Please answer the ixl math problem for 15 points and please fill in the blanks with the correct answer please i beg will mark br
ainliest
1 answer:
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3.25 can be re-written as;
=3+0.25
Converting the decimal to a fraction gives;
3+
=Simplify the fraction;
3+
The final answer is;
3
=3+0.25
Converting the decimal to a fraction gives;
3+
=Simplify the fraction;
3+
The final answer is;
3
9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D