]:                                                                    [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig:                                                                                                      [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate:                                                                                                           [tex]\displaystyle \theta = 36.4309[/tex]Round:                                                                                                               [tex]\displaystyle \theta \approx 36.4[/tex]

Which graph represents a proportional relationship?

Answers

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line graph passing through the origin.

The only graph to pass through the origin is the top one

What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}

Answers

Answer:

y = 2/3x - 7.

Step-by-step explanation:

Using the point-slope form of a straight line:

y - y1 = m (x - x1) so we have

y -(-5) ) = 2/3 (x - 3)

y + 5 = 2/3x - 2

y = 2/3x - 7.

Answer:

y = 2/3x -7

Step-by-step explanation:

We know the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3 x +b

Substitute the point into the equation

-5 = 2/3 (3)+b

-5 = 2+b

Subtract 2 from each side

-7 = b

The equation of the line

y = 2/3x -7

I need help with these questions please answer :(

Answers

Answer:

1. Electrons

2. amphere

3. closed

4. positive to negative

5.open

Which expression is equivalent to 96?​

Answers

Answer:

[tex]4\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{96}[/tex]

[tex]\sqrt{2*2*2*2*2*3}[/tex]

[tex]2*2\sqrt{2*3}[/tex]

[tex]4\sqrt{6}[/tex]

It takes the staff 7.2 hours to clean 27 rooms in hotel many hours would it take them to clean 15 room? srep by step​

Answers

Answer:

4

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.





Which of the following is most likely to happen if another 200 guests spin the spinner?

Answers

ticket to future game

Step-by-step explanation:

it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .

Hey , can you please answer this? It’s urgent I need it for tomorrow.

Answers

Answer:

Step-by-step explanation:

object       X-axis            Y-axis             y = x               y = -x

(0,6)          (0 , -6)            (0,6)                (6 ,0)             (-6 ,0)

(-3 , 5)       (-3, -5)            (3 , 5)              (5 , -3)           (-5 , 3)

(-4 , -6)      (-4 , 6)           (4 , -6)              (-6,-4)           (6 , 4)

(8,-3)         (8 , 3)             (-8,-3)              (-3, 8)           (3 , -8)

(0,3)           (0 ,-3)           (0 ,3)                ( 3, 0)          (-3 , 0)

(0, -9)          (0 , 9)           (0 ,9)              (-9 , 0)         ( 9 , 0)

(5,0)           (5, 0)              (-5,0)             (0 , 5)           (0 , -5)  

(-2,0)           (-2,0)            (2,0)               (0, -2)         (0,2)

(-7 , 8)        (-7 , -8)          (7 , -8)             (8, -7)           (-8,7)

(12 , -6)      (12, 6)           (-12,-6)              (-6,12)          (6 ,-12)

When a point is reflected over x-axis, x-coordinate remains same and y-coordinate  change to its opposite sign.

When a point is reflected over y-axis, y-coordinate remains same and x-coordinate  change to its opposite sign.

When a point is reflected over y = x axis, x-coordinate and y-coordinate change their places.

When a point is reflected over y = -x axis, x-coordinate and y-coordinate change their places and are negated

Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]

Answers

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

Name a geometric figure that could be the height of a tree

Answers

Answer:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig

Uhh.. Hello can you please answer this? I am actually having hard time answer this activity.. Please!! Im not from Us im from Philippines and no one answeering my question correctly they're all useless!! HELP ME!! T^T​

Answers

Mean=all added together divide by total amount

median order them all and the middle number

mode the most common number

hope this helps you find out the answer

Help help help help

Answers

Answer:

its the second option

Step-by-step explanation:

Answer:

y = 3x - 4

Step-by-step explanation:

x = 2:

3(2) - 4 = 2

x = 3:

3(3) - 4 = 5

x = 4:

3(4) - 4 = 8

x = 5:

3(5) - 4 = 11

Help me plsssssssss

Answers

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

SO:-

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

What is 5 7/8 - 1 1/8

Answers

Answer to this equation:

4 3/4

Answer:

4.75

Step-by-step explanation:

This is what I got. have a nice day:)

When a = 1 and b = 5, what is the value of c?

