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6. a right triangle has a percent grade of 30%. the slope of the triang…

Question

  1. a right triangle has a percent grade of 30%. the slope of the triangle in lowest terms would be______.

Explanation:

Step1: Recall the relationship between percent grade and slope

Percent grade \(=\frac{\text{rise}}{\text{run}}\times100\%\). Given percent grade \( = 30\%=\frac{30}{100}\).

Step2: Simplify the fraction

We simplify \(\frac{30}{100}\) by dividing both the numerator and the denominator by their greatest - common divisor. The GCD of 30 and 100 is 10. So \(\frac{30\div10}{100\div10}=\frac{3}{10}\).

Answer:

\(\frac{3}{10}\)