Answer:
x = 8.3
y = 20.3
Step-by-step explanation:
or 
or 
Answer:
130
Step-by-step explanation:
130 because 130 +15 is equal to 145 and if the angles cross they're the same measure
Answer:
3
Step-by-step explanation:
9y-18=3y
9y-3y=18
6y=18
y=18/6
y=3
The maximum area of the pen is the highest area the pen can have
The maximum area is 16200 square yards
Let the dimension be x and y.
So, the perimeter is given as:

Because it has one additional fence, the perimeter is calculated as:

Make y the subject

The area is calculated as:

Substitute 

Expand

Differentiate

Set to 0

Rewrite as:

Divide both sides by 4

Substitute 90 for x in 


Hence, the maximum area is 16200 square yards
Read more about maximum areas at:
brainly.com/question/11906003
When we draw the terminal side in a Cartesian plane, this side is located at quadrant 1. We have to solve angle theta in order to obtain the trigonometric functions. First, we solve the angle in the triangle formed of the terminal side.
tan alpha = 3/8
alpha = 20.56°
theta = 180° - 20.56° = 159.44°
<span>sin theta =0.35
csc theta =2.85
<span>cot theta = -8/3</span></span>