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Olegator [25]
2 years ago
10

5. As two boats are coming to the end of a race, a top view of their positions is

Mathematics
1 answer:
Dafna1 [17]2 years ago
8 0

The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.

<h3>How do you know which boat will reach the finish line faster? </h3>

The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.

h = hypotenuse

  • Right Boat

Sen 22° =  \frac{110 m}{h}

h = \frac{110 m}{ Sin 22}

h = \frac{110 m}{0.37}

h = 297,29 m

  • Left boat

Sen 20° = \frac{100}{h}

h = \frac{|00 m}{ Sin 20}

h = \frac{100 m}{0.34}

h = 294,11 m

According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.

Learn more about triangles in: brainly.com/question/2269348

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AVprozaik [17]

Answer:  (x,y) = (-1, 1)

This means that x = -1 and y = 1

========================================================

Explanation:

The first equation says that y is the same as 2x+3

That allows us to substitute y for 2x+3 in the second equation like so:

2x+5y = 3

2x+5( y ) = 3

2x + 5(2x+3) = 3 .... y replaced with 2x+3

2x+10x+15 = 3

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12x = 3-15

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x = -12/12

x = -1

Then we'll substitute this into the first equation to find y

y = 2x+3

y = 2(-1) + 3 .... x replaced with -1

y = -2+3

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Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)

If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.

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2 years ago
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KATRIN_1 [288]

Answer:

the answer is -7

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6 0
2 years ago
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Please solve and show working for 13-((4/5)+(6/8))=
UNO [17]
<span>13-((4/5)+(6/8))
Make your fractions have common denominators 
</span>13-((32/40)+(30/40))
Add your fractions and simplify
13-(62/40)
or
13-(31/20)
or
13-(1 11/20)
Then turn 13 into a fraction with a common denominator! Im going to use the second fraction method (31/20)
13 written as a fraction is 13/1, its LCD with 31/20 is 20. I now multiply the top and bottom by 20
260/20
Now I rewrite the problem again
(260/20)-(31/20)
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229/20!
This is your unsimplified answer
Finally you simplify and get
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6 0
3 years ago
Consider the baggage check-in process of a small airline. Check-in data indicates that from 9am to 10am, 220 passengers checked
Lady bird [3.3K]

Answer:

3.6 minutes.

Step-by-step explanation:

According to the data given in the question, between 9 and 10 AM, 220 passengers have checked in which means that the check-in rate is 3.6 passengers per minute. If the average number of passengers waiting for check-in is 32 and if we assume that the check-in rate is constant throughout the day, then the average passenger had to wait in line for 3.6 minutes.

4 0
3 years ago
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Rudiy27

Answer:

A. NO

B.  NO

C. YES

D. YES

E. NO

F. NO

Step-by-step explanation:

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