a.
Difference between the days of calendar year and the solar year after 100 years.
The difference between the days of calendar year and the solar year after 100 years is 24.22 days.
Given:
A day is a basic measure of time. A solar year has 365.2422 days.
Calculation:
If every calendar has 365days,
In 100 years the calendar will have,
In Solar calendar there are 365.2422 days, then in 100 years the solar calendar will have,
So, the difference between the days of calendar year and the solar year is
Thus, the difference between the days of calendar year and the solar year after 100 years is 24.22 days.
Conclusion:
The difference between the days of calendar year and the solar year after 100 years is 24.22 days.
b.
Difference between the days of calendar year and the solar year after 100 years if every fourth year has an extra “leap” day added.
Difference between the days of calendar year and the solar year after 100 years if every fourth year has an extra “leap” day added is 0.78 days.
Given:
A day is a basic measure of time. A solar year has 365.2422 days.
Calculation:
If every calendar has 365days and every fourth year has an extra leap day added, then out of 100 years, 25 years will have 366 days and 75 years will have 365 days.
In 75 years the calendar will have,
In 25 years the calendar will have,
In 100 years the calendar will have,
In Solar calendar there are 365.2422 days, then in 100 years the solar calendar will have,
So, the difference between the days of calendar year and the solar year is
Thus, the difference between the days of calendar year and the solar year after 100 years if every fourth year has an extra “leap” day added is 0.78 days.
Conclusion:
Difference between the days of calendar year and the solar year after 100 years if every fourth year has an extra “leap” day added.
c.
Difference between the days of calendar year and the solar year after 100 years if every hundred years the “leap” day is omitted.
Difference between the days of calendar year and the solar year after 100 years is 0.22 days, if every hundred years the “leap” day is omitted.
Given:
A day is a basic measure of time. A solar year has 365.2422 days.
Calculation:
If every calendar has 365days and every fourth year has an extra leap day added but the hundredth year will not be counted as a leap year, then out of 100 years, 24 years will have 366 days and 76 years will have 365 days.
In 76 years the calendar will have,
In 24 years the calendar will have,
In 100 years the calendar will have,
In Solar calendar there are 365.2422 days, then in 100 years the solar calendar will have,
So, the difference between the days of calendar year and the solar year is
Thus, the difference between the days of calendar year and the solar year after 100 years is 0.22 days, if every hundred years the “leap” day is omitted.
Conclusion:
Difference between the days of calendar year and the solar year after 100 years is 0.22 days, if every hundred years the “leap” day is omitted.
d.
The difference between the calendar year and the solar year should be zero.
It is important that the difference between the calendar year and the solar year should be zero.
Given information:
A day is a basic measure of time. A solar year has 365.2422 days.
Explanation:
Every calendar has 365days and the solar calendar has365.2422 days. The difference between the days of calendar year and the solar year is
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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