We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

If we consider the position of the person at t = 0, which is:

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

Then, the wheel will repeat its position after t = 60 seconds.
Answer: 60 seconds.
Answer:
Let S be the total surface area. Then
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Discussion:
Let S be the total surface area. Then
S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides
S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Thank you,
MrB
Step-by-step explanation:
Answer:
y =
x - 1
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
y =
x + 6
y = mx + b
4 =
( -2 ) + b
4 = 5 + b
b = -1
y =
x - 1
Answer:
Step-by-step explanation:
Given the dataset 147, 154, 156, 161, 162,
Mean is the sum of the dataset divided by the total number of dataset.
a) Mean = 

b) The formula for calculating the deviation from the mean for each value is expressed as
where;
Xi is value of each item
xbar is the mean = 156
Mean deviation of 147 = 147-156 = -9
Mean deviation of 154 = 154-156 = -2
Mean deviation of 156 = 156-156 = 0
Mean deviation of 161 = 161-156 = 5
Mean deviation of 162 = 162-156 = 6
c) Sum of the deviations
= (-9-2+0+5+6)
= -11+11
= 0
<em>Hence the sum of deviation from the mean is 0</em>
Answer:
StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction
Step-by-step explanation:
It is stated that both triangles satisfy the Side Side Side (SSS) postulate, and the proportions between 2 sides are provided, therefore, the missing proportion is needed to prove that the triangles are similar, that proportion is: BC/YZ = 6/3