Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
34 and 38 are both multiples of 34 and 38 so divide each by 2
34/38 = 17/19
this is its simplest form as it cannot be cancelled down any more
Answer:
66.3 sq ft
Step-by-step explanation:
Here's the plan: we'll find the area of the circle then subtract the area of the triangle.
Area of circle:
A = pi•r^2
= pi•6^2
= 3.14•36
~= 113.04
Area of triangle:
A = 1/2bh
= 1/2(10.39)(9)
The height is the 6+3 in the image.
~= 46.755
Subtract to find
Area of Shaded:
113.04 - 46.755
= 66.285
Round to nearest tenth.
~= 66.3 sq ft
The sum is 10s^2t-5st^2. With two separate sections it’s a binomial, and the sum of the powers of the variables is 2+1=3, it has a degree of 3.
