The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bn%5E5%7D%7Bn-6%7D%20%2A%20%5Cfrac%7Bn%5E2-6%7D%7Bn%5E8%7D" id="TexFormula1" title="\

ddd [48]

Step-by-step explanation:

Dod you mean

$= \frac{ {n}^{5} }{ {n}^{ - 2} } \times \frac{ {n}^{2 - 6} }{ {n}^{8} }$

$= {n}^{5 - ( - 2)} \times {n}^{2 - 6 - 8}$

$= {n}^{7} \times {n}^{ - 12}$

$= {n}^{7 + ( - 12)}$

$= {n}^{ - 5} = \frac{1}{ {n}^{5} }$

5 0

2 years ago

Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou

tatuchka [14]

1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
And you get (1/2)*12 which is 6=x lemons

He needs 6 cups of lemons

5 0

3 years ago