Answer: Ground Speed = 91 km/hr, Bearing = 189°
<u>Step-by-step explanation:</u>
Step 1: Draw a picture (see attached) to determine the angle between the given vectors. Notice that I moved the wind vector 180° <em>so the head of the wind vector would line up with the tail of the plane vector. </em>This created an angle of 34° between the plane and wind vectors. <em>Why?</em>
- the dashed line is 45°
- 79° (plane) - 45° (wind) = 34°
Step 2: Solve for the length of the resultant vector using Law of Cosines
<em>c² = a² + b² - ab cos C</em>
c² = (111)² + (25)² - (111)(25) cos 34°
c² = 12,946 - 4601
c² = 8345
c = 91
Ground speed is 91 km/hr
Step 3: Solve for the bearing of the resultant vector using Law of Sines




A = 9°
<em>Reminder that we moved the wind vector 180° to create the resultant vector so we need to add 180° to our answer.</em>
Bearing = A + 180°
= 9° + 180°
= 189°
Answer:
$9.61 per shirt
Step-by-step explanation:
You take the total cost of $48.05 and divide it by the number of t-shirts which is 5.
48.05/5 = 9.61
Answer:
3404800
Step-by-step explanation:
7 x 4 x 4 x 10 x 10 x 8 x 19 x 2 = 3404800
Hope this helps!!!
Answer:
14.6 minutes
Step-by-step explanation:
Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.
So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since 1 century = 100 years)
So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries
= 365 ms/year × 2400 years
= 876000 ms
= 876 s
= 876 s/60s
= 14.6 minutes