Answer:
(a) ðz/ðt = 1500miles/hr
(b) 10minutes
Step-by-step explanation:
Let x rep plane one
Let y rep plane two
ðx/ðt = 1440miles/hr = speed of plane one
ðy/ðt = 420miles/hr = speed of plane 2
ðz/ðt = ? = rate of change of distance btw two plane moving at right angle to meet at point o...
See attachment
Since x² + y² = z²... equation 1
So therefore (240² + 70²) ^½= z = 250 miles = distance between two planes
Differential rate of equation 1 gives
(2x* ðx/ðt ) + (2y* ðy/ðt) = 2z* ðz/ðt
Substituting to get ðz/ðt
(2*240*1440) + (2*70*420) = 2*250*ðz/ðt
750000 = 500 ðz/ðt
ðz/ðt = 1500miles/hr
B.
Since v = d/t where d = distance = 250miles
t = time = ? = time needed for controller to divert one of e planes , v = 1500miles/hr
t = d/v = 250/1500 = 10minutes
Answer:
U GOTS TO CLICK SETTINGS THEN CLICK CANCEL
Step-by-step explanation:
Angle 3 is 99 degrees.
Angle 2 is 61 degrees.
angle 1 is also 61 degrees.
Answer:
y =5x
Step-by-step explanation:

(5 - 0) = m(1 - 0)
5 = m(1)
5 = m

y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
Answer:
1/4 gallon
Step-by-step explanation:
4 quarts = 1 gallon, so 1 quart = 1/4 gallon.