Answer:black
Step-by-step explanation:
Answer:
The cabin is located 567 yards away.
Step-by-step solution:
The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.
Apply the tangent function:
Opposite side length: 220 yards
Adjacent side length: x (distance to cabin)
tan(21.2°) = opposite / adjacent
tan(21.2°) = 220 yards / x
Multiply both sides by x:
x × tan(21.2°) = 220 yards
Isolate x:
x = 220 yards / tan(21.2°)
x = 220 / 0.388
x = 567 yards
Hence, the cabin is 567 yards away.
Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer:
13%
Detailed breakdown:
Information provided:
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
Applying the discount:
- 2080 - d% = 2080*(1 - 0.01d)
Including VAT:
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
Solving this quadratic equation yields:
Therefore
