30) Let vector u = (a, b) and vector v = (c, d). If the vectors are located as shown in the graph, then
A) ab = -cd
B) ac = -bd
C) a + b = c + d
D) a + d = b + c
31) Find the component of a velocity vector of an airplane that is traveling 150 mph at 45° below horizontal.
A) <106.1°,106.1°>
B) <106.1°,-106.1°>
C) <-106.1°,106.1°>
D) <-106.1°,-106.1°>
32) Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
A) 9
B) 12
C) 15
D) 17
33) Given: ΔABC. If ∠B = 35°, a = 4.5 cm, and b = 6.0 cm, what is the measurement of ∠A to the nearest tenth of a degree?
A) 21.5°
B) 23.2°
C) 25.5°
D) 30.7°
34) A manufacturer plans on building a better mousetrap. There is a 60% chance the mouse trap will produce a profit of $200,000 for the company, a 20% chance of a $100,000 profit, and a 20% chance the company will lose $200,000. Based on this information, should the company build the mousetrap?
A) The expected value is $70,000, so the company should build the mousetrap.
B) The expected value is $85,000, so the company should build the mousetrap.
C)The expected value is $100,000, so the company should build the mousetrap.
D)The expected value is -$70,000, so the company should not build the mousetrap.
35) Find the magnitude of the sum of v and u if v = <-2,4> and u = <-3,-5>. Round to the nearest hundredth of a degree.
A) 2.45
B) 3.74
C) 5.10
D) 10.30
Please help ASAP, thank you in advance
