Question-74137

Question Number 74137 by MASANJAJ last updated on 19/Nov/19

Commented by TawaTawa last updated on 19/Nov/19

(16a) 5 painters will spend less hours ∴ 1 painter = 2 × 6 = 12 hrs ∴ 5 painters = ((12)/5) hrs

$$\left(\mathrm{16a}\right) \\ $$$$\:\:\:\:\:\:\mathrm{5}\:\mathrm{painters}\:\mathrm{will}\:\mathrm{spend}\:\mathrm{less}\:\mathrm{hours} \\ $$$$\therefore\:\:\:\:\:\:\:\:\:\mathrm{1}\:\mathrm{painter}\:\:\:=\:\:\mathrm{2}\:×\:\mathrm{6}\:\:=\:\:\mathrm{12}\:\mathrm{hrs} \\ $$$$\therefore\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}\:\mathrm{painters}\:\:\:\:=\:\:\:\frac{\mathrm{12}}{\mathrm{5}}\:\mathrm{hrs} \\ $$

Commented by TawaTawa last updated on 19/Nov/19

(16c) πR^2 : πr^2 = 16 : 9 R^2 : r^2 = 16 : 9 R^2 : r^2 = 4^2 : 3^2 R : r = 4 : 3 24 : r = 4 : 3 ∴ ((24)/r) = (4/3) ∴ 4r = 72 ∴ r = ((72)/4) ∴ r = 18cm

$$\left(\mathrm{16c}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\pi\mathrm{R}^{\mathrm{2}} \::\:\pi\mathrm{r}^{\mathrm{2}} \:\:=\:\:\mathrm{16}\::\:\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{R}^{\mathrm{2}} \::\:\mathrm{r}^{\mathrm{2}} \:\:=\:\:\mathrm{16}\::\:\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{R}^{\mathrm{2}} \::\:\mathrm{r}^{\mathrm{2}} \:\:=\:\:\mathrm{4}^{\mathrm{2}} \::\:\mathrm{3}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{R}\::\:\mathrm{r}\:\:=\:\:\mathrm{4}\::\:\mathrm{3} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{24}\::\:\mathrm{r}\:\:=\:\:\mathrm{4}\::\:\mathrm{3} \\ $$$$\therefore\:\:\:\:\:\:\:\:\frac{\mathrm{24}}{\mathrm{r}}\:\:=\:\:\frac{\mathrm{4}}{\mathrm{3}} \\ $$$$\therefore\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{4r}\:\:=\:\:\mathrm{72} \\ $$$$\therefore\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{r}\:\:=\:\:\frac{\mathrm{72}}{\mathrm{4}} \\ $$$$\therefore\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{r}\:\:=\:\:\mathrm{18cm} \\ $$

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