Step-by-step explanation:
4(a-3b) - 2(a-2b)
4a - 12b - 2a - 4b
2a - 16b
Answer:
ratios are not all equal, the total number of coupons given away is not proportional to the number of hours worked on Sunday.
Step-by-step explanation:
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
First convert the complex number to polar form
|5 - 5sqrt3i| = 25sqrt10
argument = arctan - sqrt3 = -pi/3
so 5 - 5sqrt3i = 25sqrt10(cos(-pi/3) + i sin(-pi/3))
the angle is in the 4th quadrant so we could write it as 2pi-pi/3 = 5p/3
= 25sqrt10(cos 5pi/3 + i sin 5pi/3)
Now if r(cosx + isin x) is a 5th root of 5-5sqrt3i then
r^5(cos x + i sinx)^5 = 25sqrt10(cos 5pi/3 + i sin 5pi/3)
r^5 = 25sqrt10 and cos5x + i sin 5x = cos 5pi/3 + i sin 5pi/3
i have to go urgently so i have to leave it to you to finish this
