Answer:
182 inches
Step-by-step explanation:
1 book is 13 inches thick.
So when 14 of those books are stacked together (lets take the book cover has non-existent thickness since the question did not mention),
Height of stack of 14 books = 14 x Thickness of 1 book = 14 x 13inches
= 182 inches
A sphere? You know this isn't really a mathematical question right?
Differentiate with respect to x and y
2x +10 y y' = 0
get y' alone
y' = -2x/(10 y)
reduce
y'=-x/(5y)
continue with quotient rule of differentiation
y'' = ( 5y(-1) - (-x) (5y')) / (5y) squared
y'' = (-5y + 5xy') / (25y squared)
reduce by dividing each term by 5
y" = (-y +xy') / (5y squared) answer
Now if the teacher wants you to continue so no y or y' shows
substitute y' = -x/(5y) and y = square root ((5-x squared) / 5)
and simplify
![Standard\ form:\ Ax+By=C\\\\Slope-intercept\ form:\ y=mx+b\\m-slope,\ b-y-intercept](https://tex.z-dn.net/?f=Standard%5C%20form%3A%5C%20Ax%2BBy%3DC%5C%5C%5C%5CSlope-intercept%5C%20form%3A%5C%20y%3Dmx%2Bb%5C%5Cm-slope%2C%5C%20b-y-intercept)
![Slope:\ m=\dfrac{b}{a}\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0](https://tex.z-dn.net/?f=Slope%3A%5C%20m%3D%5Cdfrac%7Bb%7D%7Ba%7D%5C%5C%5C%5C%5Cuparrow%20b%5C%20units%5C%20if%5C%20b%20%3E%200%5C%5C%5Cdownarrow%20b%5C%20units%5C%20if%5C%20b%20%3C%200%5C%5C%5Cleftarrow%20a%5C%20units%5C%20if%5C%20a%20%3C%200%5C%5C%5Crightarrow%20a%5C%20units%5C%20if%5C%20a%20%3E%200)
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![Standard\ form:\\\\6x-24y=-48\\--------------------------\\6x-24=-48\qquad|-6x\\-24y=-6x-48\qquad|:(-24)\\y=\dfrac{-6}{-24}x+\dfrac{-48}{-24}\\--------------------------------\\Slope-intercept\ form:\\\\y=\dfrac{1}{4}x+2\\---------------------------\\Slope:\\\\m=\dfrac{1}{4}\begin{array}{ccc}\uparrow\\\rightarrow\\\end{array}\\------------------------------\\y-intercept\to b=2\\\\(0,\ 2)](https://tex.z-dn.net/?f=Standard%5C%20form%3A%5C%5C%5C%5C6x-24y%3D-48%5C%5C--------------------------%5C%5C6x-24%3D-48%5Cqquad%7C-6x%5C%5C-24y%3D-6x-48%5Cqquad%7C%3A%28-24%29%5C%5Cy%3D%5Cdfrac%7B-6%7D%7B-24%7Dx%2B%5Cdfrac%7B-48%7D%7B-24%7D%5C%5C--------------------------------%5C%5CSlope-intercept%5C%20form%3A%5C%5C%5C%5Cy%3D%5Cdfrac%7B1%7D%7B4%7Dx%2B2%5C%5C---------------------------%5C%5CSlope%3A%5C%5C%5C%5Cm%3D%5Cdfrac%7B1%7D%7B4%7D%5Cbegin%7Barray%7D%7Bccc%7D%5Cuparrow%5C%5C%5Crightarrow%5C%5C%5Cend%7Barray%7D%5C%5C------------------------------%5C%5Cy-intercept%5Cto%20b%3D2%5C%5C%5C%5C%280%2C%5C%202%29)
![Standard\ form:\\\\6y+10x=42\\---------------------------------\\6y+10x=42\qquad|-10x\\6y=-10x+42\qquad|:6\\y=\dfrac{-10}{6}x+\dfrac{42}{6}\\----------------------------\\Slope-intercept\ form:\\\\y=\dfrac{-5}{3}x+7\\----------------------\\Slope:\\\\m=\dfrac{-5}{3}\begin{array}{ccc}\downarrow\\\rightarrow\end{array}\\-------------------------------\\y-intercept\to b=7\\\\(0,\ 7)](https://tex.z-dn.net/?f=Standard%5C%20form%3A%5C%5C%5C%5C6y%2B10x%3D42%5C%5C---------------------------------%5C%5C6y%2B10x%3D42%5Cqquad%7C-10x%5C%5C6y%3D-10x%2B42%5Cqquad%7C%3A6%5C%5Cy%3D%5Cdfrac%7B-10%7D%7B6%7Dx%2B%5Cdfrac%7B42%7D%7B6%7D%5C%5C----------------------------%5C%5CSlope-intercept%5C%20form%3A%5C%5C%5C%5Cy%3D%5Cdfrac%7B-5%7D%7B3%7Dx%2B7%5C%5C----------------------%5C%5CSlope%3A%5C%5C%5C%5Cm%3D%5Cdfrac%7B-5%7D%7B3%7D%5Cbegin%7Barray%7D%7Bccc%7D%5Cdownarrow%5C%5C%5Crightarrow%5Cend%7Barray%7D%5C%5C-------------------------------%5C%5Cy-intercept%5Cto%20b%3D7%5C%5C%5C%5C%280%2C%5C%207%29)
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Step-by-step explanation:
Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.