The coworkers buy a baby shower gift for 60$. The local tax rate is 6% how much was the tax ?
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Answer:
Jane's height is <u>63 inches</u>.
Step-by-step explanation:
Given:
Jane has her height measured using a metric ruler as 1.6 meters. She would like to know her height in inches. She knows that there are 100 centimeters in a meter and 2.54 centimeters in an inch.
Now, to find jane's height to the nearest inch.
The height of Jane measured using metric ruler = 1.6 meters.
As, 1 meter = 100 centimeters.
So, by using conversion factor we convert the height of Jane into centimeters from meters:
<em>Height of Jane in centimeters = 160.</em>
As given, 2.54 centimeters in an inch.
Now, we convert the centimeters by using unitary method:
If, 2.54 centimeters = 1 inch.
Then, 1 centimeters =
So, 160 centimeters =
<em>Thus, the height nearest to inch = 63 inches.</em>
Therefore, Jane's height is 63 inches.
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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