Z 30 The problem calls for finding the values of the unknown quantities x, y, and z. [Hint: By properties of similar triangles, y/(y+z) x/30.] Another Old Babylonian problem calls for finding the length of the sides of an isosceles trapezoid, given that its area is 150, that the difference of its bases is 5 (that is, b1 - b2 =5), and that its equal sides are 10 greater than two-thirds of the sum of its bases (that is, 5. (b1b2)10). S1 = S2 b2 $2 S1 150 Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, of A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 6. 2ab2 d at

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Chapter2: Second-order Linear Odes
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Z
30
The problem calls for finding the values of the
unknown quantities x, y, and z. [Hint: By properties of
similar triangles, y/(y+z) x/30.]
Another Old Babylonian problem calls for finding the
length of the sides of an isosceles trapezoid, given that
its area is 150, that the difference of its bases is 5 (that
is, b1 - b2 =5), and that its equal sides are 10 greater
than two-thirds of the sum of its bases (that is,
5.
(b1b2)10).
S1 = S2
b2
$2
S1
150
Solve this problem using an incorrect Babylonian
formula for the area of a trapezoid, namely,
of
A =
2
2
A Babylonian tablet of 2000 B.C. gives two methods
for calculating the diagonal d of a rectangle with sides
of length 40 and 10 units. The first leads (in specific
numbers) to the approximation
6.
2ab2
d at
Transcribed Image Text:Z 30 The problem calls for finding the values of the unknown quantities x, y, and z. [Hint: By properties of similar triangles, y/(y+z) x/30.] Another Old Babylonian problem calls for finding the length of the sides of an isosceles trapezoid, given that its area is 150, that the difference of its bases is 5 (that is, b1 - b2 =5), and that its equal sides are 10 greater than two-thirds of the sum of its bases (that is, 5. (b1b2)10). S1 = S2 b2 $2 S1 150 Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, of A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 6. 2ab2 d at
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