The Ellipse , also called Presidents Park South , is a park in Washington, D.C. The lawn area is elliptical with a major axis of 1058 ft and minor axis of 903 ft . a. Find an equation of the elliptical boundary. Take the horizontal axes to be the major axis and locate the origin of the coordinate system at the center of the ellipse. b. Approximate the eccentricity of the ellipse. Round to 2 decimal places.
The Ellipse , also called Presidents Park South , is a park in Washington, D.C. The lawn area is elliptical with a major axis of 1058 ft and minor axis of 903 ft . a. Find an equation of the elliptical boundary. Take the horizontal axes to be the major axis and locate the origin of the coordinate system at the center of the ellipse. b. Approximate the eccentricity of the ellipse. Round to 2 decimal places.
Solution Summary: The author analyzes the equation of the elliptical boundary of a lawn with major and minor axes.
The Ellipse, also called Presidents Park South, is a park in Washington, D.C. The lawn area is elliptical with a major axis of
1058
ft
and minor axis of
903
ft
.
a. Find an equation of the elliptical boundary. Take the horizontal axes to be the major axis and locate the origin of the coordinate system at the center of the ellipse.
b. Approximate the eccentricity of the ellipse. Round to
2
decimal places.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Claude has a piece of cheese in the shape of a cone.
He uses a straight cut to slice off a smaller piece.
Which shape could be one of the faces of Claude's
smaller piece of cheese?
A. Ellipse
B. Square
C. Pentagon
D. Paralleloaram
OA
OD
Pluto travels around the sun in an elliptical path with the sun
at one focus. The minor axis of its orbit is 10,000,000,000 km. Find the
distance between Pluto and the sun at perihelion, the vertex closest to
the sun. Then find the distance between Pluto and the sun at aphelion,
6.
the further vertex from the sun.
A wooden plaque is in the shape of an ellipse with height 34 centimeters and width 46 centimeters. Find an equation for the
ellipse and use it to find the horizontal width, in centimeters, of the plaque at a distance of 7 centimeters above the center
point.
Round your answer to the nearest hundredth, if necessary.
Provide your answer below:
cm
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