If-W-varies-jointly-as-L-and-the-square-of-R-Find-the-percentage-change-in-W-if-L-increases-by-20-and-R-increases-by-50-If-W-15-when-H-3-and-R-2-1-3-find-W-when-H-1-and-R-10-Find-also-W-interm

Question Number 139959 by Engr_Jidda last updated on 02/May/21

I f W v a r i e s j o i n t l y a s L a n d t h e

s q u a r e o f R . F i n d t h e p e r c e n t a g e

c h a n g e i n W i f L i n c r e a s e s b y 20 %

a n d R i n c r e a s e s b y 50 % .

I f W = 15 w h e n H = 3 a n d R = 2 \frac{1}{3} . f i n d

W w h e n H = 1 a n d R = 10 .

F i n d a l s o W i n t e r m s o f H a n d R .

Answered by TheSupreme last updated on 02/May/21

w = {k l r}^{2}

w^{'} = k (1.2 l) {(1.5 r)}^{2} = 1.2 \times 2.25 {k r l}^{2} = 2.7 w

\frac{w^{'}}{w} \times 100 = 270 %

a s s u m i n g 2 \frac{1}{3} = \frac{7}{3}

15 = k 3 {(\frac{7}{3})}^{2} = k \frac{49}{3} \to k = \frac{45}{49}

W = \frac{45}{49} \times 1 \times 10^{2} = \frac{4500}{49} = 91.8367 \dots

Commented by Engr_Jidda last updated on 02/May/21

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