The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the r
1 answer:
9514 1404 393
Answer:
6.5 ft wide by 8 ft long
Step-by-step explanation:
We can let x represent the width of the rectangle. Then the length is ...
L = 2x -5
and the area is ...
A = LW = (2x -5)(x) = 52
2x² -5x -52 = 0 . . . . . put in standard form
(2x -13)(x +4) = 0 . . . . factor
x = 6.5, -4 . . . . . . . . . . values that make the factors zero
The length is then ...
L = A/W = 52/6.5 = 8
or
L = 2W -5 = 2(6.5) -5 = 13 -5 = 8
The rectangle is 6.5 feet wide and 8 feet long.
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Answer:
Step-by-step explanation:
Data provided in the question:
Number of cups of tea offered = 3
Number of cups marked = 9
Number of cups tasted by each = 4
Now,
The probability that a contestant does not taste all of the samples
= contestant tastes only 2 samples of tea
=
C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples
C₃² = number of ways to choose which 2 samples will be tasted
[ as 2 samples × 3 cups each = 6 cups ]
C₉⁴ = Number of ways to choose 4 cups out of 9
=
Hence,
the correct answer is option (B) 5/14