Answer:
![\sqrt[5]{b}^{2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bb%7D%5E%7B2%7D)
Step-by-step explanation:
The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³
Surface Area to Volume Ratio = 43/28
<h3>Mensuration of Solids</h3>
Given Data
Rectangular prism A
Length = 2 inches
Width = 7 inches
Height = 8 inches
Surface Area
A=2(wl+hl+hw)
A=2(7*2+8*2+8*7)
A=2(14+16+56)
A= 172 inches²
Volume
Volume = L*W*H
Volume = 2*7*8
Volume = 112 inches³
Surface Area to Volume Ratio
= 172/112
= 43/28
Learn more about Mensuration of Solids here:
brainly.com/textbook-solutions/q-7-composite-figures-use-diagram-backpack-right
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Answer:
-4 / 9
Step-by-step explanation:
n - 2 = 10n + 4/2
n - 10n = 4/2 + 2
-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)
-9n = 8/2
-9n = 4
n = 4 / -9
therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .
Answer:
Step-by-step explanation:
The Universal Set, n(U)=2092
Let the number who take all three subjects, 
Note that in the Venn Diagram, we have subtracted from each of the intersection of two sets.
The next step is to determine the number of students who study only each of the courses.
![n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x](https://tex.z-dn.net/?f=n%28S%5C%3Aonly%29%3D1232-%5B103-x%2Bx%2B23-x%5D%3D1106%2Bx%5C%5Cn%28F%5C%3A%20only%29%3D879-%5B103-x%2Bx%2B14-x%5D%3D762%2Bx%5C%5Cn%28R%5C%3Aonly%29%3D114-%5B23-x%2Bx%2B14-x%5D%3D77%2Bx)
These values are substituted in the second Venn diagram
Adding up all the values
2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]
2092=2085+x
x=2092-2085
x=7
The number of students who have taken courses in all three subjects,
