A security mirror in a shop is designed to give a wide-angle view, but as a result

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A security mirror in a shop is designed to give a wide-angle view, but as a result the images it forms are much smaller than their objects. If you want an image that appears \(10.0 \mathrm{~m}\) behind the mirror to have a magnification of \(10.0 \%\), what radius of curvature must the mirror have?

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