A carpenter wants to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. She will trace out the ellipse by using the “Thumbtack and string” method. How far apart should the thumbtacks be from each other to make the largest possible ellipse on the plywood?

Q: An elliptical riding path is to be built on a rectangular piece of property, as shown below. The…

A: The general equation of eclipse is x²/a² + y² / b² = 1

Q: Claude has a piece of cheese in the shape of a cone. He uses a straight cut to slice off a smaller…

A: After cutting a cone at different angles, we get different shapes.The surface or outline of the…

Q: 200m 65m 3. The Arc de Triomphe in Paris is a semi-ellipse. If the plane is 200 m and the maximum…

A: The equation of the ellipse is x2a2+y2b2=1, where a is the length of the semi-major axis and b is…

Q: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: An ellipse has a semi-major axis of 5cm and an eccentricty of 0.4. What is the maximum length of the…

A: Maximum length of ellipse = length of major axis = 2×(length of semi major axis)

Q: How do you determine the eccentricity of an ellipse? You can use a figure to express your thoughts…

A: To answer the question that H=how do you determine the eccentricity of an ellipse.

Q: What is the minor radius of this ellipse?

A: Query- What is the minor radius of this ellipse. Answer- An ellipse is a plane curve surrounding two…

Q: An elliptical hall somewhere in Bataan is a whispering chamber. Its dimensions are 40feet wide by…

A: The dimension of the elliptic room is 40 feet wide and 88 feet  long

Q: In your own words, explain how an ellipse could be made using 2 tcks, a piece of string and a…

A: See the attached document.

Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: Find the center, length of major and minor axis for ellipse 4x +9y + 24x = 0 Hence, sketch the…

A: Solutions

Q: 1. A semielliptical bridge is 150 feet wide and 80 feet tall at the center. How high is the bridge…

A: Solved below

Q: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.