Answer:
Jet= 420 mph Wind = 10mph
Step-by-step explanation:
The speed of the plane in a tailwind can be modeled by x+y where x is the speed of the plane and y is the speed of the wind. Dividing 1290 by 3 gets you the average speed of the jet in a tailwind, which is 430.
The speed of the plane in a headwind can be modeled by x-y where x is the speed of the plane and y is the speed of the wind. Dividing 1230 by 3 gets you the average speed of the jet in a tailwind, which is 410.
This can be modeled by a system of equations, where x+y=430 and x-y=410. Solving the equation you get x=420 and y=10.
So, the speed of the jet is 420 mph and the speed of the wind is 10 mph.
Let x be the length of third side.
12 + x > 13
x > 1-------------(1)
13 + x > 12
x > -1 ------------(2)
by combining (1) and (2)
we have x > -1
SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.
Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:
![\dfrac{EF}{AB}=\dfrac{900}{5}=180;](https://tex.z-dn.net/?f=%5Cdfrac%7BEF%7D%7BAB%7D%3D%5Cdfrac%7B900%7D%7B5%7D%3D180%3B)
![\dfrac{EG}{AC}=\dfrac{1800}{10}=180;](https://tex.z-dn.net/?f=%5Cdfrac%7BEG%7D%7BAC%7D%3D%5Cdfrac%7B1800%7D%7B10%7D%3D180%3B)
![\dfrac{GF}{CB}=\dfrac{1260}{7}=180.](https://tex.z-dn.net/?f=%5Cdfrac%7BGF%7D%7BCB%7D%3D%5Cdfrac%7B1260%7D%7B7%7D%3D180.)
This gives you that
![\dfrac{EF}{AB}=\dfrac{EG}{AC}=\dfrac{GF}{CB}=180.](https://tex.z-dn.net/?f=%5Cdfrac%7BEF%7D%7BAB%7D%3D%5Cdfrac%7BEG%7D%7BAC%7D%3D%5Cdfrac%7BGF%7D%7BCB%7D%3D180.)
By SSS theorem triangles ABC and EFG are similar with scale factor 180.
8000 + 300 + 70 + 4 + 0.2 + 0.01
Answer:
Cos Q = 16/65
Step-by-step explanation:
In this question, we have a triangle and we have the information above supplied. We are being tasked with getting the ratio of the cosine.
To do this, we shall be making reference to a diagrammatic representation of the information supplied. Please do check the attachment section for this.
Looking at this triangle, we can see that one of the angles measure 90, what this means is that what we are dealing with is a right-angled triangle.
Now to get the answer in the question, we have to define what is meant by the cosine. The cosine is a trigonometric ratio of the adjacent to the hypotenuse.
In this case, our adjacent is 16 while our hypotenuse is the longest side which is 65.
Hence, Cos Q = 16/65