Given:
The terminal point of 
is (1,0).
To find:
The value of 
.
Solution:
If the terminal point of 
is (x,y), then
It is given that the terminal point of is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
Therefore, the value of 
is 0.
Answer: C)$117.18
$108.50 X 1.08 = $108.50
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
