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Lina20 [59]
3 years ago
15

Stefanie is painting her bedroom. She can paint

Mathematics
2 answers:
quester [9]3 years ago
8 0
2/5= 12/1/3 feet
1 hour = 30/5/6 feet
mina [271]3 years ago
7 0

Answer:

30 5/6 square feet

Step-by-step explanation:

We can calculate it with a direct rule of 3. If in 2/5 hour she can paint 12 1/3 square feet, how many square feet will she paint in one hour?

Let's notice that 12 1/3 = 37/3.

\text{2/5 hour} -\!\!\!-\!\!\!- \text{37/3 square feet}\\ \text{1 hour} -\!\!\!-\!\!\!- \text{x square feet}

We use the formula of the direct rule of 3:

x = \frac {1*\frac{37}{3} } {\frac{2}{5} } \\ \\ x = \frac {\frac{37}{3} } {\frac{2}{5} } \\ \\ x = \frac{37}{3} * \frac{5}{2}= \frac{185}{6}

x = 185/6 = 30 5/6 square feet

She can paint 30 5/6 square feet in one hour.

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A)

\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}

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Answer:

Step-by-step explanation:

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The answer is x=34 degrees.

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Step-by-step explanation:

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