Answer:
because i learned it in class 2 years ago
Step-by-step explanation:
b. Associative Property of Multiplication
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Option D. 17/10 or 1.7 is correct or 1 7/10 is also correct :)
I'm going to need to see the whole problem, not just the generic question
Answer:
6.43, scalene.
Step-by-step explanation:
assuming that those are meant to represent the angles in the triangle,
6x + 30 + 7x + 15 + 8x = 180
21x + 45 = 180
21x = 135
x = 6.43
The triangle is not equalateral because the angles would all be the same, it isn't isosceles since 2 aren't the same, it must be scalene since all 3 angles are different
