A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood. The ellipse will be drawn using a string atte to the board at the foci of the ellipse. a. How far from the ends of the board should the string attached? b. How long should the string be?

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A:

Q: 2. Given the stated information: Foci at (-5,0) and (5,0); length of the major axis is 12 units a.…

A: (2).   (a). Given: Foci of the ellipse: (-5, 0)  and  (5, 0) Therefore the center of the ellipse is:…

Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: What shape results from the cross-section of the rectangular pyramid below? Circle Triangle…

A: To determine the cross section of a pyramid as shown.

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

A:

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: On a certain youth league baseball diamond,the bases are 35ft apart.Assuming that homeplate and the…

A:

Q: ht

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

Q: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

A:

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

A:

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: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

A: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A:

Q: 61. Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A:

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

A: Explained below

Q: Draw a shape in Quadrant III (lower left) that is not symmetrical. Then draw the result of rotating…

A:

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: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

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: 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 distance between the vertices of an ellipse is 10. The distance between the foci is 6. What is…

A: Given query is to find the distance between directrices.

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

A:

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

A: consider that a whispering gallery has a length of 68 m and the foci are located 16 m from the…

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

A: A satellite  dish is given which has a paraboloid shape.

Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

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: Basaltic columns are geological formations that result from rapidly cooling lava. The Giant's…

A:

Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A: Draw the Ellipse and write major axis and minor axis then use formula to find out the foci.

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

A:

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: During one of Pepe's regular Sunday walking, he plays a two hour-cassette tape (one hour on each…

A: Solution: Let the initial radius of the tape is 1 and the playing time of cassette tape is 2 hours.

Q: In an ellipse, what are the two equal lengths that allow you to figure out the location of the foci?

A: In an ellipse, the foci can be find out with the lengths of the major and minor axes to find focu…

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: A racetrack is in the shape of an ellipse, 280 feet long and 50 feet wide. What is the width 10 feet…

A:

Q: The distance between foci of an ellipse is is 6 and its major axis is 10. Find the length of the…

A: distance between two foci = 2ae =6 major axis = 2a = 10 length of latus rectum = 2b2/a= 2a(1 - e2)…

Q: 1. The distance between the foci of an ellipse is equal to 8 and the second eccentricity is equal to…

A: Solution 1: Given that, distance between foci is 8. eccentricity is 1.33. Since we know that,…

Q: A flashlight is shaped like a paraboloid, so that if its light bulb is placed at the focus, the…

A: Given :  The paraboloid has a depth of 1.8 in  and the diameter on its surface is 6 in .   Schematic…

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: Congruent triangles are cut out of a square piece of paper 20 cm on a side, leaving a starlike…

A: Given that congruent triangles are cut out of a square having its side 20 cm. Let l be the length as…

Q: The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid that has…

A: Given, The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid…

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

A:

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

A: Answer is mentioned below

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A: we know equation of an ellipse is x2a2+y2b2=1here  a is the length of  semi major axis and b is the…

Q: Determine the eccentricity of an ellipse whose foci and directrices are 4 units and 9 units apart,…

A:

Q: Introduction outline about three iconic circles (ellipse, parabola, hyperbola)

A: To give an introduction about parabola, ellipse and hyperbola.