We are tasked with constructing a rectangular box with a volume of 13 cubic feet. The material for the top costs 8 dollars per square foot, the material for the 4 sides costs 7 dollars per square foot, and the material for the bottom costs 10 dollars per square foot. To the nearest cent, what is the minimum cost for such a box? Hint: Draw and label a rectangular box with variables for the 3 dimensions.

a storage shed is to be built in the shape of a box with a square base. it is to have a volume of 810 cubic feet. The concrete for the base costs $2 per square foot, the material for the rood costs $8 per square foor, and the material for the sides costs $4.50 per square foot. find the dimensions of the most economical shed I 立

Module 11, Half-Angle Identities Assignment In this module you have worked with many different trigonometric identities. These identities can be helpful for making precise calculations. For example, you can use identities to find the lengths of the sides of a triangle when the angle measure in standard position is not listed on the unit circle. Most recently you have learned about double-angle and half-angle identities. These are special cases of the sum and difference formulas for sine and cosine. Consider the half-angle identities shown as you work through the scenario below. Sine Half-Angle Identity Cosine Half-Angle Identity 1- cose 1+ cose cos = + sin = + 2 2 Marcus is a craftsman and artist. He uses the knowledge he has gained as an engineering student to create custom pieces. For his current project, he is making a large, intricate, 3-dimensional latticework that will be placed next to the marker which welcomes people to his city. He has the work on the lattice completed. It…