Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
Answer:
C. 8
Step-by-step explanation:
The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (1, 2) and (3, 18), the average rate of change is ...
m = (18 -2)/(3 -1) = 16/2 = 8
The average rate of change between x=1 and x=3 is 8.
Answer:
X intercept is -1
Y intercept is 4
Step-by-step explanation:
The intercepts are when the line goes through the x axis or when
the line goes through the y axis.
Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where 
and 
are 2 legs of the triangle, and 
is the hypotenuse, aka the longest side of any triangle:
We know and and want
Therefore, is approximately 
Answer:
First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:
A = wl = 9 . 12 = 108 (ft²)
We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)
