Answer: 40.9
Step-by-step explanation:
Given
angle given is
Using trigonometry
Using cosine formula
Answer:
Option D. Strong positive correlation
Step-by-step explanation:
Like the r-value of 0.987 is positive (0.987>0) and close to 1, the correlation of the graph is a strong positive correlation
ANSWER
12 inches
EXPLANATION
Let the length of the rectangular painting be inches, then the width will be inches.
Since the diagonal is the hypotenuse, we can apply the Pythagoras Theorem to find the length.
We expand to obtain;
We simplify to obtain a quadratic equation in .
We divide through by 2 to obtain.
We factor to obtain
Since we are dealing with length we discard the negative value.
Hence the length is 12 inches
Slope equals change in y divided by change in x.
m=(y2-y1)/(x2-x1)
m=(1-1)/(5--3)
m=0/8
m=0
The slope is zero.
So this is a horizontal line of the form y=1