Answer:
Step-by-step explanation:
Given sequence:
Therefore,
General form of an arithmetic sequence:
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
Therefore,
To find the 6th term, input n = 6 into the equation:
Answer:
The first one. 4 times square root of 3.
Step-by-step explanation:
The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.
Answer:
696 miles at the first day, and 174 miles at the second day.
Step-by-step explanation:
Given:
Richard and Linda enjoy visiting Hilton Head Island, South Carolina.
The distance from their home to Hilton Head is 870 miles.
So, the drive takes them 2 days.
<u>Richard and Linda travel four times as far the first day as they do the second day.</u>
Question asked:
How many miles do they travel each day?
Solution:
Let Richard and Linda traveled at the first day =
Then Richard and Linda traveled at the second day will be =
Total distance from their home to Hilton Head = 870 miles
Traveled at the first day in miles + Traveled at the second day = 870
By substituting the value:
Richard and Linda traveled at the first day = = 174 miles
Richard and Linda traveled at the second day will be =
Therefore, they traveled 696 miles at the first day and 174 miles at the second day.