The number of miles driven varies directly with the number of hours in the car. Billy drives 171 miles in 3 hours, so he could d
2 answers:
Remember that direct variation means that you have a relationship of the form
In this case it's a special equation, namely distance=rate*time. So first we have to find the rate given the information in the problem:
Now we know that the rate is constant since Billy's distance varies directly with time. The next step is to find distance given a different amount time:
You can finish that one off!
In this case it's a special equation, namely distance=rate*time. So first we have to find the rate given the information in the problem:
Now we know that the rate is constant since Billy's distance varies directly with time. The next step is to find distance given a different amount time:
You can finish that one off!
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The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) =
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
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