Answer:
4cm
Step-by-step explanation:
Firstly, we need to know the perimeter of the rectangle so as to know the length used to make the rectangle. This is 2(l + b)
P = 2(12 + 6) = 2(18) = 36cm
The length remaining to make the hexagon would be 60 - 36 = 24cm
Now since the hexagon is regular, the length of each side would be 24/6 = 4cm
Note: hexagon is a polygon with 6 sides
F ( x ) = ( x + 7 ) ( x + 4 ) - ( x + 5 ) ( x + 2 ) =
= ( x² + 4 x + 7 x + 28 ) - ( x² + 2 x + 5 x + 10 ) =
= ( x² + 11 x + 28 ) - ( x² + 7 x + 10 ) =
= x² + 11 x + 28 - x² - 7 x - 10 = 4 x + 18
Answer:
The area of the shaded region is 4 x + 18.
Because p is 150 greater than q we can substitute p like p = 150 + q.
When we plug this in it looks like this
(150 + q) + q = 1000
subtract 150 from the left side
q + q = 850
2q = 850
divide 2 to get q alone
q = 425
The arithmetic sequence is 40, 47, 54 etc. In this case, the arithmetic difference is 7 and a1 being the first term is 40. Hence the arithmetic equation is an = 40 + 7*(n-1) where an is the nth term and n is an integer. Hence the answer to this problem is B.<span>a_n = 40 + 7(n − 1) where n ≥ 1 </span>
