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pychu [463]
3 years ago
13

Help! Can you answer this question and explain it to me?? It's due TOMORROW!!!!!☹️☹️

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0
Area = 1/2 (Base1 + Base2) x height

Area = 1/2 (25 + 38.25) x 20
         = 632.5 sq mm
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For 5/11 shade in the third bubble (0.45 repeating)

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Tell whether -2 is a solution of the intequality. 8-2x<12
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add 8 to 2 and then multiply the 8 with 12.

Step-by-step explanation:

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Suppose that a defined population is all left-handers, and a survey is being
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2 years ago
An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d
denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is 6\times 3\times 2\ ft

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. w\times 2w\times h=36

h=\frac{18}{w^2}

The equation form when top is open,

f(w)=2w^2+2wh+2(2w)h

Substitute the value of h,

f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})

f(w)=2w^2+\frac{36}{w}+\frac{72}{w}

f(w)=2w^2+\frac{108}{w}

Derivate w.r.t 'w',

f'(w)=4w-\frac{108}{w^2}

For critical point put it to zero,

4w-\frac{108}{w^2}=0

4w=\frac{108}{w^2}

w^3=27

w^3=3^3

w=3

Derivate the function again w.r.t 'w',

f''(w)=4+\frac{216}{w^3}

For w=3, f''(3)=4+\frac{216}{3^3}=12 >0

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = \frac{18}{3^2}=2\ ft

Therefore, the dimensions of the box that minimize the materials used is 6\times 3\times 2\ ft

4 0
3 years ago
What is 12.791 rounded to the nearest hundredth
Viefleur [7K]

To the hundredth is 2 numbers after the decimal so since the third number is a 1 and its less than 5 it does no damage to the 9 therefore you just take away the one and you have your rounded answer, 12.79

8 0
3 years ago
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