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3 years ago

A board measures 4 yards, 2 feet, and 6 inches. What is its length in feet?

Mathematics

2 answers:

never [62]3 years ago

7 0

Well think about it .... 1 yard = 3 ft so you'd do 3 times 4 1 foot = 12 inches so it'd be half of a foot

Alexxandr [17]3 years ago

4 0

It would be 12 inches in a half of foot

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Find the slope of the line that passes through the points 2,4,6 and 12

kolezko [41]

Answer:

The slope is 2.

Step-by-step explanation:

If you use the formula that is shown in the picture, you can calculate that 12-4/6-2 is the slope. If you simplify, you'll get that 8/4 is the slope which simplifies to 2.

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3 years ago

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lukranit [14]

Answer:

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Step-by-step explanation:

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3 years ago

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X + y ≥ 3 <br> 5x + 2y < 10

Zolol [24]

Answer:

3+1 >= 3

(5+1) + (2+1) < 10

3 0

3 years ago

-2b+2(b+3)=-3(-b+2)-b<br><br>Solve for b

maks197457 [2]

I believe that “b” would equal 6

4 0

3 years ago

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