Percy drew a scale drawing of a hotel. A room in the hotel is 6 inches long in the drawing. The actual room is 24 feet long. What scale did Percy use for the drawing?

1 inch : 4 feet

Step-by-step explanation:

Given: A room in the hotel is 6 inches long in the drawing.

The actual room is 24 feet long.

i.e. 6 inches in the drawing = 24 feet (in actual)

1 inch in drawing = feet

i.e. 1 inch in drawing = 4 feet

The scale of drawing Percy used for the drawing:

1 inch : 4 feet

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°