Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1
-7x+6y-6x is simplified to be -13x+6y.
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
