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 light bulb 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: 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: Given a parabola's focus at (6, −4) and directrix at y = −7, how would you write its equation?

A: Equation of parabola: x-h2=4py-k Where vertex is (h, k) Focus is (h, k+p) And directrix y = k - p

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

A:

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: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

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

A: Consider the following figure:

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

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

A: Parabola is a locus of such points whose distance is equal from a fixed point and fixed line. The…

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 line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

A:

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

A:

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

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

A:

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: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

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…

A:

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…

A:

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: 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: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

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

A:

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

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…

A:

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: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

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

A: How far from the vertex should the light bulb be placed?

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: A carpenter wants to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. She…

A: to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood.

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: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

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: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

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

A: Given data: The diameter of the reflector is 4 inches and a depth of 1 inch. it means x=2 and y=1.…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: The base of the window is 44 in The height of window is 60 in From the center at base is 15 inches…

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

A:

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

A:

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: 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…