Answer:
16
Step-by-step explanation:
Line 1: ◄ + ◄ + ◄ = 30
3◄ = 30
◄ = 10
The triangle equals 10.
Line 2: ◄ + ◘ + ◘ = 18
10 + 2◘ = 18
2◘ = 8
◘ = 4
The square equals 4.
Line 3: ◘ - ○ = 2
4 - ○ = 2
-○ = -2
○ = 2
The circle equals 2.
○ + ◄ + ◘ = 2 + 10 + 4 = 16
Answer: 16
Look at the pictures (examples)
m∠1 = m∠6 → answer: none
m∠2 = m∠3 → answer: none
m∠2 = m∠C → answer: none
A complex number that lies above the real axis and to the left of the imaginary axis
- 3 + 2i
Step-by-step explanation:
S = ∫ 2π y ds
ds = √(1 + (dx/dy)²) dy
ds = √(1 + (8y)²) dy
ds = √(1 + 64y²) dy
S = ∫₁² 2π y √(1 + 64y²) dy
S = π/64 ∫₁² 128y √(1 + 64y²) dy
S = π/64 [⅔ (1 + 64y²)^(³/₂)] |₁²
S = π/96 (1 + 64y²)^(³/₂) |₁²
S = π/96 (1 + 256)^(³/₂) − π/96 (1 + 64)^(³/₂)
S = π/96 (257√257) − π/96 (65√65)
S = π/96 (257√257 − 65√65)