Answers

Answer:

5.1

Step-by-step explanation:

a² + b² = c²

1² + 5² = c²

1 + 25 = c²

26 = c²

c = 5.1

Answer:

The constant of variation is k =

3/8

When a = 1 and b = 5, what is the value of c?

3/40

Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?

Answers

Answer:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP

Answers

Answer:

The distance between X and Z is approximately 95.99 km

Step-by-step explanation:

Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.

(For Diagram Please Find in Attachment)

Thus, The parameters are

The distance of Y from X = 85 km

The bearing of Y from X = 190°

The bearing of Z from Y = 140°  

The bearing of Z from X = 180°

Now,  

In triangle XYZ, we have

∠YZX = 180° - (130° + 10°) = 40°

Therefore, Apply the sine rule here, we get

(85 km)/sin(40°) = XZ/(sin(130°))

XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km

The distance between X and Z ≈ 95.99 km

Other Questions
Pls Hurry!1. Breakfast Food Company A conducts a research experiment that shows that one of their products, Cereal A, is much healthier than cereals made by other companies. Is this an example confirmation bias? Why or why not? 2. John wants to test sports drinks to find the best one to drink during the soccer season. Every day after practice, John drinks a different sports drink and writes down how good it tastes. At the end of the week, he looks at his data and finds that Sports Drink A is the best. Is this confirmation bias? Why or why not? Supporters of Andrew Jackson believed that ordinary people _____. should vote in elections and hold public office should vote and run for office if they owned property could not be trusted in the political process were not equal in status to the wealthy A constellations changing position in the sky, at the same time of the evening, over a period of several weeks is evidence that:a- Earth is round b- Earths axis is tilted. c- Earth rotates on its axis.d- Earth revolves around the sun. What is the first step to solve the equation 12z - 21 = 92? After a certain number of football matches , a footballer averages 1 goal per game.He only scored 2 goals in the next 10 games and his average dropped to 0.8 goals per game .How many football matches did he play altogether? Quines y cmo supervisaban la forma en que se desarrollaban los trabajos? Given the following information, in which medium is the velocity of light the highest? Decruitment is the planned elimination of ________ in an organization. A) jobsB) managerial hierarchy C) cross-functional teams D) departments 1. Which of these is an imaginary line?a. Equator b. Longitude c. Latitude d. all of these The volume of the rectangular prism is how many cubic centimeters CAN SOMEONE PLEASE ANSWER THISS ASAP PLEASEf(n) = 10(1.02)nPart A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points) =0.56x0.25n=0.20x0.03m=0.56x-0.25n=0.20x-0.03Find the sum of m and n. Show all work of explain how you solved The extinction of the dinosaurs happen at the end of which period Who knows a lot about proofs in geometry? Please message me! This question is based on the accompanying documents. The question is designed to test your ability to work with historical documents. Some of these documents have been edited for the purposes of this question. As you analyze the documents, take into account the source of each document and any point of view that may be presented in the document. Keep in mind that the language used in a document may reflect the historical context of the time in which it was written. An enduring issue is a challenge or problem that has been debated or discussed across time. An enduring issue is one that many societies have attempted to address with varying degrees of success. Task: Identify and define an enduring issue raised by this set of documents Using your knowledge of social studies and evidence from the documents, argue why the issue you selected is significant and how it has endured across time a container has 16 1/2 cups of lemonade. Asher gives each of his classmates 3/4 of a cup if lemonade. if asher gives away all of the lemonade how many classmates does asher give lemonade to What is a prism?A. Something that measures the energy of light wavelengthsB. Something that raises electrons to higher energy levelsc. Something that combines colors into a single sourceD. Something that splits up light into different colors Find each percent of change. State whether the percent increase or decrease. Please solve and show your work please.A) original : 233 new: 200 When Beowulf realizes that the battle with the fire dragon will go against him, hea. dies.C. curses fate and blames God.b. continues to fight.d. allows the fire dragon to inflict a mortal blow. 4x-5y+2x+4+6+9y+7x+2