Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45
sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)
C = 42.8639459...
C ≈ 43°
3, 15, 75, 375, and here's why:
Basically, it's asking you to take 3, and multiply it by five each time to get a pattern.
1: 3
2: 3*5 = 15
3: 15*5 = 75
4: 75*5 = 375
Add these together:
3 + 15 + 75 + 375 = 468
Your answer is "A)", 468.
Fraction leftover = 1/2
George gave (1/2) of the leftover to Olivia:
= 1/2 * 1/2
= 1/4
Fraction George gave to Olivia = 1/4