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
bekas [8.4K]
3 years ago
12

URGENT!!! Write the product as a sum or difference.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

3 sin(41t) - 3 sin(t)

Step-by-step explanation:

The general formula to convert the product of the form cos(a)sin(b) into sum is:

cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]

The given product is:

6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]

Comparing the given product with general product mentioned above, we get:

a = 21t and b = 20t

Using these values in the formula we get:

6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]

= 3 [sin(41t) - sin(t)]

= 3 sin(41t) - 3 sin(t)

Therefore, second option gives the correct answer

You might be interested in
What is the GCD of the numbers 10 and 8
nlexa [21]
The answer to your question is 2 
5 0
3 years ago
What is 380 when it is increased by 18%
Yuri [45]
18%=0.18
380×0.18=68.4 increase
380+68.4=448.4

the easier way is to think 1 times any number is the same number so 380(1+0.18)=448.4 (just like adding tax to the price of something to see how much you'll actually pay)
6 0
3 years ago
If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is​ required?

A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

n = 170.7

Rouding up

The sample size required is at least 171

5 0
3 years ago
After how many places the decimal expansion of 13497/1250 will terminate
Ipatiy [6.2K]

Answer:

4

Step-by-step explanation:

13497/1250

12500 + 997/1250

12500 + 0.7976

12500.7976

5 0
3 years ago
Read 2 more answers
Write<br> 83<br> 50<br> as a decimal.
Katyanochek1 [597]

Answer:

0.83,0.50

Step-by-step explanation:

Since there are 2 digits in 83, the very last digit is the "100th" decimal place.

So we can just say that .83 is the same as 83/100.

So your final answer is: .83 can be written as the fraction

7 0
3 years ago
Read 2 more answers
Other questions:
  • Quotient of 24 and 3 plus x
    5·2 answers
  • a bucket contains 5 green balls, 2 yelllow balls, 6 red balls, 8 blue balls. You remove 4 balls, without replacement from the bu
    11·1 answer
  • Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side
    8·1 answer
  • Find the value of 10! / (10-2) !
    7·1 answer
  • The radius of a circle is 8 kilometers. What is the area?
    8·2 answers
  • What is the solution to -6x = -24
    8·2 answers
  • Find the mean of 86, 87, 91, and 128
    5·2 answers
  • What’s the equation from each line from the table?
    6·1 answer
  • Find the percentage change from<br> 40 to 60.
    6·1 answer
  • An urn has 6 white balls and 4 orange balls if Sam chooses 5 balls at random from the urn what is the probability that he choose
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!