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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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Tresset [83]
So it is how many times does 10 go into 40 which is 4 then you do 4 x 3 which is 12 so the answer to the first one is 12/40 and the second one is 42/77. hope this helped
4 0
3 years ago
X2 + 6x - 108<br> How do I factor this
Viefleur [7K]
Add the two with x’s then subtract 108 which equals 100 I’m pretty sure
5 0
3 years ago
Can someone give me the steps to solving this?
DerKrebs [107]

Answer:

\tan \theta  = \dfrac{8}{15}

Step by step explanation:

\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}

\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta  = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}

4 0
2 years ago
Need help with math!!
fiasKO [112]

Answer:

1. Given

2. AAS

3. Reflexive

4. Definition of perpendicular

5. Definition of angle bisector

6. CPCTE



3 0
3 years ago
Simplify 5+6(7-3)45•9
Olin [163]

Answer:

9725

Step-by-step explanation:

5+6(4)*45*9

5+6(4)*405

5+24*405

9725

5 0
3 years ago
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