Arectangle is inscribed with its base on the x -axis and its upper corners on the parabola
y=2-x^2
what are the dimensions of such a rectangle with the greatest possible area?
width=
height=

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).

In triangle abc, the length of side ab is 12 cm, the length of side bc is 5 cm, and the length of side ca is 9 cm. find the measure of angle a using the law of cosines.

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?