The answer:
the full question is as follow:
if A+B-C=3pi, then find sinA+sinB-sinC
first, the main formula of sine and cosine are:
sinC = 2sin(C/2)cos(C/2)
sinA +sinB = 2sin[(A+B)/2]cos[(A-B)/2]
therefore:
sinA+sinB-sinC = 2sin[(A+B)/2]cos[(A-B)/2] - 2sin(C/2)cos(C/2)
sin[(A+B)/2] = cos(C/2)
2sin(C/2)cos(C/2) = cos[(A+B)/2
and
A+B-C=3 pi implies A+B =3 pi + C, so
cos[(A+B)/2] = cos [3 pi/2 + C/2]
and with the equivalence cos (3Pi/2 + X) = sinX
sinA+sinB-sinC = cos(C/2)+ sin(C/2)
Answer: f(0) = 6.
Explanation:
Ther ordered pairs are: (x,y) or (x, f(x) )
So, (1,0) means that f(1) = 0 which denies the fourth choice.
(-10,2) means that f(-10) = 2 which denies the first choice
(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.
First, we determine the difference in the times between New York City and Athens. From the given above, we can conclude that the difference between the times is 7 hours. Then, we determine the time in New York when the arrived in Athens.
Time in New York : 7:30 am + (13 hours + 45 minutes)
= 21:15 or 9:15 pm of Wednesday
Then, we translate this to time in Athens by adding the difference to our answer above,
Time in Athens: 9:15 pm Wednesday + 7 hours
= 4:15 am of Thursday
Thus, the answer is letter C.
Answer: $20
Step-by-step explanation:
First, the earnings per share will be:
= $600 mill / 100 mill shares
= $6 per share
Since the retention ratio is 20%, it means that the payout ratio = 100% - 20% = 80%.
Therefore, the dividend per share will be:
=$6 × 80%
= $6 × 0.8
=$4.80
We will calculate then calculate market price as:
Dividend yield =Dividend per share / Market price
0.04 =$4.80 / Market price
Market price =$4.80 / 0.04
Market price = $120
The price earnings ratio will be:
= Market price / EPS
= $120 / $6
= $20
Answer:
4 pi or approx. 12.6
Step-by-step explanation:
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