Answer:
1st option because those angles are a linear pair.
Answer:
Step-by-step explanation:
Given
Required
Evaluate when n = 12
Substitute 12 for n in
Simplify the fraction
Answer:
? = 125°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, thus
? = 125°
Answer:
circumference=50.24 cm
area=200.96 cm²
Step-by-step explanation:
r=16/2=8
circumference=2πr=2×3.14×8=50.24 cm
area=πr^2=3.14×8²=200.96 cm²
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
