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1 answer:
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The company charges $1.40 per mile.
Step-by-step explanation:
Given,
Cost of 6.5 miles ride = $12.00
Cost of 9 mile ride = $15.50
Let,
x be the cost per mile.
y be the pick up fee.
Total cost = Cost per mile*distance + pick up fee
According to statement;
6.5x+y=12.00 Eqn 1
9x+y=15.50 Eqn 2
Subtracting Eqn 1 from Eqn 2
Dividing both sides by 2.50
The company charges $1.40 per mile.
Keywords: distance, linear equation
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Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the AC = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².