Length = 2(width)
perimeter = 36 cm
using variables where x = width and y = length
Perimeter = 2x + 2y = 36 cm
y = 2x
solving for length 2x + 2(2x) = 36 cm
2x + 4x = 36 cm
6x = 36 cm
x = 6 cm
so y = 2(6 cm) = 12 cm
area of rectangle = 12 cm * 6 cm = 72 cm^2
Answer:
a₄₂ = 107
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂₇ = 66 , then
a₁ + 26d = 66 , that is
- 12 + 26d = 66 ( add 12 to both sides )
26d = 78 ( divide both sides by 26 )
d = 3
Then
a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111
Answer:
47
Step-by-step explanation:
substitute the value of 5 in for c and 7 in for d;
(5) + 6(7)
5 + 42
47
Answer:
C = 17/7 or 2 3/7
D = -4/7
Step-by-step explanation:
3C+4D=5
2C+5D=2
2C = 2 - 5D
C = 1 - 2.5D
3(1 - 2.5D) + 4D = 5
3 - 7.5D + 4D = 5
-3.5D = 2
D = -4/7
C = 1 - 2.5(-4/7)
C = 1 + 10/7 = 17/7
