Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
If its $45 per day plus $0.22 cents, and you only have $77. You can only have the car for 1.7 days which adds up too $76.94.
Answer:
1. Supplementary and Linear pair, 2. Adjacent, 3. Adjacent, 4. Complementary and adjacent, 5, Vertical, 6. Adjacent
Step-by-step explanation:
1. is a Linear pair because the two angles form a straight line, this means they are also supplementary because the two angles must add up to 180 degrees which is a straight line.
2. Are adjacent angles, because they share a common side and do not share any interior points.
3. Are adjacent angles, because they share a common side and do not share any interior points.
4. These angles are complementary and adjacent. They both sum to 90 degrees which makes them complementary. They are also adjacent angles, because they share a common side and do not share any interior points.
5. These are vertical angles because they are opposite angles made by intersecting lines.
6. Are adjacent angles, because they share a common side and do not share any interior points.
949 rounded to the nearest ten would be 950 because 5 and above rounds up to the next 10.
