Applied Optimization

1 answer:

3 0

Minimum weight => minimum area

Area = area of the base + area of the four sides

Length of the side of the square base: x

area of the base = x^2

area of the other four sides = 4 * x * height

Now you have to put height in therms of x using the volume formula:

Volume = area of the base * height => height = Volume / area of the base

height = 6912 / x^2 => area of the four sides = 4*x*6912 / x^2 = 27648 /x

Total area = x^2 + 27648/x

That is the function that you have to optimize (find the derivative and equal it to zero).

I think this is enough information to you develop the proble,

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Please help.....fast

BaLLatris [955]

Answer:

Scalene triangle as there are no sides given.

or,

Measure it using a ruler and classify it based on the result.

Step-by-step explanation:

Scalene triangle = No sides are equal.

Isosceles triangle = 2 sides equal.

Equilateral triangle = All sides equal.

Right angled triangle = One angle is 90.

Since, the picture hasn't given any sides, i am gonna say it's a scalene triangle.

If, the triangle is for measure, measure it using a ruler and classify it based on the result.

6 0

3 years ago

In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. triangle DEF is similar to triangle ABC, where vertices

kkurt [141]

<span>The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12.
12² + 16² = 20²

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6

So the answer is 0.6.</span>

6 0

4 years ago

A student is asked to calculate the value of 212 − 132 using the identity x2 − y2 = (x − y)(x + y). The student's steps are show

vesna_86 [32]

(c)*(d)=8*30+8*4=8*34,=>
c=8
d=34
a+b>a-b, =>a+b=d, a-b=c; =>
{a+b=34
{a-b=8, =>a=b+8 ;
(b+8)+b=34
2b=34-8
b=13
a=13+8=21

Answer: a=21; b=13; c=8; d=34.

7 0

3 years ago

The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

V125BC [204]

X>Y
X=7Y
3X=7+4Y
X=?
Y=?
----------------------------
3*7=7+4Y
21Y=7+4Y
21Y-4Y=7
17Y=7
Y=7/17
----------------------
X=7*7/17
X=49/17

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7Dw%20%5Cleqslant%2024" id="TexFormula1" title=" \frac{3}{4}w \leqslant

Ghella [55]

$\dfrac{3}{4} w \leqslant 24 \\ \\ w \leqslant 24 \times \frac{4}{3} \\ \\ w \leqslant 32$

Hence , w can be any value from -∞ to 32 ,

Hope helps !

5 0

3 years ago