Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also $y^{2} = x^{2} + (25)^{2} \\ = (15sinA)^{2} + 625 \\ =225 sin^{2} A+625 \\ y= \sqrt{225 sin^{2} A+625} 
$
The last option

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Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>

It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format $\frac{p}{q}$ .

In this problem:

The leading coefficient is 1, hence it's only factor is $q = 1$ , thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.