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1.What is the largest circle that can be inscribed within a polygon with corner coordinates (600,800), (900, 300), (500, 100), and (100, 40)? Find the radius of the largest circle and show how you found it from these coordinates.
2.The number of teleport inquires x in a time sharing system average .2 millisecond and follows a Poisson distribution. Find the probability at least one inquiry is made during the next millisecond.
3.A machine costs $20,000 and has a 5-year useful life. At the end of the 5 years, it can be sold for $4,000. If annual interest is 8%, compounded semiannually, what is the equivalent uniform annual cost of the machine?
If a tank contains 1000 kg of the dilute acid and the concentrated acid is added at a rate of 100 kg/min, how long will it take to bring dilute acid strength to 75 wt% H2PO4? What will be the final chemical composition and weight of the final mixture..
The following costs are associated with three tomato-peeling machines being considered for the use in a canning plant If the canning company uses an interest rate of 12%.
Sandwhich structures are obviously very efficient in bending applications. Would they be equally efficient in tensile or compressive loading? Explain your answer in terms of area available for carrying tensile-compressive loads.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis.
If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles), the longest vehicle delay under FIFO, and the longest vehicle delay unde..
Elongation (in %) of steel plates treated with aluminium are random with probability density function
A circulatr concrete column with a diameter of 8" has spiral reinforcing. Find the capacity of the column with 1% reingforcement. Find the capacity of the column with 8% reinforcement.
A square footing 2 meters by 2 meters is to be constructed 1.22 meters below the ground surface. The groundwater table is located 1.82 meters below the ground surface. The subsoil consists of a uniform, medium dense, cohesionless soil with the follow..
Determine the maximum allowable misclose for this engineering survey using the formula based on the munber of instriunent stations used in the work.
A 60 -m- long steel wire must not strech more than 48mm when the tension in the wire is 6 kn. Knowing that e-200GPa, determine (a)the smallestdiameter which may selected for the wire,(b)the corresponding value of the normal stress.
Twenty years of annual maximum rainfall depths are given below. Determine the rainfall depths to be used for storm structure design for the following annual return periods: 2, 5, 10, 25, 50, & 100 year.
Differntial Leveling between BM's A,B,C,D, and A gives elevation differences (in meters) of -15.632, 32.458, 38.214, and -55.025, and distances in km of 4.0, 6.0, 5.0, and 3.0 respectively.
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