A city park designer is designing a new park. The park will be shaped like a right triangle and there will be two pathways for pedestrians, shown by VT and VW in the diagram. The park planner only wrote two lengths on his sketch as shown. Based on the diagram, what will be the lengths of the two pathways? The length of pathway VW is _ yards.

The length of pathway VT is _ yards.

The decibel level of sound is 50 db greater on a busy street than in a quiet room where the intensity of sound is watt/m2. the level of sound in the quiet room is db, and the intensity of sound in the busy street is watt/m2. use the formula , where is the sound level in decibels, i is the intensity of sound, and is the smallest sound intensity that can be heard by the human ear (roughly equal to watts/m2).

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.