Please help ASAP! A model of carry-on luggage has a length that is 5 inches greater than its depth. Airline regulations require that the sum of the length, width, and depth cannot
exceed 57 inches. These conditions, with the assumption that this sum is 57 inches, can be modeled by the function V(x) that gives the luggage's volume, in cubic
inches, in terms of its depth, x, in inches. If its volume is 1500 cubic inches, determine two possibilities for its depth.
Volume = depth length width: 57 - (depth + length)
V(x) = x . (x+5) (57 - (x +x+5))
V(x) = x(x + 5)(52 - 2x)

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?

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions