I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
We are given with the length of the kite string of 80 meters and an angle of 75 degrees of the string with the ground. In this situation, the kite string is the hypotheneuse of the triangle and 75 degrees is the angle of elevation. The height of the kite from the ground is 80 sin 75 or 77.27 meters.
Answer:
You should pick the $300 weekly with 15% commision offer.
Step-by-step explanation:
I think that mathematically speaking, you have a chance of making more money by choosing this option based on your sales from last year.
Good Luck! :)
15% of 420
That is 0.15 of 420
that is 0.15 * 420
that is 63
Hope this helps :)