From his viewpoint, Larry estimates that there is a 25° angle to the top of his house. At the same time, he estimates that there is a 65° angle to the top of a nearby 83-foot tree. What is the height of Larry's house?

Initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 4%. if the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (round your answer to one decimal place.)

For f(x)=2x+1 and g(x)= x^2 -7, find (f•g)(x)

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18