First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:


Now, let's add the components of the same direction:

To find the resultant bearing (theta), we can use the formula below:

The angle -86° is equivalent to -86 + 360 = 274°.
Therefore the correct option is b.
Answer:
62.4 hours
Step-by-step explanation:
For P:
Number of hours off on 10 hours of working=0.4
Number of hours on 2080 hours of working=2080/10*0.4
=83.2 hours
For S:
Number of hours off on 100 hours of working=7
Number of hours on 2080 hours of working=2080/100*7
=145.6 hours
The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.
Answer:
The greatest common factor is 2
Step-by-step explanation:
the greatest common factor is 2 because 6 98 and 140 are all numbers that can be multiplied by 2
Answer:
$7,012.76
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.07/1)(1)(5)
A = 5,000.00(1 + 0.07)(5)
A = $7,012.76
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.
Answer:
10x(2x+1)
Step-by-step explanation:
20x^2+10x
2*10*x*x + 10 *x
Factor out the common terms
10x(2x+1)