Is bleeding that lasts for nine or ten days considered menstruation (Hayd)?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
If the duration of the bleeding does not exceed fifteen days, then all of it is considered menstruation (Hayd), even if the regular cycle ('Adah) has changed. And Allah the Exalted knows best.
Is it permissible to divide one mudd of fidyah between two people?
No, it is not permissible to divide one mudd between two people, because it would not count as a full meal for either of them.
Is it permissible for one who sacrifices on behalf of another, with the latter's permission, to eat from the sacrifice?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
It is permissible for one who sacrifices on behalf of another with his permission to eat from the sacrifice with his permission, and he takes his place in distributing its meat.
It is stated in Hashiyat al-Jamal 'ala Sharh al-Minhaj (Vol.5/P.262): 'If a person sacrifices on behalf of a living individual with his permission, does he take the place of that individual in distributing the meat, because permission for the sacrifice implies permission for distribution, or does it depend on explicit permission? There is room for consideration, but the former view is not far-fetched.' And Allah Almighty knows best."
Who is required to give fidyah for fasting?
Fidyah—feeding one needy person for each missed fasting day—is required for:
1. Those who are permanently unable to fast, such as:
○ Elderly men and women who are too weak to fast.
○ People with chronic illnesses that have no hope of recovery.
2. Pregnant or breastfeeding women who break their fast out of fear for their child (fetus or infant).
3. A person who delays making up Ramadan fasts (qada) until the next Ramadan begins, without a valid excuse.
4. The estate of a deceased person who had missed obligatory fasts and had the ability to make them up but did not do so.