Question and Answers Forum

All Questions      Topic List

Geometry Questions

Previous in All Question      Next in All Question      

Previous in Geometry      Next in Geometry      

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

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

Terms of Service

Privacy Policy

Contact: info@tinkutara.com