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IRISSAK [1]
3 years ago
7

0.25 with the 5 recurring as a fraction simplified

Mathematics
1 answer:
sweet [91]3 years ago
4 0
Let x = 0.25555…
10x=2.555…
9x=2.3
90x=23
x=23/90
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Nimfa-mama [501]
A) The answer is 24 m

x - the distance from the spot on the beach to the parking lot

Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
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b) The answer is 40 m.

x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.

First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
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c = 32 m + 18 m = 50 m

Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
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900 = a²
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Now, find b:
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b² = 2500 - 900
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Thus the distance from the parking lot to get the refreshment stand is 40 m.
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