You cut a piece of paper in half to get 1/4 of the paper. You repeat this four more times.

Mathematics

1 answer:

faust18 [17]3 years ago

3 0

Answer:

The answer is 1/64

Step-by-step explanation:

The answer is 1/64 because if you multiply the denominator of 1/4 by 2 you get 1/8 then if you do it again 3 more times you get 1/16 then 1/32 then 1/64

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√2+1<br> b) Rationalize the denominator:<br> √2+1

Misha Larkins [42]

Answer:

there is not a complete question here ...

$\sqrt{2} +1$ is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by $\frac{\sqrt{2} -1}{\sqrt{2} -1}$ the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

4 0

2 years ago

A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

mojhsa [17]

<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>