An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How wide is the arch at the height 8 feet above the base?

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: In an ellipse, the foci are at (-4, 3) and (4, 3) and one vertex is at (6, 3). How long is the major…

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Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). A…

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Q: The vertical ends of a cylindrical tank are in the form of ellipses with major and minor axes of…

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Q: A racetrack is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet…

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Q: Two friends visit a whispering gallery (in the shape of a semiellipsoid) where they stand 100m apart…

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Q: A racetrack is in the shape of an ellipse, 100 feet long and 70 feet wide. What is the width 10 feet…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10,…

A: NOTE: Refresh your page if you can't see any equations. . here foci n y-axis, which means the…

Q: The arch of a tunnel is in the form of a semi-ellipse. The distance between the bases of the arch is…

A: From the given information the current situation can be represents as shown below, From the above…

Q: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100 feet.The…

A: Given: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100…

Q: The base of an object is an ellipse with axis lengths of 10 cm and 8 cm. Since the intersection of…

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Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: Consider the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of a rectangle…

A: Given that the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of a…

Q: Find the dimensions of the largest rectangle that can be inscribed in the ellipse 9x² + 16y² = 144.…

A: 9x2+16y2=1449x2144+16y2144=1x216+y29=1x242+y232=1it is in the form of ellipse…

Q: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

A: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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Q: A race track is in the shape of an ellipse. The track is 100 feet long and 50 feet wide. Find the…

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (−5, −1) and (−5, −5).

A: Here the y coordinate of the focus is Changing so we can say that major axis of the ellipse is…

Q: 2. The arch of a bridge is in the shape of a semi ellipse having a horizontal span of 40 meters and…

A: To find the height at the required value then you should have the equation of the ellipse.

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: An ellipse has an equation of 225x2+400y2=90000. What is the maximum area of a rectangle that can be…

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Q: A race track is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet…

A: Given: A race track is in the shape of an ellipse 80 feet long and 60 feet wide.  So, the major axis…

Q: An arch 18 m high has a form of parabola with a vertical axis. The length of the horizontal beam…

A: NOTE: Refresh your page if you can't see any equations. . from the given data, draw a figure

Q: A rectangle with sides parallel to the coordinate axes is inscribed in an ellipse (Figure 12a)…

A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: The line through the foci intersects an ellipse at two points called _____.

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Q: a building facade is in the shape of a semi ellipse, with the major axis as the span. if the span is…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 6,…

A: Since foci is on y axis therefore it is a vertical ellipse.

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: A building facade is in the shape of a semi ellipse, with the major axis as the span. If the span is…

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Q: If the center of an ellipse is (3, -2),the major axis is horizontal and parallel to the x-axis and…

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Q: One of St. Matthew's Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high…

A: Given: Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high at the sides…

Q: Picture of question is attached.

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Q: A certain bridge arch is in the shape of half an ellipse 116 feet wide and 34.8 feet high. At what…

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Q: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

A: Here we us ethe standard form of the parabola vertex at (h,k) is  (x- h)2 =4a(y-k)

Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 8,…

A: Given, Length of major axis = 8 Length of minor axis = 4 Center = (0, 0) Foci = y - axis

Q: A one-way road passes under an overpass in the shape of half an ellipse, 15 ft high at the center…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: Given: A search light is shaped like a paraboloid of revolution. If the light source is located 4…

Q: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: A satellite dish has the shape of a parabola when viewed from the side. The receiver (which is at…

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Q: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

Q: The area of the ellipse+: 25² = 1 is 30π. What is the value of a?

A: solution:-we know that the formula of area for an elipsex2a2+y2b2=1Area=πab

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (3, 5) and (3, 1).

A: This is solved in this way

Q: A race track is formed by two concentric ellipses. The outer ellipse has a major axis of 270m and a…

A: To find: The area of track. Given: The area of ellipse having major radius a and minor radius b is…

Q: 3. An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet.…

A: In this question, we need to find how wide is the arch at a height of 8 feet above the base.

Q: A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a…

A: Given: A whispering gallery has a length of 314 meters The foci are located at 85 meters To find:…

Q: An arch in the shape of an arc of a parabola measures 6m across the base and its vertex is 2.5m…

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Q: What is the equation of a horizontal ellipse with a center at point (-2,4), a major axis that is 8…

A: Given : Center (-2,4), Length of major axis = 8 units Length of minor axis = 4 units   To find :…

Q: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

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