Mia and samara live on the same street as the new cafe. The below shows the locations of their homes relative to the cafe, in kilometers. How far will mia have to ride her bike is she picks up lunch at the cafe and brings it to samara house?

Efficient homemakers ltd. makes canvas wallets and leather wallets as part of a money-making project. for the canvas wallets, they need two yards of canvas and two yards of leather. for the leather wallets, they need four yards of leather and three yards of canvas. their production unit has purchased 44 yards of leather and 40 yards of canvas. let x be the number of leather wallets and y be the number of canvas wallets. draw the graph showing the feasible region to represent the number of the leather and canvas wallets that can be produced.

Factor the following polynomial completely 514 + 2013 - 1052 oa. 5121 + 3)( - ) ob. 51%(1 - 3)(1 + 7) oc. 5198 - 3)(x + 7) od 51%(+ 3)(x - 7)

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.