Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74

Respuesta :

The correct answer to this question is "7 times square root of 74 over 74."


First, we need to get for the "r."r^2 = (−5)^2 + 7^2r^2 = 25 + 49r^2 = 74r = square root of 74



Then, after that, we need to formulate the equation of a sin:sin x = 7 / rsin x = 7 / sqrt(74)sin x = 7 * sqrt (74) / 74

hope this helpsss


Answer:

Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]

Step-by-step explanation:

At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.

As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)

So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]

Here Height of the triangle = 7

and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]

By putting these values in the expression

[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]

Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]

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