Answer:
.
Step-by-step explanation:
Let x represent side of kennel opposite to house and y represent other sides.
We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.
Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:


Let us solve for x.


The area of the kennel would be product of its sides that is:

Now, we will substitute
in area equation as:


Let us find the derivative as shown below:

Now, we will set derivative equal to 0 and solve for y.




Upon substituting
in area function, we will greatest possible area.





Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.
<span> Diego can swim 3/4 of a mile per hour</span>
Answer:
40
Step-by-step explanation:
Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...
AOB +2ABO = 180° . . . . . sum of angles in the triangle
100° +2ABO = 180° . . . . . . use the given value
50° +ABO = 90° . . . . . . . . divide by 2; next, subtract 50°
∠ABO = 40°