Answer: A
Step-by-step explanation:
Δ = (8i)^2 - 4*(-25) => Δ = -36 +100 => Δ = 64 => x1 =(-8i + 8)/2 => x1 = -4i +4;
x2 = (-8i - 8)/2 => x2 = -4i-4; in this case, your solutions are complex conjugates.
The answer is C, the first number in the equation is going to be multiplied separately by the ones inside the parentheses, which is that number distributing.
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³