Answer:
x =
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = = = ( cross- multiply )
2x = 13 ( divide both sides by 2 )
x =
Answer:
x = 0.256286, 89.7437
Step-by-step explanation:
Step 1: Write equation
102x + 11 = (x + 6)² - 2
Step 2: Solve for <em>x</em>
- Expand: 102x + 11 = x² + 12x + 36 - 2
- Combine like terms: 102x + 11 = x² + 12x + 34
- Subtract 11 on both sides: 102x = x² + 12x + 23
- Subtract 102x on both sides: 0 = x² - 90x + 23
- Quadratic Formula:
- Simplify: x = 0.256286, 89.7437