<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
That would be 423 total. :)
Answer:
63 weeks
Step-by-step explanation:
252 - 3x = 378 - 5x
+ 5x +5x
Add 5x to both sides
252 + 2x = 378
-252 - 252
Subtract 252 from both sides
2x = 126
Divide 2 from both sides
x = 63
Check you work by plugging 63 where the x is
252 - 3(63)
252 - 189 = 63
378 - 5(63)
378- 315 = 63
Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
Answer:
Kindly check explanation
Step-by-step explanation:
If the null is rejected, then we conclude that the average Consumption of beer and cider by customers who are 21 years and above is greater than 26.1
A type 1 error is committed if the null hypothesis is incorrectly rejected ; this means we will be concluding that customers who are 21 years and older have higher average Consumption when they actually do not. This may lead to a restriction on beer consumption in the city when there actually isn't a need for it.
For type 2 error, a false null is incorrectly accepted, in this scenario, we are saying that the consumption of beer and cider is not beyond the mean value when in actual sense it is.
