Contractor needs to pour a concrete floor in the shape of a rectangle. The figure shows the design for the concrete floor. 40 ft
30 ft
30 ft
40 ft
The contractor uses the converse of the Pythagorean theorem to prove that the floor is rectangular. How can he do this?
А
He can show that 30 + 40 equals the square of the length of each diagonal.
B
He can show that 40 - 30 equals the square of the length of each diagonal.
С
He can show that 302 + 402 equals the square of the length of each diagonal
D
He can show that 402-302 equals the square of the length of each diagonal

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f( = x2+ vx+ x + y

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?