document.write( "Question 813804: A mirror for a reflecting telescope has the shape of a (finite) paraboloid of diameter 16 inches and depth 1 inch. How far from the center of the mirror will the incoming light collect? \n" ); document.write( "
Algebra.Com's Answer #489948 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! the dimensions of a finite circular paraboloid are related by the equation: \n" ); document.write( "f = r^2/4d \n" ); document.write( "--- \n" ); document.write( "where: \n" ); document.write( "f = focal length, a distance defined by the above equation, measured along the axis of symmetry from the vertex \n" ); document.write( "--- \n" ); document.write( "r = radius of the circular paraboloid, measured perpendicularly from the axis of symmetry to the rim \n" ); document.write( "--- \n" ); document.write( "d = depth of the circular paraboloid, the distance along the axis of symmetry from the vertex to the plane of the rim \n" ); document.write( "--- \n" ); document.write( "r = 16/2 = 8 inches \n" ); document.write( "d = 1 inch \n" ); document.write( "--- \n" ); document.write( "f = r^2/4d \n" ); document.write( "f = 8^2/4(1) \n" ); document.write( "f = 64/4 \n" ); document.write( "f = 16 inches \n" ); document.write( "--- \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |