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zloy xaker [14]
2 years ago
13

HELP ASAP PLEASE

Mathematics
2 answers:
Nonamiya [84]2 years ago
5 0

Answer:

The correct option is;

5.89°

Step-by-step explanation:

The speed with which the plane flies = 350 mph

The direction of flight of the plane = N 40° E

The speed with which the wind blows = 40 mph

The direction in which the wind blows = S 70° E

Therefore, we have;

The resolution of the components of the motion of the plane, given as follows;

S_{Plane} = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

S_{Wind} = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

R_{Plane} = 262.563·i + 254.435·j

The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E

Therefore, the plane's drift = Plane's Track - Plane's Heading  = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°

Therefore, the correct option is 5.89°.

Korvikt [17]2 years ago
5 0

Answer:

5.89

Step-by-step explanation:

so u don't have to look at that long one lol.

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x=67

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3 years ago
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve
Fed [463]

Answer: ( -0.731,  0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731,  0.682)

8 0
2 years ago
An animal reserve has 40,000 elk. The population increases 11% a year. How long tell the population is equal to 80,000. If someo
sukhopar [10]

Answer:

7 years (This answer is to the nearest year)

Step-by-step explanation:

The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)

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3 years ago
The graph shows the cost, C, of sending m text messages. What is the cost per message?
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Answer:

C.$0.15 I TOOK IT ON STUDY ISLAND

Step-by-step explanation:

First, you want to find an exact point on the graph.  What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.

Second, you want to figure out where this x and y value are.  Where the graph first goes through two points is at (20, 3).

Third, you want to figure out what the 20 and the 3 mean.  20 is the number of messages and 3 is the dollar amount.

Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20).  So, you have 3/20.  After this, simplify 3/20 to get 0.15, or 15 cents per message.

3 0
2 years ago
Work out the gradient of the line joining the points (2, 3) and (5,7)
Debora [2.8K]

Answer:

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (m_{PQ}), that is:

m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}} (1)

If we know that P(x,y) = (2,3) and Q(x,y) = (5,7), then the gradient of the line is:

m_{PQ} = \frac{7-3}{5-2}

m_{PQ} = \frac{4}{3}

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

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