Acontainer of oil has spilled on a concrete floor. the oil flow can be expressed with the function n(t) = 8t, where t represents time in minutes and n represents how far the oil is spreading. the flowing oil is creating a circular pattern on the concrete. the area of the pattern can be expressed as a(n) = πn2. part a: find the area of the circle of spilled oil as a function of time, or a[n(t)]. show your work. (6 points) part b: how large is the area of spilled oil after 5 minutes? you may use 3.14 to approximate π in this problem. (4 points)

Turner's mom measured his room to see how long the wallpaper border needed to be. if two walls are 15 feet long and two walls are 12 feet long, how long should the strip of border be cut?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Factor this polynomial completely. 12x^2+ x-6