Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose 
and 
are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give 
and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles
The Rule says
Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.
Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.
Example
in first option we can apply Sine Rule as
Answer: C
Step-by-step explanation:
A= 1/2(a+b)xh
A=1/2(7+10)x5
A=8.5x5
A=42.5
Answer:
5/100 = 0.056 sales tax
$12+$26+$125 = $163 total purchase without tax
163*0.056 = 9.128 tax based on how much she bought
$163 + 9.128 = $172.128 total amount she paid (b)
