Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Answer:
Step-by-step explanation: do you have any choices
Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is 
.
Two angles are complements of one another if their sum is 
.
Let 
be the measure of the angle in question.
The supplement of this angle would be 
.
The complement of this angle would be 
.
According to the question:
.
Solve this equation for 
:
.
Thus, this angle would measure should .
The supplement of this angle would measure 
. The complement of this angle would measure 
.
Three times the complement of this angle would be 
, which is indeed 
greater than the supplement of this angle.
P=12/3
Explanation: P is the variable and to find how many we can buy with 12 dollars we divide 12 by 3 which is the price.
