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Vesnalui [34]
3 years ago
8

A ship heads due north for x miles, then turns 25° east of north and travels for another y miles. which expression represents th

e distance the ship is from the original starting point?
Mathematics
2 answers:
Rainbow [258]3 years ago
8 0
The distance of the ship from the point of the origin can be determined through the trigonometric functions derived from the given distances and the angle. 

If we are to draw the ship with the distances traveled in the Cartesian plane, the abscissa (x-coordinate) and the ordinate (y-coordinate) can be determined as follow:

In the second part of the journey, the angle between the x-axis and the ship should be 90-25° = 65°

x-coordinate = y(cos 65°) = 0.4226y
2nd part of y-coordinate = y(sin 65°) = 0.906y

The first part of the y-coordinate is given to be x. 

Thus, the expression that can be used to determine the ship's distance from the original point is,

<em>    d = sqrt ((0.4226y)² + (x+0.906y)²)</em>

Bumek [7]3 years ago
8 0
The first step to take is to draw a picture.  Acknowledging that the ship travels in a straight line (180 degrees), a turn of 25 degrees would result in 180-25 degrees, which is 155. Plug it into the equation:

z=√x²+y²-2(x)(y)·cosZ

√x²+y²-2(x)(y)·cos(155).


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  y = x +3

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The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i
vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when t > 0

Profit after t months:

P(t) = t^4 - 10t^3 + 28t^2 - 24t

0 months:

This is P(0). So

P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0

1 month:

This is P(1). So

P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5

2 months:

This is P(2). So

P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0

3 months:

This is P(3). So

P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9

4 months:

This is P(4). So

P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32

5 months:

This is P(5). So

P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45

6 months:

This is P(6). So

P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0

7 months:

This is `P(7). So

P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check brainly.com/question/24231879

8 0
3 years ago
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Answer:maybe

Step-by-step explanation:

To answer that we need to talk about parallel universes

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Answer:

She would be able to buy

4 Chicken Salads &

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Step-by-step explanation:

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ivanzaharov [21]

The Municipality we be able to set up 597 street name boards with R2 left in the budget.

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We would have a total of 597 street names on the budget with some amount left.

We can calculated this by multiplying 597 by 134 and then subtracting the value from R80,000

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Learn more on division of numbers here;

brainly.com/question/20301788

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