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tamaranim1 [39]
3 years ago
6

The length of each side of a square measured s inches long. The area of the square is 47in squared. What is the length of one si

de of the square? Round to the nearest tenth.
Please help.
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

The length of one side of the square is 11.8 inches.

Step-by-step explanation:

Since a square has 4 sides and they are all equal, you want to divide 47 by 4.

You will get 11.75 inches per side.

However, since they want you to round to the near tenth, the answer will actually be 11.8 inches.

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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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