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Find the nearest distance between two tunnels using cosine rule.
In a mine, two tunnels are dug starting at the same point. One tunnel is 237 M long and the other tunnel is 387 M long. Find the distance between the ends of the tunnels, to the nearest M, if the angle contained between them is 1130.
A trough is 2 meters long, 2 meters wide, and 1 meters deep. the vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle with height 1 meters
Suppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails.
A house sits on a rectangular piece of land. Two of the sides measure 104 ft each. If all four sides measure 576 ft, how long is each of the other two sides?
find the sum of the perimeters and the sum of the areas of all the squares, including the initial one.
Find the maximum rate of change of the function f(x,y,z) = (x^2 + y^2 + z^2)^0.5 at the point P(1,2,-2) and the direction in which it occurs.
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $400,000.
Show that == (where == is the equivalence relation defined below) is an equivalence on A, and find a (well-defined) bijection %: A== -> B, where
the volume of a rectangular prism is 208 cm2. if the area of one end is 16cm2, what is the length of the prism.
Suppose that 45 workers in a textile mill are selected at randome in a study of accident rate. the number of accidents per worker is assumed to be Poisson distributed with mean u . The average number of accidents per worker is 1.7.
The altitude of an equilateral triangle is 9.2 centimeters in length. Find the perimeter of the triangle.
If the sun is above the horizon, find the length of the shadow cast by a building tall. Round your answer to the nearest hundredth.
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