Answer:
Step-by-step explanation:
sin^2x=1/2
so sinx=1/V2=V2/2
x=pi/4
Step-by-step explanation:
Let the total amount of salary be X, then
3/10X + 2/3X + amount left= his salary(X)
(9X + 20X)/ 30 + 2100 = X
29X/30 - X = -2100
(29X - 30X)/30 = -2100
by cross multiplying
-X = -2100×39
-X = -81900
divide both side by -1
X = 81900.
therefore his salary = 81900
Answer:
14x+20
Step-by-step explanation:
9x + 5(x + 4)
Apply the Distributive Property:


Combine Like Terms:
The like terms are 9x and 5x.


The simplified equation is: 
<h3>
Answer: 4/13</h3>
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Explanation:
There are A = 13 hearts and B = 4 copies of "7"
The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16
There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13