Solve the problem.A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 3 centimeters from the vertex. If the depth is to be 6 centimeters, what is the diameter of the headlight at its opening?

Fill in the blank(s) with the appropriate word(s).


about 17 cm

Mathematics

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Solve the problem.Express cos(A + B + C) in terms of sin A, sin B, sin C, cos A, cos B, and cos C.

A. cos A cos B cos C - sin A sin B cos C - sin A sin C cos B + sin B sin C cos A B. cos A cos B cos C + sin A sin B cos C + sin A sin C cos B - sin B sin C cos A C. cos A cos B cos C - sin A sin B cos C - sin A sin C cos B - sin B sin C cos A D. sin A cos B cos C + sin B cos A cos C + sin C cos A cos B - sin A sin B sin C

Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.(84/3)1/2

A. 4.21 B. 5.66 C. 4 D. -4

Mathematics

Multiply.0.105

A. 0.000315 B. 3.15 C. 0.0315 D. 0.315

Mathematics

Use the given values of the variables to find the value of the expression.-6x + 7y + 7  for x = 3, y = 1

A. 22  B. 8 C. 10  D. -4 

Mathematics