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sukhopar [10]
3 years ago
5

What steps are take to create the following equation?

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

The answer is C

Hopes it Helps!

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Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe
lubasha [3.4K]

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

|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}

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  =\frac{\sqrt{30^2+x^2}}{60}

Time taken on the highway =\frac{50-x}{110}

Total time taken to travel, T =\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}

Minimum time taken occurs when the derivative of T equals 0.

T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\

Square both sides

12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

|RM|=\sqrt{30^2+19.52^2}=35.79km

4 0
3 years ago
8 is 40% of what number!<br> EXPLAIN please!! <br> Thank you!!
Nikolay [14]
1. Turn 40% into a decimal (0.40)
2. Multiply 8*0.40, which gets you 3.2 
The answer is 3.2!
6 0
3 years ago
1) prove that the circumcenter of an equilateral triangle is the same as its centroid i) calculate the length of the side of an
Juliette [100K]

Answer:

The complete explanation and solution is attached below:

Explanation:

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3 years ago
A number equivalent to 63.24
tankabanditka [31]
63.24 is equivalent to 63.240.
7 0
3 years ago
Read 2 more answers
Which is greater 1.831 or 1.381?​
Ivahew [28]

Answer:

1.831

OI JOSUKE

Step-by-step explanation:

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