Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).

4 sin(2θ) − 2 sin(θ) = 0

Answers

Answer 1

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk


Related Questions

Which is the graph of the linear inequality Ex-2y> -6?
10

Answers

Answer:

y<3 is a horizontal line, not included, but all the points below it

Step-by-step explanation:

[tex] - 2y > - 6[/tex]

[tex]y < 3[/tex]

Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?

Answers

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

         5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, 27

or

32, 27, 32

A right triangle could have the third side

√(27² + 32²) = √1753 which is about 41.87

or

√(32² - 27²) = √295 which is about 17.18

Notice all these fit within the original limits specified.

Answer:

The third side is greater than 5 but less than 59.

Step-by-step explanation:

Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.

So 27 and 32       The given two sides

   32 - 27 = 5        Greater than the difference   (greater than 5)

   32 + 27 = 59     Less than the sum   (less than 59)

 

Which of the following statements are true? Select all that apply.

Answers

explain better please?? Thanks

Answer:

They have 2 left one OR 2 right ones are true

Step-by-step explanation:

Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!

Answers

Check the picture below.

If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

Answers

hmm let's do that with synthetic division, Check the picture below.

What is one website you can visit in order to request free credit report from any of the three bureaus?

Answers

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Rational numbers on the number line

Answers

Answers:

A = -5/4B = -0.5C = 2

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

Explanation:

The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.

Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.

A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?

Answers

Answer:

30

Step-by-step explanation:

Answer:

95 minutes

Step-by-step explanation:

Deduct the flat rate from the total to see how much was spent on minutes

9.56 - 1.01 = 8.55

to get minutes divide that by the cost per minute

8.55/0.09 = 95

95 minutes

Strawberries cost $3.00 per pound. For each question
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.0

Answers

Answer:

A. 1/3 pound

B. 11/3 or 3.666666667

Step-by-step explanation:

:)

{3x−5y=4 -2x+6y=18

Please help solve for x and y

Answers

Answer:

hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be

In how many ways can a student answer the questions on the test if the student can leave answers blank

Answers

they can have multiple answers or leave it blank

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase

Answers

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

Complete the table for the provided graph.

Answers

Answers on following order: 5, 2, 4, 2, 8, 0

A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation

Answers

Answer:

you can buy 6 pounds of apples

Step-by-step explanation:

Which expression is equivalent to 8^4 (8 to the 4th power)

Answers

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

A desk is 39 inches wide. What is the width in yards

Answers

Answer:

1.0833 yd

Step-by-step explanation:

Inches    Yards

37"         1.0278 yd

38"         1.0556 yd

39"         1.0833 yd

40"         1.1111 yd

Have a great day! :D

What's
9/10 + (-3) in simplest form​

Answers

Reduce the expression, if possible, by cancelling the common factors.

Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]

Decimal form[tex] \: \:- 0.3[/tex]

If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?

Answers

Total = 65
65-23=42
42/3=14
Each necklace = $14

The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448

Answers

I’m not sure m8 but u gave me some points thanks man

True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.

Answers

True. That iw the awnser for a 70 and 2 degree angle! Please make me brainliest

The ratio of girls to boys on the school field trip is 6 to 7. There are 24 girls on the field trip. What is the total number of students on the field trip? NO LINKS!!!

A.28

B.52

C.4

D.13

Answers

Answer:

B.52 is the answer i think for the total number of kids

A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.

Answers

Using vector concepts, it is found that the components of the velocity are given as follows:

North: 205.21 mi/h.East: 563.82 mi/h.

How can a vector be represented in i and j notation?

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In which:

i is the horizontal(east/west) component.j is the vertical(north/south) component.

In this problem, we have that the magnitude and the angle are given as follows:

[tex]M = 600, \theta = 70^{\circ}[/tex]

Hence the north component is:

[tex]600\cos{70^{\circ}} = 205.21[/tex]

And the east component is:

[tex]600\sin{70^{\circ}} = 563.82[/tex]

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

Use the elimination method to solve the system of equations. Choose the correct orderly pair.

2x+4y=16
2x-4y=0

A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)

Answers

(2x+4y=16).....1

(2x-4y=0).....2

then take equation 1 plus 2

4x=16

x=4

then take equation 2 to solve for y

2x-4y=0

(2×4)-4y=0

y=2

therefore answer is D. (4,2)

please need help on this question thanks. see the screenshot

Answers

Check the picture below.

F = sales for Friday

we know that the total of weekend sales for Germany was F + 317 + 405.

we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]

1/2x - 2=3 number line

Answers

Answer:

x = 10

Step-by-step explanation:

I don't really get what you mean, so I just solved for x.

1/2x-2=3

We add 2 on both sides.

1/2x=5

Times both sides by 2 to cancel out the 1/2

x=10.

Hope this helped. :)

(sorry if I didn't do what you wanted me to.)

How many equal parts are there in this image

Answers

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

The grocery clerk can scan 2 items every second or 2/1 with 2 represrnting items and 1 representing seconds

Solve each proportion 3 = 72 – 7​

Answers

1. 504=3x
x=168

2. 64=20m
m=3.2

1. 3/7 = 72/x

By cross multiplication we get :

➟ 3x = 72 × 7

➟ x = 72 × 7/3

➟ x = 24 × 7

➟ x = 168

2. m/8 = 8/20

By cross multiplication we get :

➟ 20m = 8 × 8

➟ 20m = 64

➟ m = 64/20

➟ m = 16/5

Help me out cause this very difficult for me

Answers

9514 1404 393

Answer:

  a) 37

  b) n+d

Step-by-step explanation:

This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.

Given:

  a) someone bought 20 notebook computers and 17 desktop computers

  b) someone bought n notebook computers and d desktop computers

Find:

  a) the total number of computers bought

  b) the total number of computers bought

Solution:

a) The total number bought is found by adding together the numbers of each kind:

  20 +17 = 37 . . . total computers

__

b) The total number bought is found by adding together the numbers of each kind:

  n + d . . . total computers

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