Answer:
12
Step-by-step explanation: Ryan played 12 songs because 9+3=12
1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >, yes.
132min=2h 12min
15:35 + 2h 12min=17:47
Remember for any two polygons
Area of polygons is directly proportional to square of sides
So
- BC²/XY²=135/15
- 15²/XY²=9
- (15/3)²=XY²
- XY=5in
#35
- HJ²/XY²=168/378
- 8²/XY²=0.44
- XY²=64/0.44
- XY²=145.45
- XY\approx 12+
The correct answer is 525seats in the civic theatre.
