Write an Equation for the Hyperbola $60 \mathrm { ft }$

question 157

Multiple Choice

Write an equation for the hyperbola.
-A nuclear cooling tower cross section is a hyperbola having a diameter of $60 \mathrm { ft }$ at the center. The distance between the two foci is $92 \mathrm { ft }$ . What is the equation for the hyperbola?

• A) \(\frac { x ^ { 2 } } { 900 } - \frac { y ^ { 2 } } { 1216 } = 5\)
• B) \(\frac { x ^ { 2 } } { 900 } - \frac { y ^ { 2 } } { 1218 } = 1\)
• C) \(\frac { x ^ { 2 } } { 900 } - \frac { y ^ { 2 } } { 2116 } = 1\)
• D) \(\frac { x ^ { 2 } } { 900 } - \frac { y ^ { 2 } } { 1216 } = 1\)

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Definitions:

Labor Rate Variance

The difference between the actual cost of labor and the expected (or standard) cost, often used in manufacturing to measure efficiency and cost management.

Favorable

A term typically used in budgeting and accounting to describe variances or outcomes that are better than expected or budgeted figures.

Variable Overhead Rate Variance

The difference between the actual variable overhead incurred and the standard variable overhead estimated.

Variable Overhead Efficiency Variance

The difference between the actual hours taken to produce a good and the standard hours expected, multiplied by the variable overhead rate.