Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i
Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer: $2421.95
Step-by-step explanation:
A = p(1 + r/n) ^nt
A= 2000(1+0.024/4)^4x8
A= 2421.95
Sin∠R = ST/RS ⇒ ST = RS * sin40° = 9 * 0.6428 ≈ 5.8
