2 to the power of 20/3 to the power of 8. 2^20/3^8 for short.
Answer:
1/9
Step-by-step explanation:
Subtract them
5/9-4/9=1/9 Answer
19.05 if you have to round round to 19
Answer:
9 units²
Step-by-step explanation:
Area of triangle= ½ × base × height
The base here is 3 units and the height is 6 units.
Area of traingle
= ½(3)(6)
= 9 units²
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
imens
ion?</h3>
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
