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Elina [12.6K]
3 years ago
5

How do I solve this problem

Mathematics
1 answer:
Flura [38]3 years ago
3 0
Shaded is 8.67
Circle A= pir^2
A= 3.14(4)(4)
A= 50.24

Hexagon
A= 1/2ap
1/2(4)(2sqrtof3)(6)
A= 41.569

50.24-41.569=8.671


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Step-by-step explanation:

The given quantity was in the unit \displaystyle \frac{\text{pint}}{\text{minute}} while the required quantity should have the unit \displaystyle \frac{\text{quart}}{\text{hour}}. It would thus be necessary to use conversion factors of the following forms:

\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}}  \end{aligned}.

Make use of the fact that:

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Rearrange the equation 1\; \text{pint} = 0.5\; \text{quart} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}.

Similarly, rearrange the equation 60\; \text{minute} = 1\; \text{hour} to obtain the conversion factor:

\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}.

Combine both conversion factors and evaluate:

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