Ki’von has a sink that is shaped like a half-sphere. the sink has a diameter of 20 inches. one day, his sink clogged. he has to use one of two different cups to scoop the water out of the sink. the sink is completely full when ki’von begins scooping. (a) what is the exact volume of the sink? show your work. (b) one conical cup has a diameter of 8 in. and a height of 6 in. how many cups of water must ki’von scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work. (c) one cylindrical cup has a diameter of 4 in. and a height of 6 in. how many cups of water must he scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Solve the equation by completing the square. x^2+2x=17