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postnew [5]
3 years ago
9

A river is 500 meters wide and has a current of 1 kilometer per hour. if tom can swim at a rate of 2 kilometers per hour at what

angle to the shore should he swim if he wishes to cross the river to a point directly opposite bank
Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

63.44^{0}

Step-by-step explanation:

Tom's resultant speed is calculated as \sqrt{1^{2}+2^{2}  }

= \sqrt{5}

The distance tom swim is the hypotenuse of the right angle triangle.

sin = opposite/hypotenuse = \frac{1}{\sqrt{5} }  = 1/5 = 0.2

arcsin (0.2) = 26.56^{0}

upstream angle =

90^{0} - 26.56^{0} =

63.44^{0}

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11.27cm

Step-by-step explanation:

705% of 14milimeters

705/100 X 14 = 98.7

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Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's qua
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Aaron the car wash owner had 228 quarters and 120 dimes.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

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x = (0.9y) + y

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From both equations:

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Aaron the car wash owner had 228 quarters and 120 dimes.

Find out more on Equation at: brainly.com/question/13763238

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2 years ago
An open sentence that contains the symbol , or ≥ is called a(n)
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It is called an inequality.

hope this helps!

Step-by-step explanation:

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3 years ago
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What is the average speed of an object that travels 50 miles in 2 hours?
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A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each
Marysya12 [62]
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
4 0
3 years ago
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