Step-by-step explanation:
Area of a circle is:
A = πr²
Take derivative with respect to time:
dA/dt = 2πr dr/dt
Plug in values and solve:
-5 = 2π (2) dr/dt
dr/dt = -5/(4π)
dr/dt ≈ -0.398
The radius is shrinking at approximately 0.398 in/min.
Answer:
73
Step-by-step explanation:
Do the stuff in parenthesis first then do the stuff out of parenthesis EX:
4 to second power is 16 plus three is 19 plus two is 21 then add three to get 24 and seven to the second power is 49 add that and you get 73
<u>Given</u>:
The radius of the cone is 2 cm.
The height of the cone is 2.25 cm.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
where r is the radius and h is the height of the cone.
Substituting r = 2 and h = 2.25, we get;
Simplifying, we get;
Multiplying, we get;
Dividing, we get;
Thus, the volume of the cone is 9.42 cubic cm.
Hence, Option b is the correct answer.
Step-by-step explanation:
use substitution method so it will now look like
8x + 5(-4x) = 24
8x + (-20x) = 24
-12x = 24 (divide both sides by 12)
-x = 2 (multiply both sides by negative 1)
x = -2
substitute to find y
y= -4(-2)
=8
A 100 pound person would weigh 800 pounds on. Jupiter ,the ratio would be 800:500
