Solve the equation tan^2 theta =((v3)/ 6 )sec theta on the
interval 0 less than or equal to theta which less than 2pi.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.