<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
Step-by-step explanation:
90÷0.018=5000
90÷0.18= 500
90÷1.8 = 50
90÷18 =5
90÷180 =0.5
<h3>Given system :</h3>
<h3>Solution to the system :</h3>
Substitute the given value of y into the equation -3x-2y=-12
Distribute -2 through the parentheses
Collect like terms
Move the constant to the right-hand side and change its sign
Calculate the sum and divide both sides of equation by -13
Now, Substitute the given value of x into y=5x-7
Multiply the numbers
Subtract the numbers
The possible solution of the system is the ordered pair (x,y)
The absolute value of y is z. Shown like this :|| of y is z
$7.64 because 0.68 times 48 is $32.64 and 32.64 - 25.00 is 7.64