where, s = arc length r = radius theta = angle in radians Note: if the angle is not in radians, you have to convert it over to radians. However, in this case we are told the angle is "5pi/4 radians". So no conversion is needed.
In this case, s = unknown (this is what we want to solve for) r = 34 theta = 5pi/4 keep in mind that 5pi/4 is the same as (5/4)*pi
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Plug the value of r and theta into the formula to get... s = r*theta s = 34*(5pi/4) s = (34*5/4)*pi s = 42.5*pi s = 42.5*3.14 s = 133.45
sin(angle) = opposite/hypotenuse sin(61.7) = 8/y y*sin(61.7) = 8 y = 8/sin(61.7) y = 9.08598042654456 ... use a calculator y = 9 ... rounding to the nearest whole number
In this current stage, I cannot answer this question because the image isn't showing up. On my end, all I see is a black rectangle with no triangle showing. It seems like some kind of glitch is happening. Please repost this image. Thank you.
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Problem 5
There are multiple answers here so it seems like there should be a restriction. Does it state what the restriction must be? Please let me know. Thank you.
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Problem 6
Rule: sin(x) = cos(90-x) where x is an angle in degrees
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Using that rule mentioned above, we can replace the "sin(x)" term with "cos(90-x)" then solve for x
cos(63) = sin(x) cos(63) = cos(90-x) both arguments must be equal, so 63 must be equal to 90-x
