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lozanna [386]
3 years ago
11

the cosine of an angle is the ratio of the length of the leg_______that angle to the length of the _________.?help please

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

The cosine of an angle is the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse.

Step-by-step explanation:

  • In a right angled triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.
  • Also it is the sine of the complementary angle.
  • The abbreviation is cos
  • The longest side of the triangle is called the hypotenuse,
  • The side opposite the angle theta is called the opposite side,
  • The third side is called the adjacent side.
  • Therefore, cos(\theta) = \frac{adjacent}{ hypotenuse}

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Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

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<em>=> b = 7</em>

<em />

So that the equation in point-slope form of the given line is:

<em>y = (-4/3)*x + 7</em>

<em />

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