Answer:
∠C' = 66°
Step-by-step explanation:
Because triangles ABC and A'B'C' are similar, their angles are still the same; only their side lengths are different, though still proportionate.
Hence, ∠A = ∠A', ∠B = ∠B', and ∠C = ∠C'.
Here, we're given that ∠A = 68, which means ∠A' = 68; we also know that ∠B = 46, so ∠B' = 46.
We want to find C', so remember that all angles in a triangle sum to 180:
∠A' + ∠B' + ∠C' = 180
68 + 46 + ∠C' = 180
114 + ∠C' = 180
∠C' = 66°
Let x be the number of mm of pure alcohol to be added:
I will add the mm to express the volume in mm
100mm.(19%) + (100%).x mL = (100 mL+x mL).(40%).
Now right again without the %
100.(0.19) + x.(1) = (100+x).(0.4)
19 + x = = 40 + 04x
x - 0.4x = 40 - 19
0.6 x = 21
x = 21/0.6 and x = 35 mL. This te quantity of pure alcohol should to be added to get a solution at 40%.
Answer: 3,756.375
<u>Step-by-step explanation:</u>
A =
r²θ
=
(45)²(3.71)
= 3,756.375