Answer :
Let's solve the two questions one by one.
Question 9:
To determine where the hour hand stops after making [tex]\frac{3}{4}[/tex] of a revolution, we need to understand how many hours this represents.
- A full revolution of the hour hand on a clock is 12 hours since there are 12 hours on a clock.
- [tex]\frac{3}{4}[/tex] of a revolution is: [tex]12 \times \frac{3}{4} = 9[/tex] hours.
Therefore, the hour hand, starting at 2, will move 9 hours clockwise.
- Start at 2, and count 9 hours: 3, 4, 5, 6, 7, 8, 9, 10, 11.
The hour hand will stop at 11.
Correct Option: A) 11
Question 10:
Ramya initially bought 7.5 metres of cloth. She used part of this cloth to make a shirt.
The cloth used is 2 metres and 75 centimetres.
First, convert 75 centimetres into metres, knowing that 1 metre = 100 centimetres:
[tex]75 \text{ cm} = \frac{75}{100} \text{ m} = 0.75 \text{ m}[/tex]Now add the meters:
[tex]2 \text{ m} + 0.75 \text{ m} = 2.75 \text{ m}[/tex]Subtract the used cloth from the initial amount:
[tex]7.5 \text{ m} - 2.75 \text{ m} = 4.75 \text{ m}[/tex]
Ramya has 4.75 metres of cloth left.
Correct Option: A) 4.75 metres