Mathematics, 19.02.2020 04:00, jeanieb
The optimum diameter d (in millimeters) of the pinhole in a pinhole camera can be modeled by d=1.9[(5.5×10−4)L]1/2, where is the length (in millimeters) of the camera box. Find the optimum pinhole diameter for a camera box with a length of 10 centimeters. Round your answer to the nearest hundredth.
Answers: 1
![d = 1.9[(5.5 \times 10^{-4})l]^{\frac{1}{2}}](/tpl/images/0515/3433/db7db.png)
![d = 1.9[(5.5 \times 10^{-4}) \times 100]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-4} \times 10^2]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-2}]^{\frac{1}{2}}\\\\d = 1.9 \times 5.5^{\frac{1}{2} \times 10^{-1}}\\\\d = 0.19 \times 2.345207\\\\d = 0.4455 \approx 0.446](/tpl/images/0515/3433/9e582.png)
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