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

What will be the velocity of a when it travels 300 min 30 second?with explanation.​

Answers

you know that velocity and speed have the same equation right? so v= d/t
300/30= 10m/s
hope it helps

HELP PLS!! no links !!!

Answers

Answer:

the correct answer is b

Step-by-step explanation:

Like and give 5 star rating

Please not bots due in hour!

Answers

Answer:

Range is 7 to 42

Step-by-step explanation:

Can someone please help me with #1,2,3,4 and 5 using a motion detector?

The motion detector measures how far away you are from the device over 5 seconds.

For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).​

Answers

Problem 5

Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.

The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.

For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.

The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.

For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.

After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.

To recap, we have this summary of motion (or lack thereof)

The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detector

Each section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.

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

Problem 6

It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.

Answer:

The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the device

Once again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).

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

Problem 7

There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.

S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.

Answer:

The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.

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

Problem 8

This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.

The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.

Answer:

The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector

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

Problem 9

We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.

The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.

What decimal is 0.77 %

Answers

Answer:

0.0077

Step-by-step explanation:

Hey, wassup its sofie dossi! I would like to ask you what 567865676545678+456789098765432347898789 is?

Answers

Answer:

828383627262827294688

Step-by-step explanation:

When you add 567865676545678 to 456789098765432347898789, the best way to do it is by placing the biggest number above the smallest number on a paper. Visual representation does help!

To be clear, I am meaning in a format such as this;

456789098765432347898789

+                  567865676545678

----------------------------------------------

Then, just as you would add any simple 2 number equation such as 3+5, etc. you will look at these numbers from right to left. Look at the bottom right one first, then add it to the one above it, if it adds up above 9, you will carry the leftover number above the row to the left of your current row. So currently you are in row 1, and you will add up to get 17. That means you will keep the 7 and write it down at the bottom and carry the one to the next row, and place it above the 8.

Hope this helps!

Isaiah has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
He needs at least 140 points for a free movie ticket.

Write and solve an inequality that can be used to determine xx, the number of visits Isaiah can make to earn his first free movie ticket.

Inequality =
x - and _

Answers

Answer:

654

Step-by-step explanation:

You need to times the first 2 numbers nad then after that that you divide and then walaa ANSWER: 654

בוoit

What is the surface area of the rectangular prism below?

Answers

Answer:

8*8 *2=64

8*19 *2=304

8*19*2=304

672units is your answer

The surface area of the rectangular prism below is 736 square units

Surface area of rectangular prism

The formula for calculating the surface area of the rectangular prism is expressed as:

A = 2(lw + wh + lh)

Given the following parameters

l = 8

w = 19

h = 8

Substitute

SA = 2(8(19) + 8(19) + 8(8))

SA = 2(152 + 152 +64)

SA = 2(304+ 64)

SA = 2(368)

SA = 736 square units

Hence the surface area of the rectangular prism below is 736 square units

Learn more on surface area here:https://brainly.com/question/16519513

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Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
9 • n = 9n
9n • 108

Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT

Answers

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

what is the measure of line CD. explain​

Answers

So the answer will be 15-19 one of those numbers so 15 16 17 18 or 19

PLS HELP
What is 3/4 of a penny in decimal form?

Answers

Answer:

0.75 cents or $0.0075

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

pls mark brainliest if this helped :)

3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.

What is a penny?

The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.

During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”

Given: 3/4 of a penny

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

To learn more about decimal points refer to:

brainly.com/question/15205491

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Keshawn is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 5 miles.

Answers

Answer:

14 m actural sif 124075n

Step-by-step explanation:

14 - (-10)
Perform the indicated operation

Answers

Answer:

14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10    14 + 10 = 4

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle​

Answers

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

For what positive number is the cube of the number greater than twice it’s square

Answers

Answer:

You want to solve the equation

x2=2x3 ,

which is equivalent to

x2(1−2x)=0 .

The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either  x2=0  or that  1−2x=0 .

