Answer:
$175
Step-by-step explanation:
100 divided by 8 is 12.5
12.5 x 14 is 175.
The GCF of 24, 40, and 72 is 8.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
G=0.0728
The expression given is:
This expression has the format of a compounded interest at a rate G for a time T. If B = 3,455, A = 1,969, and T = 8, the value of the rate G is determined by:
The rate G is 0.0728.
56
Perimeter= 4S
Perimeter= 4(5)
Perimeter= 20
Perimeter 2= 2(L+W)
Perimeter 2= 2(11+7)
Perimeter 2= 22+14
Perimeter 2= 36
Total Perimeter= P1+P2
Total Perimeter= 20+36
Total Perimeter= 56
Length: 2w + 59
width: w
diagonal: (2w + 59) + 2 = 2w + 61
Length² + width² = diagonal²
(2w + 59)² + (w)² = (2w + 61)²
(4w² + 118w + 3481) + w² = 4w² + 122w + 3721
5w² + 118w + 3481 = 4w² + 122w + 3721
w² + 118w + 3481 = 122w + 3721
w² - 4w + 3481 = 3721
w² - 4w - 240 = 0
a = 1, b = -4, c = -240
w =
=
since width cannot be negative, disregard 1 - 2√61
w = 1 + 2√61 ≈ 16.62
Length: 2w + 59 = 2(1 + 2√61) + 59 = 2 + 4√61 + 59 = 61 + 4√61 ≈ 92.24
Answer: width = 16.62 in, length = 92.24 in