Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos pi/6 t, where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is the depth of each? a.
high tide at 6:00 a. m. and 6:00 p. m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b.
high tide at 6:00 a. m. and 6:00 p. m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c.
high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a. m. and 6:00 p. m., depth 18 ft
d.
high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a. m., depth 5 ft

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?

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

Could somebody me with this radical simplification?