Answer:
12 ft
Step-by-step explanation:
Area = Length * Width
168 = 14 * W
168/14 = W
W = 12 ft
Answer:
AED and DEF
Step-by-step explanation:
Both on a straight line equal 180 degrees (90 + <E)
Subtract 4 from both sides
R/10 = 5 - 4
Simplify 5 - 4 to 1
R/10 = 1
Multiply both sides by 10
R = 1 × 10
Simplify 1 × 10 to 10
<u>R = 10</u>
92.23 becuase if u subtract 213.20 by 305.43 it gives you the answer
<h3>Given :</h3>
![\boxed{ \rm \frac{y}{m} + \frac{y}{n} = p}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Crm%20%20%5Cfrac%7By%7D%7Bm%7D%20%2B%20%20%5Cfrac%7By%7D%7Bn%7D%20%20%3D%20p%7D)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
<h3>To find:</h3>
![\\](https://tex.z-dn.net/?f=%20%5C%5C%20)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
<h3>Step by step expansion:</h3>
![\dashrightarrow \sf\dfrac{y}{m} + \dfrac{y}{n} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%5Cdfrac%7By%7D%7Bm%7D%20%2B%20%20%5Cdfrac%7By%7D%7Bn%7D%20%20%3D%20p)
write the equation
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{\frac{y \times mn}{m} + \frac{y \times mn}{n}}{mn} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7B%5Cfrac%7By%20%5Ctimes%20mn%7D%7Bm%7D%20%2B%20%20%5Cfrac%7By%20%5Ctimes%20mn%7D%7Bn%7D%7D%7Bmn%7D%20%20%3D%20p)
Add y/n with y/n and we will get Lcm as mn
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{\frac{y \times \cancel mn}{\cancel m} + \frac{y \times m\cancel n}{\cancel n}}{mn} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7B%5Cfrac%7By%20%5Ctimes%20%20%5Ccancel%20mn%7D%7B%5Ccancel%20m%7D%20%2B%20%20%5Cfrac%7By%20%5Ctimes%20m%5Ccancel%20n%7D%7B%5Ccancel%20n%7D%7D%7Bmn%7D%20%20%3D%20p)
Cancel the similar terms
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{\frac{y \times n}{1} + \frac{y \times m}{1}}{mn} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7B%5Cfrac%7By%20%5Ctimes%20%20n%7D%7B1%7D%20%2B%20%20%5Cfrac%7By%20%5Ctimes%20m%7D%7B1%7D%7D%7Bmn%7D%20%20%3D%20p)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{yn + ym}{mn} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7Byn%20%2B%20ym%7D%7Bmn%7D%20%20%3D%20p)
remove 1 as denominator
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{y(n + m)}{mn} = p](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7By%28n%20%2B%20m%29%7D%7Bmn%7D%20%20%3D%20p)
take y as common
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{(n + m)}{mn} = \dfrac{p}{y}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7B%28n%20%2B%20m%29%7D%7Bmn%7D%20%20%3D%20%20%5Cdfrac%7Bp%7D%7By%7D%20)
transfer y to other side as denominator of p
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{mn}{(n + m)} = \dfrac{y}{p}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7Bmn%7D%7B%28n%20%2B%20m%29%7D%20%20%3D%20%20%5Cdfrac%7By%7D%7Bp%7D%20)
reciprocal the whole equation
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \sf \dfrac{mnp}{(n + m)} = \dfrac{y}{1}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5Cdfrac%7Bmnp%7D%7B%28n%20%2B%20m%29%7D%20%20%3D%20%20%5Cdfrac%7By%7D%7B1%7D%20)
transfer p other side as numerator
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\dashrightarrow \boxed{ \bf y = \dfrac{mnp}{(n + m)} }](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Cboxed%7B%20%5Cbf%20y%20%3D%20%5Cdfrac%7Bmnp%7D%7B%28n%20%2B%20m%29%7D%20%7D)
![\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20)
![\therefore \red {\underline {\textbf{\textsf{Option 2 i.e \{y= mnp/(m+n) \} is correct }}}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5Cred%20%7B%5Cunderline%20%7B%5Ctextbf%7B%5Ctextsf%7BOption%202%20i.e%20%5C%7By%3D%20mnp%2F%28m%2Bn%29%20%5C%7D%20is%20correct%20%7D%7D%7D%7D)