Answer:
x = 58
Step-by-step explanation:
This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.
62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.
Using the EAP, we can conclude the following:
(x + 2) + (x) = 118
2x + 2 = 118
2x = 116
x = 58
Hope this helps
Answer:
-145.44
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
= 1 - 1
= 0
