I have a similar problem here that has a slightly different change in values:
<span>If an airplane flies 100 miles due north, then turns and flies 100 miles directly northeast, how far is it then from the original starting point, to the nearest mile?
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The solution is as follows:
The best way to do this is to break the question into parts. First the due north, then the northeast. Do them separately and then add them together.
<span>Assume the plane starts at the origin of a graph. Flying due north 100 miles the plane will be sitting at (0, 100). </span>
<span>Start again from the origin. Flying 100 miles directly northeast, the plane is travelling at a 45 degree angle to the x or y axis. Using trig we can calculate the distance travelled up along the y-axis and across the x-axis. </span>
<span>Drawing out the triangle you'll see that to find the distance across the x-axis you need to find the adjacent, and you're given the hypotenuse and an angle. This means you need to use Cosine. </span>
<span>Cos(theta) = adjacent/hypotenuse. </span>
<span>Rearrange you get hypotenuse * Cos(theta) = adjacent. </span>
<span>100 * Cos(45) = 70.71 units along the x-axis. </span>
<span>Similarly you will find that the plane also travelled 70.71 units up the y-axis. (turn the graph sideways, again you need to find the adjacent) </span>
<span>You can check that this is right by substituting into the pythagorean theorem </span>
<span>a^2 + b^2 = c^2 </span>
<span>70.71^2 + 70.71^2 = 100^2 </span>
<span>Now you can add these coordinates together with the coordinates from part 1. (0,100) + (70.71, 70.71) = (70.71, 170.71) </span>
<span>Now we can use the pythagorean theorem again to find the straight line distance. </span>
<span>70.71^2 + 170.71^2 = c^2 </span>
<span>34141.8082 = c^2 </span>
<span>sqrt(34141.8082) = c </span>
<span>c = 184.78 = 185 miles
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I hope that by examining the solution, it could help you answer the problem on your own.
Example problem circuit with a pair of parallel resitiors in series with another resistors. Figure 2 solution. We start by simplifying the parallel l...
Answer:
Weight of the woman in Newton
Mass of the woman in slug
Mass of the woman in kg
My weight in Newton
Explanation:
From the question we are told that
The weight of the woman in pounds is
Converting to Newton
1 N = 0.22472 lb
x N = 157
=>
=>
Obtaining the mass in slug
Here
So
Obtaining the mass in kilogram
Here
So
Generally weight is mathematically represented as
Given that my mass is 80 kg then my weight is
Answer: it can be considered a genetic mutation with a history of a Golden Retriever in their blood but it is very rare. and there our some black retrievers you can buy too. i hope i helped
Explanation:
Explanation and answer:
This problem is best answered by drawing a figure as a first step.
ABC is the scaffold.
A downward force of 500N is applied downwards at 1m from end A.
The weight of 800N is exerted by the scaffold uniformly distributed between A & C.
At A and C, ropes are attached to support the load.
Let Fc=tension in rope passing through C.
Take moments about A:
Fc = (500N * 1m +800N*(3+1)/2m / 4m
= (500 Nm + 1600Nm) / 4m
= 2100 Nm / 4m
= 525 N