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If you mean "Algorithm" an algorithm is simply a set of rules, or steps to complete, which are needed to solve a particular problem. An example would be a recipe in a cookbook. A recipe is an algorithm.
A banana is a non example of rate. They have nothing to do with each other.
Yes. A banana is a non-example of acute. In fact it is also a non-example of an angle!
An intractable problem is one for which there is an algorithm that produces a solution - but the algorithm does not produce results in a reasonable amount of time. Intractable problems have a large time complexity. The Travelling Salesman Problem is an example of an intractable problem.
Yes, you can. Any iterative method/algorithm that is used to solve a continuous mathematics problem can also be called a numerical method/algorithm.