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3 years ago

15

Find the area of the largest trapezoid that can be inscribed in a circle of radius 1 and whose base is a diameter of the circle.

1 answer:

ki77a [65]3 years ago

4 0

<span>Answer:
let x = shortest base of the trapezoid
A = h (x/2 + r) = âš(rÂ˛ - (x/2)Â˛) (r + x/2)
= âš(1 - (x/2)Â˛) (1 + x/2) .... if r = 1
dA/dx = (2 - x - xÂ˛) / (2âš(4 - xÂ˛))
= 0 at x = 1 .... which is a relative maximum because dÂ˛A/dxÂ˛ < 0
A = (3/4) âš3</span>

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Answer:

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Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

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where

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$(x_2,y_2)$ are the coordinates of the second point

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Read 2 more answers

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KonstantinChe [14]

Answer:

1 Adult ticket=$21.50 ; 1 Children ticket=$15.50

Step-by-step explanation:

3A+4C=126.50

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