The relationship of arcs is:
S '/ S = ((1/9) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((1/9)) / (2)
S '/ S = 1/18
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
Clearing we have:
A = (A ') / (S' / S)
Substituting:
A = ((1/2) pi) / (1/18)
A = ((18/2) pi)
A = (9pi)
Answer:
The area of the circle is:
A = (9pi)
The equation
P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
1200000 = 1405233 * (0.989)^t
(0.989)^t = 1200000/1405233
t = log(1200000/1405233)/log(0.989)
t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.
Answer:
12/17
Step-by-step explanation:
total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)
11 + 15 - 2 = 24
over the total number of marbles (34)
24/34 simplifies to 12/17
Let x be the distance between the plane and the airport.
We have,
Angle of depression = 22°
Altitude = 1800 m
Sin 22° = Opposite/Hypotenuse
=> Sin 22° = Altitude/x
=> Sin 22° = 1800/x
=> x × Sin 22° = 1800
=> x = 1800/Sin 22°
=> x = 1800/0.3746065934
=> x = 4805.04089 m
