The area of a circle:
A = πr²
dA/dr = 2πr
We are given dA/dt, using the chain rule
dr/dt = dA/dt x dr/dA
dr/dt = 1 x 1/2πr
When circumference = 2 cm:
2 = 2πr
r = 1/π; putting this value of r
dr/dt = 1/2π(1/π)
dr/dt = 1/2 cm/s
The radius is increasing at a rate of 1/2 cm/s.
Answer:
Given speed of trolley = 125 meters per minute

Now we know that
Distance= Speed x time
Thus for the first case since the time of travel is less than 450 seconds thus the distance traveled is less than
Distance < 2.083 x 450 =937.5 meters
hence depending on the given information we cannot come to any conclusion weather the distance travelled is less than 800 m or greater than 800 m.
For the second case
since the time of travel is greater than 400 seconds
Thus the distance traveled is

which is greater than 800 meters.
11 hope this helps because if you calculate all it goes to 89 89 +11 = 100 100 = 1.00$
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Statements that best describe the triangle are the following:
1. It is a right triangle, therefore one angle is equivalent to 90°.
2. We can solve for the measurement of the other leg using the Pythagorean theorem c²=a²+b².
3. We can use SOH CAH TOA theorem in solving the other unknowns.
Answer:
Step-by-step explanation: