Constructing a box. from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by cutting out identical squares of area x^2 from each corner and turning up the sides.

(a) show that the volume of the box is given by the function v(x)=x(20-2x)(30-2x).

(b) find all positive values of x such that v(x)> 0.

Kinu wants to buy topsoil for a section of her garden that has the dimensions shown in the figure. each bag covers 2 square yards. how many bags of topsoil should kinu buy? explain how you found the answer.

30 points and i will give brainliest the club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. the decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. use the best measure of center for both data sets to determine whether the club should increase the budget. assume there are four weeks in a month. if you think the data is inconclusive, explain why.

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅? a. sin (α -β) = sin α cos β – cos α sin β b. cos (α -β) = cos α cos β – sin α sin β c. cos (α -β) = cos α cos β + sin α sin β d. sin (α + β) = sin α cos β + cos α sin β