Answer:
By cos Rule: c² = a² + b² -2abcosФ
c = 7.7
Step-by-step explanation:
∵ AC = 10 , BC = 16 , m∠C = 22°
∴ We can use the cos Rule:
∵ c² = a² + b² -2abcos(C)
∴ c² = (10)² + (16)² - 2 × 10 × 16 cos(22)
∴ c² = 100 + 256 - 320cos(22) = 59.301167
∴ c = 7.7
Marcus mowed 5 lawns
Explanation: 75 divided by 15 = 5
1. It will take 8,953.5 seconds the reach the bottom
2. There is 3600 seconds in an hour
(7t-2) - (-3t+1) = -3*(1-3t)
First distribute:
7t-2+3t-1 = -3+9t
Now get all the terms with 't' on the same side by subtracting/adding:
7t+3t-9t = -3+2+1
Combine the terms:
1t=0
t=0
Check:
Plug in 0 for t and see if both sides of the equation come out the same:
Does (7(0)-2) - (-3(0)+1) = -3(1-3(0)) ?
(-2) - (1) = -3(1) ?
-3 = -3 ?
Yes! It works, so t=0!