1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PtichkaEL [24]
3 years ago
9

Given: sin(18m-12)=cos(7m+2), find the value of m.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

You might be interested in
Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E
emmainna [20.7K]

The experiment is the development of a new soft drink

  • A possible outcome is "Prefer this new drink"
  • A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
  • A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

  • Experiment: Children vaccination
  • Outcome: Outcome that a parent supports parent should have their children vaccinated
  • Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

Read more about probability at

brainly.com/question/251701

#SPJ1

5 0
2 years ago
Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350
Ostrovityanka [42]

Answer:

5x + 25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Choose Yes or No to tell if the fraction 58 will make each equation true.
loris [4]
No it doesn’t make any of them true
5 0
4 years ago
Read 2 more answers
Pls help asapppp I dint know the answer and I’m running out of time
nlexa [21]

Step-by-step explanation:

I can barely see the questions

8 0
3 years ago
Brad and Angelina can mow their yard together with two lawn mowers in 30 min. When brad works alone it takes him 45 min. How lon
Kisachek [45]

Answer:

Wouldn't it be 45 minutes as well?

Step-by-step explanation:

If you think about it in a real life scenario, if one person does the job and then another person does the same job at the same speed wouldn't it be the same time? But if its not i think it would be 15 minutes because 45-30 = 15

6 0
3 years ago
Other questions:
  • How do you convert fractions into decimals
    14·2 answers
  • 3. Machine A packs 4, cartons in 5 hour.
    5·1 answer
  • sharice bought 8 songs that cost 0.79 each. She also bought an album. The total price of these items was 15.21 what was the pric
    11·2 answers
  • Will award brainliest!
    9·1 answer
  • 10p-2(3p-6)=4(3p-6)-8p please show work
    6·1 answer
  • On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no
    11·1 answer
  • Help please!!! I really need it
    7·1 answer
  • 35/[(13+7)/(5-1)]+15=
    11·1 answer
  • Find the value of x ?
    14·1 answer
  • Explain why the fractions in question number 2 are equivalent?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!