In the United States, most schools are not closed on Rosh Hashanah.
Some do, some do not. It all depends on the demographic of the school. If there is a large chunk of students that celebrate the holiday, then school will most likely close on Rosh Hashanah because enough students will miss school that day that it would be more efficient to close for the day.
In Israel, schools do not usually open until after all of the Tishrei holidays, which means that school is closed on Rosh Hashanah.
Yes, the rules of Shabbat apply during Rosh Hashanah.
Some libraries are closed on Rosh Hashanah and some are not. It depends on which library you are referring to.
In the United States, most schools are not closed on Rosh Hashanah. In countries such as Israel they might be closed. Rosh Hashanah is an important Jewish celebration and the population of Israel is largely Jewish.
Some do, but usually they don't
Rosh Hashanah was on October 3rd in 1959.
Rosh Hashanah is the Jewish New Year.
Rosh Hashanah is the Jewish New Year.
Rosh Hashanah fell on September 30th, 1943.
In 2014, Rosh Hashanah will begin at sundown on September 24.In 2015, Rosh Hashanah will begin at sundown on September 13.
Some do and some don't.
The holy days of Rosh Hashanah were on September 14-15 this year (2015). Rosh Hashanah began at sunset on September 13. During Rosh Hashanah, "L'shanah tovah" is the customary greeting.See also:More about Rosh Hashanah
rosh hasahana
Rosh Hashanah is on Rosh Chodesh. What you mean to ask is, What are the days between Rosh Hashanah and Yom Kippur. These are the Aseret Yemai Teshuvah, the Ten Days of Repentance.