In the former case we have  x=0 , which isn’t a positive number. In the latter case you have  x=1/2 , which is the solution that we want.

Step-by-step explanation:


Logan is a great babysitter. He makes $9 an hour. Jeanette is an even better babysitter. She makes $16 an hour. Jeanette works 18 hours each week. How many
hours does Logan need to work in order to earn as much money as Jeanette earns in a week?

Answers

Answer:

18hx16money=288 dollars

Step-by-step explanation:

to ez and np

Answer:

32 hours a week

Step-by-step explanation:

First you have to find out how much Jeanette makes. You can do this by multiplying 16 x 18 since she makes $16 18 times a week. This gives you $288 that she makes each week.

Now to find how much Logan would have to work you take 288 and divide it by 9. You do this because you need to see how many times 9 goes into 288 to give you the amount of hours. When you divide you get 32.

A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?

Answers

Answer:

81:36

Step-by-step explanation:

117-36

= 81

Boom answer that's it

The ratio of empty spaces to filled spaces is 9 : 4.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

A parking lot has total = 117 spaces

Spaces filled with cars = 36

spaces left = total spaces - space filled with cars

spaces left = 117 - 36

spaces left = 81

Now, the ratio of empty spaces to filled spaces will be :

81 : 36

cancelling common factor that is 9 :

9 : 4

Therefore, the ratio of empty spaces to filled spaces is 9 : 4.

Read more about ratio at:

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math
(5 points) will mark brainliest!! pls help :)

Answers

(tv^3)/(u^8) (you can get the answer by cancelling out the same variables in the numerator and denominator

Answer:  [tex]\frac{tv^3}{u^8}\\\\\\[/tex]

This is the fraction tv^3 all over u^8

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

Work Shown:

[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

y=7x+7 standard form

Answers

Answer:

7x - y = -7

Step-by-step explanation:

Hope this helps!

Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?

A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr

Answers

Answer:

B. 1/2 hrs

Step-by-step explanation:

make the denominator the same

27/30         10/30

27-10= 13

13/30

a half is 15/30 and it's the closest answer since the question said estimate.

How would I write 129.701 in expanded form

Answers

100+20+9+0.7+0.1 i think goodluck

Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?

Answers

Answer:

18

Step-by-step explanation:

2 to 5 2+5=7 42/7=6

6x2=12. cooks

6x5=30 servers

servers subtracted by cooks equals difference

30-12=18

HELP WITH GEOMETRY HOMEWORK ASAP!!!

Answers

Answer:

26°

Step-by-step explanation:

90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)

154°+x°=180°

x°=180-154°

x°=26°

please help i am stuck

Answers

Explanation:

All of these are done the same way.

1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.

2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".

3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".

4. A line through the original point and point R will be perpendicular to the line, as you want.

_____

In problem 1, the point and line are obvious.

In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the given ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

a student required to 40% marks to pass in exam he got 190 marks and fail with 10 marks. find total marks?

Answers

Answer:

500

Step-by-step explanation:

40%=190+10

40%=200

10%=50

100%=500

Help help help help help pleases pelass thank you

Answers

Answer:

a' (-6,7) b' (-5,3) c'(-2,4)

Step-by-step explanation:

An executive has 6 skirts, 8 jackets, and 6 blouses that all coordinate. If an outfit consists of one skirt, one
jacket, and one blouse, how many different outfits does she have?

Answers

Answer: 288

Work Shown:

6*8*6 = 288

Why does this work? Consider a table that is 6 rows by 8 columns. The rows represent the number of skirts and 8 is the number of jackets. That produces 6*8 = 48 different skirt & jacket combos. We can extend this idea out to any number of items instead of just 2.

Answer:

6

Step-by-step explanation:

you keep counting until you reach the lowest number of whatever you need to make it equal

6-1-1-1-1-1-1

6-1-1-1-1-1-1

8-1-1-1-1-1-1

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