The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of 8 inches and a depth of 1 inch. How far from the vertex should the lightbulb be placed?

Q: Find the coordinates of the foci for the following hyperbola. (x – 5)2 (y + 7)² = 1 16 25

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Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Solution is given below

Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

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

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

Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Given, a radio telescope in the very large satellite Array at Socorro.New Mexico, has the shape of…

Q: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

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: A racetrack is in the shape of an ellipse 100 feet long and 50 feet wide. What is the width 10 feet…

A: Given that shape of ellipse is 100 feet long and 50 feet wide. Draw a rough sketch showing the given…

Q: .כ Find the ared of a parabola which is inscribed in a rectangle 40 cm long and 25 cm wide.

A: We know are of parabola is( 2/3) ×b×h Where b is base of parabola and h is height of parabola.

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The outer door of an airplane hangar is in the shape of a parabola. The door is 140 inches across at…

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Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=16x2+4y2=16. What is…

A: Let A=the area of the rectangle x=half the base of the rectangle So, A=2x·216-x22;0≤x≤4   =2x16-x2…

Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

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Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable…

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Q: The cables of a suspension bridge are in the shape of a parabola.The towers supporting the cable are…

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: A satellite dish has a shape called paraboloid, where each cross section is parabola. Since the…

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Q: Hi there! I'm trying to figure out how far from the vertex of the parabolic reflector should the…

A: when we have the equation of the parabola y2 = 4ax , then the  coordinates of the vertex will be…

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: A lamp has the shape of a parabola when viewed from the side. The light source (which is at the…

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Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: A certain bridge arch is in the shape of half an ellipse 134 feet wide and 34.6 feet high. At what…

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Q: A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what…

A: Given , a certain bridge is in the shape of half an ellipse which is104 feet wide & 32.3 feet…

Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source.  The…

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

Q: Given the directrix and vertex, what would the equation of the parabola be? (1, 2) O (y – 2)² = 6 (x…

A: We have to find the equation of parabola

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

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Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting cable are…

A: Given :- The cables of a suspension bridge are in the shape of a parabola. The towers supporting…

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: A geometry textbook gives the equation of a parabola as y = x^2, where x and y are measured in…

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Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the…

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Q: The cables of the suspension bridge are in the shape of a parabola. The towers supporting the cable…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Here we use the concept of conic section

Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge…

A: Cable is 116 meters high at 120 meters away from the tower. Answer and explanation is given below

Q: Given the ellipse x^2/16+ y^2/4=1. What is the area of the largest rectangle that can be cut from…

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Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

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: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: Sothea needs to find the surface area of this regular polygonal pyramid. What answer should she get?

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Q: The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable…

A: Given that, The cables of the suspension bridge are in the shape of parabola. The towers supporting…

Q: The cross section of a power plant cooling tower is in the shape of a hyperbola.  the base diameter…

A:

Q: A parabolic arch has a height of 16m and a width of 28m atthe base, If the vertex of the parabola is…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.