he is using math by calculating the average speed ,acceleration,and finding out the area or circumference of planets, and use of calculus: by having enough info you can calculate the way back from moon to earth ,it's hard but still! if you are not good at math you might not get the job as astronomer .
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we use discrete mathematics in industry and business
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.
In a mathematics exam.
Not all... some don't need mathamatics..
All of them use it now.