You have to multiply by the complex conjugate so that you can clear the radical from the denominator.
Once you do the multiplication simplify the radical. There's still a common factor in -54, -18, & 75 so divide all those by 3.
The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8
<h3>Fraction</h3>
let
- Number of marbles in her bag = x
- Number of marbles removed from her bag = 1/2x
Remaining marbles = x - 1/2x
= (2x-x) / 2
= x/2
= 1/2x
Number of marbles given to her friend = 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend
= 1/2x - 1/8x
= (4x-x) / 8
= 3x/8
= 3/8x
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Answer: The function M if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.
M(x)=43x32−7x+C
Step-by-step explanation: not 100 about this but it's what I got
The rules are very simple: an angle is acute if it's less than 90°, whereas it is obtuse if it's more than 90°.
So, for the first task, you just need to compare the given angle with 90°. If the angle is less than 90°, it's acute. Otherwise, it's obtuse.
Moving on, angle B is complement of a angle A if A+B=90. So, for example, the complement of the first angle is 80, because 10+80=90. Note that this implies that obtuse angles don't have a complement.
Finally, angle B is supplement of a angle A if A+B=180. So, for example, the complement of the first angle is 170, because 10+170=180.
