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zheka24 [161]
3 years ago
9

A booth at an amusement park sells sandwiches and a variety of sides. Each

Mathematics
1 answer:
rodikova [14]3 years ago
7 0

Answer: 3

Explanation: 7.50 - 5.25= 2.25 ÷ .75= 3

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An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the
Gnoma [55]

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

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3 years ago
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