77 7/8% into a fraction
1 answer:
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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
Answer:
Step-by-step explanation:
A rectangular prism is also know as a cuboid.
The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.
The volume of a cuboid (rectangular prism) is given as:
V = L * B * H
Hence, the volume of the bath tub is:
V = 5½ * 2½ * 2¾
V = 11/2 * 5/2 * 11/4
V = 605 / 16 =
The volume of the bath tub is