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3 years ago

Average of 2.24 4.63

Mathematics

2 answers:

solong [7]3 years ago

6 0

Answer:

3.45

Step-by-step explanation:

add them together and divide by two

kotykmax [81]3 years ago

6 0

Answer:

3.43500

Step-by-step explanation:

You will add your given decimals

The answer you get out you will divide by 2

This might or might not be the right answer but this is my solution for this question

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MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

Solve and find X. <br> Question says 5-x / 2 = 2x-7

poizon [28]

Answer:

x = 3.8

Step-by-step explanation:

The equation is (5 - x) / 2 = 2x - 7

Multiply both sides by 2:

5 - x = 4x - 14

Add 14 to both sides:

19 - x = 4x

Add x to both sides:

19 = 5x

Divide both sides by 5 to isolate x:

3.8 = x

Therefore, x = 3.8.

7 0

3 years ago

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2 m3 of soil containing 35% sand was mixed into 6 m3 of soil containing 15% sand. what is the sand content of the mixture?

jekas [21]

Answer is: 1.6 m3 of sand

4 0

3 years ago

If the perimeters of each shape are equal, which equation can be used to find the value of x?

Brums [2.3K]

Answer:

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

Step-by-step explanation:

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Sorry If this is confusing I am not very good at explaining things.

4 0

3 years ago

I don't understand this please help

Troyanec [42]

Circle area equation is 3.14 x r squared.
So for question 1,
The radius is 3 cm.
We can square the radius ( 3 squared = 9).
After that, 9 x 3.14 = 28.26.

And after that we match our answers on the right hand column. Since we don't have the answer as given, we try to look for similar numbers. If we look at H, it shows us 0.2826 km squared. When cm is turned into km, the decimal moves two digits to its left. So for question 1, H is correct.

4 0

3 years ago

Read 2 more answers