Aright circular cylinder has a volume of 500 cu in. if the base has a radius of 4 in., what's the altitude of the cylinder? round your answer to two decimal places. a. 31.25 in. b. 19.79 in. c. 29.84 in. d. 9.95 in. mark for review (will be highlighted on the review page)

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Use circumcenter theorem to solve for the given values

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.