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3 years ago

PLZ HELP I'M STUCK TY!

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer: A. Just took my best guess

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The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago

If you put $65 into a savings account that earns 4% simple interest, how much interest will you earn at the end of 8 years?

VikaD [51]

Answer:

$20.8

Step-by-step explanation:

I = PRT / 100

I = ?

P = 65

R = 4%

T = 8yrs

I = (65 * 4 * 8) / 100

I = $20.8

8 0

3 years ago

Find the length of segment AB

Umnica [9.8K]

Answer:

Step-by-step explanation:

AB=CB so

3x+8=7x-16

-4x=-24

x=6

then plug that x value into the length which is 3x+8

so 3(6)+8=18+8=26

5 0

3 years ago

Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of

fiasKO [112]

Answer:

-$13.77

Step-by-step explanation:

4 0

3 years ago

Answer pls--<br> ^^<br><br> :D<br> hehe

andrew-mc [135]

Answer:

42.24 in

Step-by-step explanation:

The formula for area is 1/2bh

1/2 x 8.8 x 9.6

use calculator

=42.24

Have a great day!

5 0

3 years ago

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