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An army cadet is involved in a compass exercise. He leaves point O and walks 50m due west to point A. He then walks 80m due north to point B and finally 60m on a bearing of 320 deg to point C.
a) Illustrate this information on a sketchb) Calculate the distance and bearing of B from Oc) Calculate the distance and bearing on which he must walk in order to return from C to O
For the following algorithm find the number of times the assignment statement (:=) is executed during the running of the program. Answer the question by giving a formula in terms of n:
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
Solve the given triangle.
A significant amount of improvement took place
Make a venn diagram: 25 students play soccer, 4 boys play soccer and baseball, 3 girls play soccer and baseball, 10 boys play baseball, 4 girls play baseball
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
A computer network consists of six computers. Each computer is directly connected to at least one of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
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