When you compare two functions f(x) and g(x), you're looking for a special input 
such that
Since you have the table with some possible candidates for , you simply have to choose the row that gives values for f(x) and g(x) that are as close as possible (the exact solution would give the same value for f(x) and g(x), so the approximate solution will give values for f(x) and g(x) that are close to each other).
In your table, the values for f(x) and g(x) are closer when x=-0.75
Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.
Then the height of the building is the 2nd shortest side.
The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft
so h = building height = (80 ft)(2.75) = 219.8 ft
(yX3)+1 because product means multipy
Answer:
Answer as a fraction: 4/15
Answer as a decimal: 0.267
The decimal version is approximate rounded to three decimal places.
Step-by-step explanation:
6 apples, 4 peaches
6+4 = 10 pieces of fruit total
The probability of picking an apple is 6/10 = 3/5
After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.
Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15
Using a calculator, 4/15 = 0.267 approximately.
