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GarryVolchara [31]
2 years ago
9

How many cubes with side lengths of 1/3 does it take to fill the prism?

Mathematics
1 answer:
Ugo [173]2 years ago
8 0

Answer:

180 cubes

Step-by-step explanation:

little cubes:

v=(\frac{1}{3} )^{3} =\frac{1}{27}

The prism:

v=(\frac{5}{3})(\frac{4}{3}  )(2)=\frac{40}{9} =\frac{20}{3}

the number of cubes that fill the prism:

cubes=\frac{\frac{20}{3} }{\frac{1}{27} } =\frac{(20)(27)}{(3)(1)}= \frac{540}{3} =180

Hope this helps

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Answer:

(a) sin(x) + cos(x)

(b) sin(x) + cos(x)

(c) Both answers are equivalent

Step-by-step explanation:

(a) The given function is:

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According to the quotient rule:

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Applying the quotient rule:

f(x) = \frac{tan(x)-1}{sec(x)}\\f'(x)=\frac{sec^2(x)*sec(x)-(tan(x)-1)*sec(x)tan(x)}{sec(x)^2}\\f'(x)=\frac{sec^3(x)-sec(x)tan^2(x)+sec(x)tan(x)}{sec(x)^2}\\f'(x)=sec(x)+\frac{tan(x)-tan^2(x)}{sec(x)}\\ \frac{tan(x)}{sec(x)}=sin(x) \\f'(x)=sec(x)+sin(x)-sin(x)tan(x)\\

This can be simplified to:

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(b) Simplifying in terms of sin(x) and cos(x):

f(x) = \frac{tan(x)-1}{sec(x)}\\f(x)=\frac{\frac{sin(x)}{cos(x)}-1 }{\frac{1}{cos(x)} } \\f(x)=sin(x)-cos(x)\\f'(x) = cos(x)+sin(x)

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4 0
3 years ago
1st to answer will get Brainliest 
storchak [24]
Find current interest:
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Add new transaction:
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What are rational and irrational numbers ?
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