1) Dimensiones of the cardboard:
length: 10 inches
width: 8 inches
2) dimensions of the squares cut
length: x
width: x
3) dimensions of the box:
length of the base = 10 - 2x
width of the base = 8 - 2x
height = x
4) Volume of the box
V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =
V = 80x - 36x^2 + 4x^3
5) Maximum volume => derivative of V, V' = 0
V' = 80 - 72x + 12x^2 = 0
6) Solve the equation
Divide by 4 => 3x^2 - 18x + 20 = 0
Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)
So, the answer is the option C. 1.5 inches.
Answer:
1/7 = 0.142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2
Step-by-step explanation:
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Answer:
D
Step-by-step explanation:
Answer: 89
Step-by-step explanation: 4359/51=89
Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
Sum of the squares of the two smaller sides is:
Since 
, therefore the given triangle is not a right angle triangle.
