A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
15 is the answer because 8-5 is 3 and 3 and 4 is 12 so 12 plus 3 is 15
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
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
Your answer is c. 0.5454545... because an irrational number is one that repeats itself.