Answer: ![10\ cm^3](https://tex.z-dn.net/?f=10%5C%20cm%5E3)
Step-by-step explanation:
Given
The surface area of a rectangular prism is ![34\ cm^2](https://tex.z-dn.net/?f=34%5C%20cm%5E2)
Width of prism ![w=1\ cm](https://tex.z-dn.net/?f=w%3D1%5C%20cm)
Length of prism ![l=2\ cm](https://tex.z-dn.net/?f=l%3D2%5C%20cm)
height of prism ![h=x\ cm](https://tex.z-dn.net/?f=h%3Dx%5C%20cm)
Surface area is given by
![S.A.=2[lw+wh+hl]](https://tex.z-dn.net/?f=S.A.%3D2%5Blw%2Bwh%2Bhl%5D)
Put values
![34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm](https://tex.z-dn.net/?f=34%3D2%5B2%5Ctimes%201%2B1%5Ctimes%20x%2B2x%5D%5C%5C17%3D2%2B3x%5C%5C15%3D3x%5C%5Cx%3D5%5C%20cm)
Now, the volume of Prism is given by
![V=l\times w\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20w%5Ctimes%20h)
![\Rightarrow V=2\times1\times 5=10\ cm^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D2%5Ctimes1%5Ctimes%205%3D10%5C%20cm%5E3)
Answer:
A.4
Step-by-step explanation:
Because 4/12 is simplified to 1/3 and 2/4 would be simplified to 1/2. 1/2 > 1/4
24 """"""""""""""""""""""""
Answer:
I Believe the answer is 300
Step-by-step explanation:
75% of 200 is 150 and Nina also read 150 pages. They said Nina only read 50% of her book so that means there's 150 more pages left.
I Hope this helped and i explained it well enough for you to understand
(Correct me if i'm wrong)
Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
<u> 1 0 -4</u>
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:
![x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)](https://tex.z-dn.net/?f=x%5E3-x%5E2-4x%2B4%3D%28x%5E2-4%29%28x-1%29%5C%5C%5C%5Cx%5E3-x%5E2-4x%2B4%3D%28x%2B2%29%28x-2%29%28x-1%29)
PART 4:
![f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B2%29%28x-2%29%28x-1%29%5C%5C%5C%5C%3D%28x%5E2-4%29%28x-1%29%5C%5C%5C%5C%3Dx%5E3-4x-x%5E2%2B4%5C%5C%5C%5C%3Dx%5E3-x%5E2-4x%2B4)