At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaini
2 answers:
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Answer:
(a)In the attachment
(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.
Step-by-step explanation:
(a)In the attachment
(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)
First, let us determine length of line RM.
Using Pythagoras theorem
The Speed limit on the Road is 60 km/h and 110 km/h on the highway.
Time Taken = Distance/Time
Time taken on the road
Time taken on the highway
Total time taken to travel, T
Minimum time taken occurs when the derivative of T equals 0.
Square both sides
The road should be built such that it joins the highway at 19.52km from the point P.
In fact,
Answer:
Step-by-step explanation:
Use the following rules for exponents:
Simplify 24. Find two factors of 24, one of which should be a perfect cube:
Insert:
Now split the exponents. Split 10 into as many 3's as possible:
Insert as exponents:
Split 6 into as many 3's as possible:
Insert as exponents:
Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):
Simplify:
:Done