A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 180 feet and a maximum height of h = 45 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center. Find the height of the arch at a distance of 10 feet from the center. feet (Round to two decimal places as needed.) Find the height of the arch at a distance of 30 feet from the center. feet (Round to two decimal places as needed.) Find the height of the arch at a distance of 50 feet from the center. feet (Round to two decimal places as needed.)

Q: A ship, Albatross, leaves a port on a bearing of N520E traveling at a speed of 42 km/h.  A second…

A:

Q: A crate that weighs 160 lbs is suspended from the ceiling of a warehouse by two cables. One of the…

A: In this question, we use the concept of sine rule of triangle law.

Q: Construct an obtuse angle to duplicate. Describe the steps that it took to complete the duplication.

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Q: Two cars leave the same town at the same time. One heads east at 30mi/h, and the other car in a…

A: We use cosine law to find out distance between both cars after 1 hour

Q: In AVWX, v = 9.5 inches, w = 1.4 inches and ZX=94°. Find the area of AVWX, to the nearest 10th of a…

A:

Q: A ferris wheel has a radius of 22 feet and completes 7 revolutions in 2 minutes. Find the linear…

A: Given,r=22 feet and w(angular velocity) =72 revolution/min                            = 72*0.10472…

Q: Name a point, and identify its coordinates, that is between 20 and 30 units away from point K…

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Q: The coordinates coordinates of two points A and B are (3, 4) and (5, -2), respectively. Find the of…

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Q: A man starts at a point Q.He walks 5km northwards then 8km westwards.Find his distance from Q in the…

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Q: Convert coordinate (5,4) to palar coor dinates, o<o<2r and cdo Raund the Cartesian to 3. decim…

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Q: A drone operator has his drone take off and then start flying due north. The drone flies 45.3 meters…

A: Step 1: Step 2: Step 3: Step 4:

Q: A plane is flying with an airspeed of 160 mph and heading of 150º. The wind currents are running at…

A: Given Information -  Airspeed of the plane = 160 mph Heading of the plane = 150º Speed of wind = 35…

Q: Evaluate the line integral F dr where the vector field and the curve are defined as follows: F(x, y,…

A: Given problem:-

Q: Caitlyn skis along a circular ski trail with a radius 1.4 km long. Caitlyn starts at the 3-o'clock…

A: we have  d=1.4θ implies, θ=d1.4

Q: 2. A young boy tries to balance two pencils against each other on his desk. The pencil on his left…

A:

Q: . Two radar stations detect a pirate ship. Radar station B is due North of station A, and 12km away.…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.