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Angelina_Jolie [31]
2 years ago
15

What is the decimal of 100/200?

Mathematics
2 answers:
chubhunter [2.5K]2 years ago
8 0

Answer:

its .5 or 0.50

Step-by-step explanation:

Irina18 [472]2 years ago
7 0

Answer:

0.5

Step-by-step explanation:

100/200 simplifies to

= 1/2

= 0.5 (decimal)

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5/8 divided by 20 equals 0.03125

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Convert the mixed number to a decimal<br> 4 6/25<br><br> A.4.12<br> B.4.24<br> C.4.25<br> D.4.625
bixtya [17]
The correct answer is B.  4.25
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3 years ago
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

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Two fair dice are rolled. what is the probability that they sum to: even
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Total number of possible outcomes = 36

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Answer:

31 yrs

Step-by-step explanation:

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