Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading.

the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = πp2.

part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work.

part b: how large is the area of spilled paint after 2 minutes? you may use 3.14 to approximate π in this problem.

Given the paint flow can be expressed with the function as:

where, t represents time in minutes and p represents  how far the paint is spreading.

It is also given that: The flowing paint is creating a circular pattern on the tile

The area of the pattern can be expressed as:

A

To find the area of the circle of spilled paint as a function of time.

⇒

therefore,  the area of the circle of spilled paint as a function of time .         ......[1]

B

To find how large is the area of spilled paint after 2 minutes.

Substitute t = 2 minutes and in [1] we have;

square units.

Therefore, 314 square units large is  the area of spilled paint after 2 minutes.

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.