Answer:
To find the exact vale of atan(-sqrt(3)) we're going to need the help of a calculator
atan(-sqrt(3)) = -1.04719755 rads.
If you take a look at the important angles, you will notice that the arc is minus 60 degrees which equals -1.04716755 radians.
When trying to solve a system of equations graphically, our focus is on identifying the coordinates of any point through which the graphs go. Look at the above graph: you'll see that the red and the blue graphs intersect at (0,2), and so (0,2) is a "solution" of that system of equations.
Here, we're asked to answer a different kind of question: "Is (2,0) a solution to the given system of equations?" Let's paraphrase that question: "Do both graphs go through (2,0)?" The answer: emphatically not. Neither graph goes through (2,0). Thus, (2,0) is not a solution to this system of equations.
Multiply out the brackets:
4x - 1/4 > 12 - 2x
Add 2x to both sides:
6x - 1/4 > 12
Add 1/4 to both sides:
6x > 12 1/4
Divide both sides by 6:
x > 2.04
Change to a fraction form, therefore the answer is B
Answer:
a
Step-by-step explanation:
since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63
Answer:
x = -9
Step-by-step explanation:
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