Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer:
C
Step-by-step explanation:
6/9 simplified is 2/3 they're equal to each other so they're proportional
Hope this helps :)
Given:
m∠C = 65°
b = 5
c = 6
Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°
Answer: m∠B = arcsin(0.7553) = 49° (approx)
Answer:
-13/5
Step-by-step explanation:
So, he had 2 thirds then removed 2 sixths. You have to subtract the fractions.
2 sixths is equal to 1 third.
2 thirds-1 third= 1 third.
Grant has 1/3 of a cup of ice cream left in his bowl.
I hope this helped!
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