Calculate ∬y da where r is the region between the disks x^2+y^2 < =1 & x^2+(y-1)^2 < =1 show all work. (also explain why you split up the regions)

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)

In the given triangle, ∠aed ∼ ∠ abc, ad = 6.9, ae = 7.2, de = 5.2, and bc = 10.2. find the measure of bd and ce. round your answer to the nearest tenth.

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?