Answer:
755,160 ways
Explanation:
We're told that 31 cars are in a race.
Considering the order in which the cars can finish in the top 4 positions, any of the 31 cars can finish in the first position, any of the remaining 30 cars can finish in the second position, any of the remaining 29 cars can finish in the third position and any of the remaining 28 cars can finish in the fourth position, so the different numbers of ways can be determined as seen below;
Let c and d be the number of cds and dvds respectively.
c+d=12
c=12-d
The we are told that:
2c+3d=31, using c found above in this equation gives you:
2(12-d)+3d=31
24-2d+3d=31
24+d=31
d=7
So Phillip bought 7 dvds.
check...
3*7+2(12-7)=31
21+2(5)=31
21+10=31
31=31
Answer:
(c)
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° = 
= 
Multiply both sides by 12
12 × cos42° = x, hence
x ≈ 8.9 → (c)
Answer:
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 
.
In any triangle, the Law of Sines is given by 
.
Therefore, we have:
