Emma is 1/4 as old as her father. In 20 years, Emma will be half as old as

her father. The equation 1/4x+20=1/2 (x+20) represents this situation, where x is

Emma’s father’s age now. How old is

Emma’s father now? How old is Emma now?

Find cot x if sin x cot x csc x = √2

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), 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) = 3.14(p)^2 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 8 minutes? you may use 3.14 to approximate pi in this problem.

Mr. t has been dating his girlfriend for one year nine months and six days how many hours has mr. t been in a relationship