Answer:
Step-by-step explanation:
the question is asking for the length of the side labeled x
use Pythagoras' theorem to find that side
where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem
c = ![\sqrt{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)
sooo plug in a = 14 and b = 10
c = ![\sqrt{14^{2} + 10^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B14%5E%7B2%7D%20%2B%2010%5E%7B2%7D%20%7D)
c = ![\sqrt{196+100}](https://tex.z-dn.net/?f=%5Csqrt%7B196%2B100%7D)
c = ![\sqrt{296}](https://tex.z-dn.net/?f=%5Csqrt%7B296%7D)
c= 17.20465..... ( that's the approx. length of side x in the problem )
since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.
Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...
Cos(Ф)=10/17.20465
Ф = arcCos(10/17.20465)
Ф = 54.4623° is the angle on the side with 10
the side with 14 then has an angle of 35.5376°
:)
Answer:
rate of change
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
in an equation in y=MX+b form
the slope is m so it's 3