Answer:
Step-by-step explanation:
Hope this helps!
Answer:
Hey there!
Richard has 480 dollars.
Giving 1/4 of the money to his brother would mean giving 120 dollars to his brother.
Richard has 480-120, or 360 dollars left.
Giving 1/3 of the money left would be giving 120 dollars to his sister.
His sister and brother both got 120 dollars from Richard.
Hope this helps, and let me know if you need more help. :)
Answer:
(a) h(t) = 300 - 30t
(b) θ = ((200 - 30t)150)
(c) t =
h = 100m above ground
Step-by-step explanation:
(a)
change of distance of the elevator is governed by equation of speed
speed = distance/time
distance = speed x time
= 30 x t = 30t
since the elevator starts at t = 0 on top of the hotel at 300ft, and the distance between the elevator keep decreasing to the ground, the equation becomes
h(t) = 300 - 30t
(b)
θ = angle between the line of horizon of the observer to the line of sight to elevator
since the observer is 100 feet above the ground, the vertical distance between observer and the top of the hotel is 200ft.
hence, the opposite side of the angle θ is 300 - 30t - 100 = 200 - 30t
therefore, tan θ = (200 - 30t)/150
and θ = ((200 - 30t)150)
Differentiate θ with respect to time, t.
Use chain rule:
let u = (200 - 30t)/150
u' = -1/5
θ = u
θ' =
=
(c)
The elevator will seem to be moving the fastest at θ = 0 since that is the fastest change of θ as the elevator move downward
tan θ = (200 - 30t)/150
tan (0) = 0
(200 - 30t) = 0
200 = 30t
t = 200/30 =
height = 100m above ground
Answer:
33pi
Step-by-step explanation:
11pi/6 is almost 2pi, the entire circle
the entire circle's area = pi(r)^2 = pi(6)^2 = pi(36) = 36pi
But the sector with angle 11pi/6 is 11/12 th's of a circle's area
11/12 x 36pi = 33pi = area of the sector
33pi = 33(3.14159) = 103.67 = Area rounded to 2 decimal places
If you wanted to know the part of the circumference subtended by the angle, the formula is just the angle times the radius or 11pi/6 x 6 = 11pi had it been 12pi/6 or 2pi, the circumference would have been pid or pi times the diameter, 12pi. 11pi is almost all of the circumference.
plz give me brainliest