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Vinvika [58]
3 years ago
5

you want to create a box that can hold at the very longest a 4in object. find the dimensions of a box that will work

Mathematics
2 answers:
ser-zykov [4K]3 years ago
5 0

If you were working with a flat rectangle and you were given the diagonal,
you'd want to use the Pythagorean theorem to choose two sides whose
squares would add up to the square of the diagonal.

It works exactly the same with a 3-D box.  We need three dimensions for
the box, whose squares add up to the square of the diagonal between
opposite corners.  That's (4)² = 16.

So (L)² + (W²) + (H²) = 16 . From there, you're completely free to pick any
numbers you want, just as long as their squares add up to 16.  There are
an infinite number of possibilities.  Here are a few:

1 x 1 x √14

1 x 2 x √11

2 x 2 x √8

2 x 3 x √3

1 x 3 x √6


Veronika [31]3 years ago
4 0
4×4×4 hope i help have a great day
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What are a domain and range?
Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

5 0
2 years ago
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be  

\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0
3 years ago
Write in simplest form.
Jobisdone [24]
The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%200.4%20%2B%201.5%283.1%29" id="TexFormula1" title=" - 0.4 + 1.5(3.1)" alt=" - 0.4 + 1.5(
ANTONII [103]
Hi,

- 0.4  + 1.5(3.1) \\  - 0.4 + 1.5 \times 3.1 \\  - 0.4 + 4.65  = 4.25


Hope this helps.
r3t40
8 0
3 years ago
Simplify the Expression<br> - 1/2 (8b+3)+3b=
Anna35 [415]

Answer:

-b -3/2

Step-by-step explanation:

-1/2(8b+3) + 3B (a negative times a positive equals a negative)

1. Mutiply -1/2 by 8b and then by 3

(-1/2 x 8b -1/2 x 3) + 3b

-4b - 3/2 + 3b

2.  Add -4b + 3b = -b

-b - 3/2

5 0
3 years ago
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