Answer:
34 + 8n
Step-by-step explanation:
a₁ = 42
a₂ = a₁ + 8 = 42 + 8 = 50
a₃ = a₂ + 8 = 50 + 8 = 58
a₄ = a₃ + 8 = 58 + 8 = 66
Arithmetic sequence: 42, 50 , 58 , 66, ......
a₁ = 42 ; d = 8
= a₁ + d(n-1)
= 42 + 8(n - 1)
= 42 + 8n - 8
= 34 + 8n
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Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
