Answer:
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Step-by-step explanation:
<h3>Given</h3>
- C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time
<h3>Find</h3>
- dr/dt for radius r
- r at t=4 seconds
<h3>Solution</h3>
The circumference and radius of a circle are related by
... C = 2πr
so the radius in terms of circumference is
... r = C/(2π)
... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)
Then dr/dt is
... dr/dt = 0.2/π cm/s
And the radius at t=4 s is
... r(4) = (1/π)(20 + 0.2·4) cm
... r(4) = 20.8/π cm
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation
, since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know
, since we need to find the change for 8 weeks.



The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!
Answer:
Pencil
Step-by-step explanation:
The perimeter is all the sides added up. Therefore, the answer would be the smallest object, being the pencil.