Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
Answer:
2 sin x + √3 = 0
2sinx=-√3
sinx=-√3/2
x=sin-¹(-√3/2)(sin-¹ means inverse of sin)
x=-60
Answer:
312
Step-by-step explanation:
Volume of the parallalelepiped:
base x width x height
V = 5 x 4 x 12 = 240
for triangular prism:
base = 8-5 = 3
base area = (base x height)/2 = (3x4)/2 = 6
V = base area x 12
V = 6 x 12 = 72
Total volume = 240 + 72 = 312
Answer:
Smallest divisible number = 660
Step-by-step explanation:
Given:
Numbers
10, 11, 12
Find:
Smallest divisible number
Computation:
Factor
10 = 2×5
11 = 11×1
12 = 2×2×3
Smallest divisible number = 2×2×3×5×11
Smallest divisible number = 660
multiply 3 by 5 then multiply 15 u got from multiplying 3 by 5 by 2
