Carlos is adding insulation to a room he just finished framing in his home. The 12 room is 16 ft. by 12 ft., and the ceilings are 9 ft. tall. There are two windows in the room measuring 5 ft. by 6 ft. each. How many square feet of insulation does Carlos need? A. 708 ft.12 B. 504 ft.12 C.768 ft. 2 D. 444 ft.12 shre zures or 3​

The sum of the product of 4 and x and the product of 7 and y is 61. the sum of the product of 12 and x and the product of 21 and y is 61. what are the values of x and y?

Which of the following represents the factorization of the trinomial below? x^2+7x-30

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 bsuppose 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 cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?