Top triangle((6X9)/2)=27square 7x9=63 parallelogram 7X9=69 right triangle ((7X6)/2)=21 so 27+63+63+21=174
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
Answer:
y <7
Step-by-step explanation:
Move all terms not containing y to the right side of the inequality.
Answer:
A = 108 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A =
h (b₁ + b₂ )
where h is the height between the 2 bases and b₁, b₂ are the parallel bases
Here h = 24 , b₁ = 8 , b₂ = 1 , then
A =
× 24 × (8 + 1) = 12 × 9 = 108 units²
Angles:
2 acute angles and 2 obtuse angles
Sides:
2 pairs pf parallel sides