Answer:
37.5 g
Step-by-step explanation:
The final solution will contain 3% × 100 g = 3 g of solute. This amount of solute will be found in w grams of 8% solution, where ...
... 3 = 0.08 × w
... 3/0.08 = w = 37.5 . . . . . grams of 8% solution
Answer:
54°
Step-by-step explanation:
180° - 52° - 30° = 98°
180 - 98° - 28° = 54°
Volume of the first dwarf planet (r₁ = 832 mi):

Volume of the second dwarf planet (r₂ = 829 mi):

So difference between the volumes is:

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):
74.3 is greater than 7.43
Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41