6. The shadow of an object varies directly os. its height. A man 1.8 meters tall casts a shadaw of 4.32 m long. If at the same time a flagpole casts a shadow 12.8 m long, how high is the flagpole 7. Jenny earn 450 pesos in selling apples in 4 Sundoys. How many sunday will it talke her to earn I, 350 pesos ? s. Everyday, your run 5 kilomeiters in 40 ninutes your frimed friend run 8 lulometers everyday at the same pace as you, How. ong is your friends run?

5.1 Examine the numerous forms of leadership styles that can be implemented in the provided case study to effectively manage group dynamics that affect the progression and completion of the project successfully. (10)

b. The player loses on the first roll if he rolls a sum of 2,3 , or 12 . What is the probability of losing on the first roll?

4) In the opposite figure: \( \overrightarrow{\mathrm{AB}}, \overline{\mathrm{DC}} \) are two chords of circle, \( \overrightarrow{\mathrm{AB}} \cap \overrightarrow{\mathrm{DC}}=\{\mathrm{E}\} \), \( \mathrm{AB}=\mathbf{2} \mathrm{cm}, \mathrm{CD}=\mathbf{3 . 5} \mathrm{cm}, \mathrm{BE}=\mathbf{3 ~ c m} \), First: prove that: \( \triangle \mathrm{ACE} \sim \triangle \mathrm{DBE} \) Second find the length of \( \overrightarrow{\mathrm{CE}} \)

Use principle of Mathematical Induction to prove that: \[ \frac{1}{1 * 2}+\frac{1}{2 * 3}+\ldots \ldots \ldots \ldots+\frac{1}{n(n+1)}=\frac{n}{n+1} \]

\( 8>3 x+5 \) or \( 3 x+5 \geq 29 \)