Can someone help me with this. (Convert the repeating decimal to a fraction show all your work)
1 answer:
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Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = =
=
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = ≈ 14. 4 ( to 3 sig. figs )
The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24
<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>The given equation is presented as follows;
Factoring the common denominator, we have;
Simplifying the numerator of the right hand side using a graphing calculator, we get;
By expanding and collecting, the terms of the numerator gives;
-(x³ - 48•x + 651•x - 2548)
Given that the terms of the numerator have several factors in common, we get;
-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)
Which gives;
Which gives;
x - 4 = 20
Therefore;
- x = 20 + 4 = 24
Learn more about polynomials with fractions here:
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