Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


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:
2d +18
Step-by-step explanation:
use distributive property:
a(b+c)
= ab+ac