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Doss [256]
3 years ago
9

When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs. What is th

at percent rounded to the nearest compatible fraction?
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0
22/100=> 11/50 would be the answer
FromTheMoon [43]3 years ago
5 0

Answer: \dfrac{11}{50}

Step-by-step explanation:

Given : When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs.

We know that to convert a percent into a fraction , we need to divide the percent by 100 , we get

22\%=\dfrac{22}{100}

Which can be written as :\dfrac{2\times11}{2\times50}

Cancel out 2 from the numerator and the denominator , we get

\dfrac{11}{50}

Hence, 22% rounded to the nearest compatible fraction \dfrac{11}{50}

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Answer:

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vfiekz [6]

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We can use the notabl angle \pi/4 and we know that :

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Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

Part b

From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

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