Answer:
use brainly points
Step-by-step explanation:
Answer:
x = 6
a = 18 ft
b = 36 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Factoring/Expanding
- Solving quadratics
<u>Trigonometry</u>
- Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Given: Right triangle
a = 3x
b = 6x
c = 40
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: (3x)² + (6x)² = 40²
- Evaluate: 9x² + 36x² = 1600
- Combine like terms: 45x² = 1600
- Isolate <em>x </em>term: x² = 320/9
- Isolate <em>x</em>: x = (±8√5)/3
- Evaluate: x = ±5.96285
Since it is not a quadrant triangle, we must use the positive value for <em>x</em>.
<u>Step 3: Find legs</u>
Leg a
- Define: 3x
- Substitute: 3(5.96285)
- Multiply: 17.8885
- Round: 18
Leg b
- Define: 6x
- Substitute: 6(5.96285)
- Multiply: 35.7771
- Round: 36
The first showing is from 2:30 to 4:55. The second showing is from 5:25 to ____. So, the first showing is 2 hours and 25 minutes. The second showing end time had to be around 7:50.