3 years ago

It takes Imani 6 times as long as Carissa to travel to school each morning. If it takes Imani 18

Mathematics

1 answer:

dezoksy [38]3 years ago

8 0

Answer:

6x=18

Step-by-step explanation:

I think that the answer is 3 but im not sure about the equation the reason i think that the equation is 6x=18 is because if you replace x with 3 you get 18

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How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

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now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

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