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Parabolas Word Problems
- A cable of a suspension bridge is in form of a parabola (#3165)
A cable of a suspension bridge is in form of a parabola whose span is 40 m. the roadway is 5 m below the lowest point of cable. If a extra support is provided across the cable 30 m above the ground level, find length of the support if the height of the pillars are 55 m
- A mirror in the shape of a paraboloid (#2784)
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet ...
- After Mr.Zillmer got hit in the head with a pitch (#1911)
After Mr.Zillmer got hit in the head with a pitch. Mr. Rukamp came up to bat. The equation h=-.004d2 +.96d+3 represents the path the ball took after Mr. Rukamp hit the first ...
- An arch is in a form of a parabola (#1633)
An arch is in a form of a parabola which the vertex on the top. if it is 45m wide on the base and 18m high on the ...
- Determine the distance across the base (#1914)
Determine the distance across the base of a parabolic arch that measures 30 feet at its highest point if the roadway through the center of the arch is 48 feet wide and must have a minimum clearance of 15 feet.
- Find two numbers such that (#1166)
Find two numbers such that their sum is 20 and the sum of their squares is as small as possible.
- The main suspension cables between the towers (#398)
The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function
y=0.000112x2 + 220
where x is the horizontal distance from the middle of the bridge and y is the vertical distance from the water level.
The cables are connected to the towers at points that are 5000 feet above the road, and the road is about 220 feet above the mean water ...
- The vertex of this parabola (#1441)
The vertex of this parabola is at (3, 5). When the y-value is 6, the x-value is -1...
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