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Prove that the smallest angle of any triangulation of a convex polygon whose vertices lie on a circle is the same. This implies that any completion of the Delaunay triangulation of a set of points maximizes the minimum angle.
A tray rests on an extendible arm consisting of two steel tubes with two different outer diameters. The downward force at the tray center F0 = 1000 N. Determine the downward deflection of the tray center and the tilt angles of the tray about each ..
Water is flowing at a depth of 10 ft with a velocity of 10 ft/s in a channel of rectangular section. Find the depth and change in water surface elevation caused by a smooth upward step in the channel bottom of 1 ft.
Determine the forces in members DC,CB and BA of the truss. State whether the members are in tension or compression. set P=7 kN. Determine the forces in members DE and EA of the truss.
A piston-cylinder assembly containing 1/4 kg of a gas undergoes a constant pressure process at 5 bar beginning with a specific volume of 20 m^3/kg. for the gas in the system the work is -15 kj. determine the final volume of the gas in m^3
assume you are an observer standing at a point on the track for a period of 30 minutes and are recording the instantaneous speed of each vehicle as it crosses your point. what is the time-mean speed and space-mean speed for these vehicles for this..
A rectangular channel is to carry 200 cfs. The mean velocity must be greater than 2.5 fps. The channel bottom width should be about twice the channel depth. Find the channel cross section and the required channel slope.
the room described in problem 8.1 gas a 1 m wude door with a 1 cm high slit at the floor level. THe oil spill has a rectagular area of sides 0.5 m by 0.5 m. (a) calculate the pressure increase, the air velocity, and the mass flow rate throug the sl..
Assuming a standard driver reaction time of 2.5 seconds, what is the probability that the vehicle pulling out will get in an accident with oncoming traffic?
calculate departures and latitudes, misclosures in departures and latitude, and traverse relative precision. Balance the departures and latitude using the compass rule, and calculate coordinates of points B, C, and D.
what is the uniform deterministic arrival rate if the vehicle queue is cleared in 35 minutes after vehicles begin to arrive (in veh/min.)?
As a project manager on site where work for 3 km long tunnel has been undertaken the site is remote and takes about 2 days to travel to nearest town supervisors technicians and skiled workers in dangerous work.
A large residence consumes 3705 kWh of electrical energy over a billing period. Determine the total charge for the billing period based on the rate schedule provided. The margin of error is $0.5
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