a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the
suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?
1 answer:
Given parameters:
Length of the suitcase = 24 inches
Length of the diagonal = 30 inches
Unknown:
Length of zipper required to cover the perimeter = ?
The length of this zipper is the same as the perimeter of the rectangular suitcase.
Perimeter of a rectangle = 2(L + B)
where L is the length and B is the breadth
Now, let us find the find the unknown breadth;
Using Pythagoras theorem;
30² = 24² + Breadth²
Breadth² = 30² - 24² = 324
Breadth = √324 = 18 inches
Perimeter of the suitcase = 2(24 + 18) = 84 inches.
The length of zipper that will cover this suitcase is 84inches.
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Answer:
(x, y) = (4, 3)
Step-by-step explanation:
The first equation gives an expression for y that can be substituted into the second equation:
3(2x -5) -x = 5
5x -15 = 5 . . . . . . simplify
5x = 20 . . . . . . . .add 15
x = 4 . . . . . . . . . . divide by 5
y = 2(4) -5 = 3 . . substitute for x in the first equation
(x, y) = (4, 3)
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Solution by graphing confirms this result.
