Answer:
(a) 
(b) 4 miles
Step-by-step explanation:
Given:
The sequence of run is an arithmetic sequence.
Miles traveled on day 1 = 1 mile
Miles traveled on day 7 = 2 miles
(a).
Explicit formula for an arithmetic sequence is given as:

Here, 
So,

Therefore, the explicit definition of the above sequence is given as:

Where,
is the miles covered on
day.
(b)
In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

Therefore, the number of miles covered by her on day 19 is 4 miles.
5^2 +12^2= diagonal^2
25+144=d^2
169= d^2
D= 13
The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:





The area of the pentagon is then calculated using:

So, we have:

Simplify the expressions in both brackets


Remove absolute bracket


Hence, the area of the pentagon is 19 square units
Read more about areas at:
brainly.com/question/1423568
Answer:
correct answer is 406/25+a10
Step-by-step explanation: