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1. A boat race runs along a triangular course marked by buoysA,B, andC. The race starts with the boats headed west for3900meters. The other two sides of the course lie to the north of the first side, and their lengths are1600meters and2800meters. Draw a figure that gives a visual representation of the situation, and find the bearings for the last two legs of the race. (Round your answer to one decimal place.)
2. A plane flies 810 miles from Franklin to Centerville with a bearing of 75°. Then it flies 647 miles from Centerville to Rosemount with a bearing of 32°. Draw a figure that visually represents the situation, and find the straight-line distance and bearing from Franklin to Rosemount. (Round your answers to one decimal place.)
3. Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 12 miles per hour, and the other travels at a bearing of S 67° W at 19 miles per hour. Approximate how far apart they are at noon that day. (Round your answer to one decimal place.)
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
Two specific mathematical examples of concepts that could be taught using Venn diagrams. For each concept explain what the mathematical concept is, how the Venn diagram is used in that concept and how the Venn diagram might be helpful for stude..
The cost in dollars y of producing x beds
Linear Programming Case Study, It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won't have alte..
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.
Determine the amount of two-ounce portions of each sea ration product in the mix. Minimize the total cost of the sea rations.
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 ponds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pound..
Calculate the percent markdown after rebate for the product found in part 1. List three pros and three cons to the practice of markdowns/markups. Debate these points.
Draw the t distribution, place the hypothesized value of the mean appropriately, place the sample value correctly, and shade the p value area correctly.
What is the net present value of the more attractive alternative?
How many of each type of vessel should be used in order to keep the operating costs to a minimum?
Calculate the second derivative of f find where f is concave up concave down and has inflection points. Find any horizontal and vertical asymptotes of f.
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