Answer:
1/44×175 + (35 √(3))/44 about 5.3550404151116069380331959534705802918863223609855300450443919154... decimal
Explanation:
To solve this problem, we can use the formula:
time = distance/speed
Where time is the time taken to travel a given distance, distance is the distance traveled, and speed is the speed at which the object is moving.
In this case, the object is moving at a speed of (5-√3) mi/h and needs to travel a distance of 35 mi. Therefore, we have:
time = distance/speed
time = 35 / (5-√3)
To simplify this expression, we can multiply both the numerator and denominator by the conjugate of the denominator, which is (5+√3):
time = 35 / (5-√3) * (5+√3) / (5+√3)
time = 35 * (5+√3) / (25-3)
time = 35 * (5+√3) / 22
Now, we can simplify this expression by multiplying the numerator and denominator by 2:
time = 35 * (5+√3) / 22 * 2 / 2
time = 35 * (5+√3) / 44
Therefore, the object will take 35 * (5+√3) / 44 hours to travel 35 miles at a speed of (5-√3) mi/h.
Expand the following:
(35 (√(3) + 5))/44
35 (√(3) + 5) = 35×5 + 35 √(3):
((35×5 + 35 √(3)))/44
35×5 = 175:
(175 + 35 √(3))/44
(35 √(3) + 175)/44 = 1/44×175 + (35 √(3))/44:
Answer: 1/44×175 + (35 √(3))/44