IDNStudy.com, ang iyong pangunahing mapagkukunan para sa mga sagot ng eksperto. Ang aming mga eksperto ay handang magbigay ng malalim na sagot at praktikal na solusyon sa lahat ng iyong mga tanong.
Sagot :
✒️VARIATIONS
[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]
[tex] \large\underline{\mathbb{PROBLEM}:} [/tex]
- If r varies directly as s and inversely as the square of u, and r=2 when s=18 and u=2. find out r when u=3 and s=27
[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]
[tex] \large\underline{\mathbb{ANSWER}:} [/tex]
[tex] \qquad \Large \:\: \rm{r = \frac{\,4\,}{3}} \\ [/tex]
[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]
[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]
» Create the equation of a combined variation in which k is the constant.
- [tex] r = \frac{\,ks\,}{u^2} \\ [/tex]
» Find the constant of the variation.
- [tex] 2 = \frac{\,k(18)\,}{2^2} \\ [/tex]
- [tex] 2 = \frac{\,k(18)\,}{4} \\ [/tex]
- [tex] 2 = \frac{\,k(9)\,}{2} \\ [/tex]
- [tex] 2\cdot\frac{\,2\,}{9} = \frac{\,k(9)\,}{2} \cdot \frac{\,2\,}{9} \\ [/tex]
- [tex] \frac{\,4\,}{9} = k \\ [/tex]
» The constant is 4/9. Find r when u is 3 and s is 27.
- [tex] r = \frac{\,\frac49s\,}{u^2} \\ [/tex]
- [tex] r = \frac{\,\frac49(27)\,}{3^2} \\ [/tex]
- [tex] r = \frac{\,\frac{108}9\,}{9} \\ [/tex]
- [tex] r = \frac{\,12\,}{9} \\ [/tex]
- [tex] r = \frac{\,4\,}{3} \\ [/tex]
[tex] \therefore [/tex] The value of r is 4/3
[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]
(ノ^_^)ノ
✒️[tex]\large{\mathcal{ANSWER}}[/tex]
[tex]======================[/tex]
If r varies directly as s and inversely as the square of u, and r=2 when s=18 and u=2. find out r when u=3 and s=27.
[tex] \: \boxed{r = \frac{4}{3}} [/tex]
[tex]------------------[/tex]
Computation / Solution;
[tex]set \: r = m \frac{s}{u {}^{2} } [/tex]
r = 2 when s = 18 , u = 12
[tex]2 = m = \frac{18}{ {2}^{2} } [/tex]
[tex]2 = m = \frac{18}{4} [/tex]
[tex]18m = 8[/tex]
[tex]m = \frac{4}{9} [/tex]
[tex]r = \frac{4s}{9 {u}^{2} } [/tex]
when u = 3, s = 27
[tex]r = \frac{4 \times 27}{9 \times {3}^{2} } [/tex]
[tex]r = \frac{4 \times 27}{9 \times 3 \times 3} [/tex]
[tex]r = \frac{4}{3} [/tex]
So the answer is [tex]r = \frac{4}{3} [/tex]
Ang iyong presensya ay mahalaga sa amin. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. May mga katanungan ka? Ang IDNStudy.com ang may sagot. Bisitahin kami palagi para sa pinakabagong impormasyon.