The portion of the Arkansas state flag that is not red is a rhombus. On one flag, the diagonals of the rhombus measure 24 inches and 36 inches. Find the area of the rhombus.

Justify your reasoning.

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827

2. using calculations based on a perpetual inventory system, determine the inventory balance altira would report in its august 31, 2021, balance sheet and the cost of goods sold it would report in its august 2021 income statement using the average cost method. (round "average cost per unit" to 2 decimal places.)