Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

M.xyz =radians. covert this radian measure to its equivalent measure in degrees.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe