The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
Answer:

Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle,
, where
,
, and
are the three sides of the triangle and
is the angle opposite to
.
Let
be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:

Therefore, the shortest side of this triangle is 3.5.
To visualize better, look at it like this:

First, see if you can simplify 3/2. You can't, so leave it like that.
The rule for exponents is you subtract the exponent from the bottom (r) from the exponent on the top (
)

Put that on the top, and you get

Answer: y=-2x+12
Step by Step explanation:
4x+2y=24
-4x -4x
-------------------
2y=-4x+24
---- ----- -----
2 2 2
y=-2x+12