A hiker walks 9.4 miles at an angle of 60° south of west. Find the west and south components of the walk. Round your answers to
the nearest tenth
2 answers:
Answer: The west components of the walk = 4.7 miles
The south components of the walk = 8.1 miles (Approx)
Step-by-step explanation:
Since, the A hiker walks 9.4 miles at an angle of 60° south of west.
Thus,by the below diagram,
The west components of the walk = 9.4 × cos 60° = 9.4 × 0.5 = 4.7 miles
And, the south components of the walk = 9.4 × sin 60° = 9.4 × √3/2 = 9.4 × 0.866025404 = 8.1406388 ≈ 8.1 miles
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Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )