lfjoshua12
contestada

Suppose you are planning a party at an elliptical park with one game at each foci. The major axis of the ellipse is 80 yd and the minor axis is 28 yd. How many yards will the games be from one another? round to the nearest whole number

Respuesta :

YellowGold
Given:
Ellipse shaped park
Each focus has a game.
major axis = 80 yards
minor axis = 28 yards

The 2 focus points lie on the major axis.  To find the distance that separates the two games, we use this formula:

F = √(j²-n²)

F = distance from each focus to the centerj  = the semi-major axis (major radius)n = the semi-minor axis (minor radius)

F = √[(40yd)² - (14yd)²]
F = √1600 yd² - 196 yd²
F = √1404 yd²
F = 37.47 yd

The games are 37 yards away from each other

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