Answer: Ф = 20
Step-by-step explanation:
sin2Ф = cos (Ф+ 30 )
if sinα = cosβ , then α and β are complementary ,that is they add up to be
.
Therefore : 2Ф + Ф + 30 = 90
3Ф + 30 = 90
3Ф = 90 - 30
3Ф = 60
Ф = 20
2*2^2+3 PEMDAS
2*4+3
8+3
11
Answer is 11
So, we know that the speed of the aircraft is 600 miles /per hour/. The question is, how many miles does it travel over 6 hours?
Since “per hour” means it travels that far in 1 hour, we need to take that speed (600mph) and multiply it by 6, since we were asked about the distance in 6 hours.
So:
600*6=3600
And we get a total of 3600 miles travelled in 6 hours, as opposed to 600 miles in 1 hour.
Answer:
There will be $634.05 in the account.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$390 in an account paying an interest rate of 2.7% compounded daily.
This means that 
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
This is A(18). So



There will be $634.05 in the account.
Answer:
1.4
Step-by-step explanation:
use distance formula