3 years ago

What is the perimeter of this red

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

96

multiply the side length by the number of sides

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Suppose we want to build a rectangular storage container with open top whose volume is $$12 cubic meters. Assume that the cost o

Snezhnost [94]

Answer:265.25

Step-by-step explanation:

Given

Volume of box $=12 m^3$

height is 3 times the width

let height, length and breadth be H, L & B

$H=3\times B$

$V=12=L\times B\times H$

4=B^2\times L[/tex]

$L=\frac{4}{B^2}$

Cost of side walls $ $8/m^2$

Cost of base $ $12/m^2$

Cost of side walls $=(2LH+2BH)\cdot 8$

Cost of base $=12LB$

Total cost $C=16LH+16BH+12LB$

$C=48LB+48B^2+12LB$

$C=\frac{192}{B}+48B^2+\frac{48}{B}$

differentiate C w.r.t B to get minimum cost

$\frac{\mathrm{d} C}{\mathrm{d} B}=-\frac{192}{B^2}+2\times 48 B-\frac{48}{B^2}$

$B^3=\frac{240}{2\times 48}$

$B=1.35 m$

$H=3\times 1.35=4.07 m$

L=2.19 m

C=$ 265.25

3 0

3 years ago

24 is what percent of 96?

Andrei [34K]

Answer: 25%

Step-by-step explanation:

make it into a fraction

24/96 then simplify

decimal answer is .25

move the decimal to the right 2 times

7 0

3 years ago

7 divided by somethings equal 7.35

Dmitriy789 [7]

Let's translate it into an equation and then solve...

7/x = 7.35
x * 7/x = 7.35 * x
7 = 7.35x
7/7.35 = x
.9524 = x

So 7 divided by .9524 (rounded to the nearest ten thousandth) equals 7.35

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3 years ago

H(a) given in functions

Dmitrij [34]

Step-by-step explanation:

it's like the y in an equation

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3 years ago

Write an algebraic expression for “5 times the sum of a number and 3”

Firdavs [7]

Answer:

5(x+3)

Step-by-step explanation:

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3 years ago