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musickatia [10]
3 years ago
9

A satellite dish is the shape of a paraboloid. The dish is 38 inches wide, and 10 inches deep. How many inches should the receiv

er be located from the vertex for optimal reception? (round to the nearest thousandth)
Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

9 in approx

Step-by-step explanation:

Step one:

given data

the shape of the satellite dish takes the form of a paraboloid.

the diameter of the dish is 38in wide

and 10 inches deep.

step two:

The expression for the paraboloid is

4ay=x^2

where y is the vertical axis of the  paraboloid

a is vertex to focus.

and x is the radius of the dish

x= 38/2= 19in

substituting we have

4a10 =19^2\\\\40a=361 \\\\

divide both sides by 40

a=361/40\\\\a=9.025

vertex to focus= 9 in approx

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Answer:

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