Answer:
He reads faster by 8 pages.
 
        
             
        
        
        
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1 
Find the value of x
In the large right triangle
 ----> by CAH (adjacent side divided by the hypotenuse)
 ----> by CAH (adjacent side divided by the hypotenuse)
Remember that

substitute

solve for x
 ---> improper fraction
 ---> improper fraction
step 2
Find the value of z
In the large right triangle
Applying the Pythagorean Theorem

substitute the value of x

solve for z




simplify

step 3
Find the value of y
In the right triangle of the right
 ---> by SOH (opposite side divided by the hypotenuse)
 ---> by SOH (opposite side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


step 4
Find the value of b
In the right triangle of the right
 ---> by CAH (adjacent side divided by the hypotenuse)
 ---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


 
        
             
        
        
        
Y = (-2x +2)^2 +8
(-2x^2 +4) +8
-2x^2 +12
        
             
        
        
        
Answer: The response variable = Volume 
and explanatory variable(s) in this study are: Height and Diameter.
Step-by-step explanation:
Important definitions:
- The explanatory variable is a type of independent variable manipulated by the experimenter for the ongoing experimental study.
- The response variable is a type of dependent variable which depends on the explanatory values provided by the experimenter.
Given: A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees.
Here, Volume directly depends upon the height and diameter of the tree.
Also, forester ( Experimenter) wants to predict volume by cutting tree that means it is an response variable and it depends on height and diameter , so height and diameter are explanatory variable.
Hence, The response variable = Volume 
and explanatory variable(s) in this study are: Height and Diameter.
 
        
             
        
        
        
Given - 
y > - x + 3
To Find - 
The points which is NOT a solution to the inequality
Step-by-Step Explanation - 
We will put the value of each in inequality and then see if it satisfies the given condition or not.
a. ( -2,6)
So, x = -2 and y = 6 in y > - x + 3
= 6 > - (-2) + 3
= 6 > 5 (Correct Solution)
b. (5,-1)
So, x = 5 and y = -1 in y > - x + 3
= -1 > -5 + 3 
= -1 > -2 (Correct Solution)
c. (2,0)
So, x = 2 and y = 0 in y > - x + 3
= 0 > -2 + 3
= 0 > 1 (Incorrect Solution)
d. (0,3)
So, x = 0 and y = 3 in y > - x + 3
= 3 > -0 + 3
= 3 > 3 (Incorrect Solution)
Final Answer - 
The points which is NOT a solution to the inequality = 
c. (2,0)
d. (0,3)