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Bogdan [553]
3 years ago
13

Container A and container B have leaks. Container A has 800 milaliters of water and is leaking 6 milaliters per minute. Containe

r B has 1000 milaliters and is leaking 10 milaliters per minute. How many minutes will it take for the two containers to have the same amount of water
Mathematics
1 answer:
kap26 [50]3 years ago
5 0

Answer:

50 minutes

(1000-50 (10))=(800-50 (6))

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If the arc length shown in blue is 21.3 inches, then 0 to the nearest hundredth of a<br> radian is
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Answer: \theta\approx1.78\ rad

Step-by-step explanation:

By definition, the Arc lenght can be calculated with the following formula:

s=r\theta

Where "s" is the Arc lenght, "r" is the radius and \theta is the central angle measured in radians.

From that equation you can solve for \theta dividing both sides of the equation by the radius "r", then:

\frac{s}{r}=\frac{r\theta}{r}\\\\\theta=\frac{s}{r}

According to the information given in the exercise:

s=21.3\ in

And you can identify in the figure that the radius of the circle is:

r=12\ in

Therefore, you can substitute values into the equation:

\theta=\frac{21.3\ in}{12\ in}

Finally, evaluating, you get the following result:

\theta=1.775\ rad

Rounded to the nearest hundredth of a radian:

\theta\approx1.78\ rad

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