Answer:
n=10
Step-by-step explanation:
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.
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Answer:
can u cmt the question
Step-by-step explanation:
because i cant see the picture
If the question is referring to the least common multiple it is 24
Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 13
With m∠65° as the reference angle,
y represents the adjacent side of the right angle triangle.
x represents the opposite side of the right angle triangle.
To determine the value of x, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 65 = x/13
x = 13Sin65 = 13 × 0.906
x = 11.8 to the nearest tenth
