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Elena-2011 [213]
3 years ago
13

Convert 153 degrees into radians to the nearest to decimals places

Mathematics
1 answer:
STatiana [176]3 years ago
6 0
Since we know there are π radians in 180°, then how many radians are there in 153°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&153
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x
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(a) If y(t) is the mass after t days and y(0) = A then y(t) = Ae^{kt}.

y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945

\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\  ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}

(b)
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3 years ago
Evaluate 5xyz + 3y for x=2.5, y=12, and z=4
Reika [66]

Answer:

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Step-by-step explanation:

5xyz+3y

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636

8 0
3 years ago
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lesya [120]

Answer:

No solutions

Step-by-step explanation:

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This equation has no solutions. Hope this helps!

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Answer:

A)26

Step-by-step explanation:

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