An island is 1.5 mi due north of its closest point on a straight shoreline. a visitor staying at a cabin on the shore that is 5.6 mi from that point. the visitor is planning to go from the cabin to the island. suppose that the visitor runs at a rate of 5 mph and swims at a rate of 1 mph. how far should the visitor run before swimming to minimize the time it takes to reach the island?

Which equation is true? i. 56 ÷ 4·7 = 82 ÷ (11 + 5) ii. (24 ÷ 8 + 2)3 = (42 + 9)2 neither i nor ii ii only i and ii i only

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Point q is equidistant from the sides of ∠tsr. find m∠rst.