Tyler Kirk
11/19/2023 · Elementary School
\( \frac{600 n}{w(0.6 n+169)} \) where \( w \) is the weight of a 122 -pound person and \( n \) is the number of drinks per hour, and a calculator to compute the BAC for integers from \( n=1 \) to \( n=10 \). How many drinks can the person consume in an hour without exceeding the legal measure of drunk driving? According to this model, the person can consume drinks in an hour without exceeding the legal measure of drunk driving.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sin(45) \).
Calculate the value by following steps:
- step0: Calculate:
\(\sin\left(45\right)\)
Calculate or simplify the expression \( \cos(\pi/4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\cos\left(\frac{\pi }{4}\right)\)
- step1: Calculate the trigonometric value:
\(\frac{\sqrt{2}}{2}\)
Calculate or simplify the expression \( \sin(45)/\cos(\pi/4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\sin\left(45\right)}{\cos\left(\frac{\pi }{4}\right)}\)
- step1: Transform the expression:
\(\frac{2\sin\left(45\right)}{\sqrt{2}}\)
- step2: Multiply by the Conjugate:
\(\frac{2\sin\left(45\right)\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\)
- step3: Multiply the numbers:
\(\frac{2\sqrt{2}\times \sin\left(45\right)}{\sqrt{2}\times \sqrt{2}}\)
- step4: Multiply the numbers:
\(\frac{2\sqrt{2}\times \sin\left(45\right)}{2}\)
- step5: Reduce the fraction:
\(\sqrt{2}\times \sin\left(45\right)\)
The value of \( \frac{\sin(45^{\circ})}{\cos(\frac{\pi}{4})} \) is \( \sqrt{2} \).
Quick Answer
\( \sqrt{2} \).
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