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Alchen [17]
2 years ago
3

A railroad tunnel is shaped like a semiellipse as shown below. The height of the tunnel at the center is 58 ft and the vertical

clearance must be 29 ft at a point 21 ft from the center. Find an equation for the ellipse.
Mathematics
1 answer:
natita [175]2 years ago
3 0
Equation of an ellipse is given by x^2/a^2 + y^2/b^2 = 1

The ellipse passes through (0, 58), (0, -58), (21, 29)

0^2/a^2 + (58)^2/b^2 = 1
b^2 = (58)^2 = 3,364

(21)^2/a^2 + (29)^2/(58)^2 = 1
(21)^2/a^2 = 1 - 841/3364 = 3/4
a^2 = 4(441)/3 = 588

Required equation is x^2/588 + y^2/3,364 = 1
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Step-by-step explanation:

6 0
2 years ago
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Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D
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Answer:

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Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

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2 years ago
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