Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 f
1 answer:
You might be interested in
Answer:
0.33
Step-by-step explanation:
Let A denote an event. The odds of the horse finishing second is 33 to 67.
From the information, the total outcomes of event A is:
Hence, there are 100 total outcomes. The probability of the horse finishing second is calculated as:
Hence, the probability of finishing second is 0.33
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