A window above a door is to be made in the shape of a semiellipse. If the window is 10 ft at the base and 3 ft high at the center, determine the distance from the center at which the foci are located.

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Q: A satellite dish antenna has a parabolic reflector dish that is 18 feet wide and 4 feet deep.  Where…

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Q: A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height…

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Q: Find the coordinates of the midpoint of side VT in the quadrilateral below.

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a…

A: P=2r+r(thetha)

Q: A tunnel has the shape of a semiellipse that is 15 ft high at the center, and 36 ft across at the…

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Q: If the plane shown below is perpendicular to the altitude of the cylinder, what is the perimeter of…

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Q: Sketch the ellpse and lalbel the verticas and ends faci, of the majon and minon axes.

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Q: A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of a…

A: curved surface area of cone= lateral surface area of cone

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: This is a problem of the maxima and minima concepts. For admitting most light into the window its…

Q: 1. Find the lateral area and surface area of a regular triangular pyramid with base edge length 6 ft…

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Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: Find the slant height of a regular square pyramid with base perimeter 32ft and surface area 256ft.

A: Find the slant height

Q: Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant…

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Q: Given a regular hexagonal pyramid of base edge 8 inches and height equal to 7 inches, find its…

A: Solved above problem. Follow step below.

Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

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Q: 30cm 30 cm 30 cm 100 cm 20сm 50 cm 30 cm

A: Given:- Let us assume Area of rectangle is = A1 Area of first Circle = A2 Area of second Circle = A3…

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Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

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A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: A plane intersects the prism shown parallel to the base. Which best describes the cross section?

A: I have provided solution in step2.

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Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

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Q: . If 1200 cm sq  of material is available to make a box with asquare base and an open top, find the…

A: Volume: Let x=length of a side of a square base y=the height There are 4 sides with each surface…

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A: We have to find the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a…

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A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

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A: The lateral area = 2alThe surface area = a2 + 2al where a is the base length and l is the slant…

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A: Given:

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A: Solve the above questions.

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Q: 5. Find the lateral area and surface area of a regular triangular pyramid with base edge length 10…

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A: In the above question we have to find how much fabric is required for the covering of teepee which…

Q: Two circles have radii of 6 cm and 8 cm and their centers are 20 cm apart. Find the length of the…

A: On solving this we will get

Q: 3. Quadrilateral QR ST is a dilation of quadršateral ORST, with the origin as the center of…

A: Take any point from quadrilateral QRST take S S (-2 , 10 ) S ' ( -1 , 5 )

Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

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Q: Find the slant height of a regular square pyramid with base perimeter 32 ft and surface area 256…

A: Use formula of area of square pyramid

Q: Find the area of the largest isosceles triangle inscribed in a semicircle of radius 10 feet, the…

A: Topic:- application of derivatives

Q: Find the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x

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Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…

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.