Answer:Commutative property
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ok, well the first thing you need to do is make -4/13 have the same numerator as 9/26. Thankfully, 26 is a multiple of 13, so that step is easy:
-4/13 -> -8/26
Then you can add them together with ease.
9/26 + -8/26 = 1/26
Adding a negative number to anything is the same thing as subtracting.
<u><em>Explanation</em></u>
5 students got 6 mark each, 4 students got 7 marks each, 7 students got 8 marks each, 10 students got 9 marks each and 4 students got 10 marks each.
(a) <u>Range is the difference of highest mark and lowest mark.</u> Here, the highest mark is 10 and lowest mark is 6.
So, the range of mark
(b) Total number of students in the group
(c) Mean is the <u>simple average.</u> So, for finding the Mean, we will divide the total marks obtained by all students by the total number of students.
Total marks obtained by all students
So, the Mean mark of the group
Answer:
Solution : 6 + 6i
Step-by-step explanation:
This is the expression we have to solve for. Now normally we could directly apply trivial identities and convert this into standard complex form, but as the expression is too large, it would be easier to convert into trigonometric form first ----- ( 1 )
( Multiply both expressions )
( Simplify for both and )
=
( Substitute )
Now that we have this in trigonometric form, let's convert into standard form by applying the following identities ----- ( 2 )
sin(π / 4) = √2 / 2 = cos(π / 4)
( Substitute )
= =
= =
= - Therefore our solution is option a.