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Mathematics, 19.03.2020 18:07 sherifour

All but 4 capitals have an interstate highway serving them. What percent of 50 is 4 ?

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Answers: 1
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Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}

\tan\left(x\right)=\frac{p}{r}

\frac{p}{r}=tan(x)

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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