PLS SOLVE ASAP!!!

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

180 + 30x = 60 + 50x
⇒ 20x = 120
⇒ x = 6 minutes

<span>it will take 6 minutes for Millie to catch up with Ben</span>

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Work Shown:

$c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\$