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3 years ago

How many 1/3 cm by 1/3 cm by 1/3 cm cubes will fit in a 1 cm by 1 cm by 1 cm box? Explain how you know.

1 answer:

8 0

1/3^3=0.037 recurring. 1^3= 1. 1/0.37=27.027. That rounds to 27 so you can fit 27 cubes into the box.

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miv72 [106K]

Answer: (1a) 250° (1b) 70° (2) see below

<u>Step-by-step explanation:</u>

1a) -110 + 360 (one rotation clockwise) = 250°

1b) 430 - 360 (one rotation counterclockwise) = 70°

2) sec Ф = -8/5 in Quadrant III

Quadrant III identifies that both sin (y) and cos (x) are negative.

sec = r/x --> r = 8, x = -5, and y = -√39

(Use Pythagorean Theorem x² + y² = r² to solve for y)

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$\cos\theta=\dfrac{x}{r}=\dfrac{-5}{8}$ $\sec\theta=\dfrac{r}{x}=\dfrac{-8}{5}$ (GIVEN)

$\tan\theta=\dfrac{y}{x}=\dfrac{\sqrt{39}}{5}$ $\cot\theta=\dfrac{x}{y}=\dfrac{-5}{-\sqrt{39}}$ rationalized = $=\dfrac{5\sqrt{39}}{39}$

NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST. Please repost #3 and #4 as a different question and I will answer them.

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3 years ago