Origins of mathematics

2 answers:

7 0

The evolution of mathematics might be seen as an ever-increasing series of abstractions, or alternatively an expansion of subject matter. The first abstraction, which is shared by many animals, was probably that of numbers: the realization that a collection of two apples and a collection of two oranges (for example) have something in common, namely quantity of their members.
In addition to recognizing how to count physical objects, prehistoric peoples also recognized how to count abstract quantities, like time - days, seasons, years.Elementary arithmetic (addition, subtraction, multiplication and division) naturally followed.

nlexa [21]3 years ago

6 0

The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into themathematical methods and notation of the past. ... Chinese mathematicsmade early contributions, including a place value system.

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Let a be the vector of length 125 that when drawn in standard position makes a 144° angle with the positive x-axis. Let b be the

umka2103 [35]

Answer:

The length is 90.033 and the angle that v makes with the positive x-axis is 153.339°

Step-by-step explanation:

Firstly we will have to convert our given vectors to their rectangular Cartesian vector form as follow,

$a=125(icos(144)+jsin(144))=-101.127i+73.473j\\b=39(icos(302)+jsin(302))=20.667i-33.074j$

Now that we have these, we can add them to obtain v as follows,

$v=a+b\\v=-80.46i+40.399j$

Now that we have the Cartesian vector form we can calculate its length and its direction with respect to the positive x-axis as follows(In fact we usually refer the angles from the positive x-axis),

$|v|=\sqrt{80.46^{2}+40.399^{2}}=90.033\\ angle(v)=tan^{-1}(40.399/(-80.46))=153.339$