First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.
To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90.
90 - 78 = 12
Answer:
The value of x at this instant is 3.
Step-by-step explanation:
Let
, we get an additional equation by implicit differentiation:
(1)
From the first equation we find that:
(2)
By applying (2) in (1), we get the resulting expression:
(3)
![\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B18%7D%7By%5E%7B2%7D%7D%20%5Ccdot%20%5Cfrac%7Bdy%7D%7Bdt%7D)
If we know that
and
, then the first derivative of x in time is:
![\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B18%7D%7B6%5E%7B2%7D%7D%20%5Ccdot%20%288%29)
From (1) we determine the value of x at this instant:
![x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}](https://tex.z-dn.net/?f=x%5Ccdot%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D%20-y%5Ccdot%20%5Cfrac%7Bdx%7D%7Bdt%7D)
![x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)](https://tex.z-dn.net/?f=x%20%3D%20-y%5Ccdot%20%5Cleft%28%5Cfrac%7B%5Cfrac%7Bdx%7D%7Bdt%7D%20%7D%7B%5Cfrac%7Bdy%7D%7Bdt%7D%20%7D%20%5Cright%29)
![x = -6\cdot \left(\frac{-4}{8} \right)](https://tex.z-dn.net/?f=x%20%3D%20-6%5Ccdot%20%5Cleft%28%5Cfrac%7B-4%7D%7B8%7D%20%5Cright%29)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
The value of x at this instant is 3.
Because like terms you add or subtract together to make it easier to do the problem. just like you do with whole numbers. you add an subtract to make the answer simpler.
Answer:
1. D. is Brand B
2. 60 mikes per hour
3. is 40 mins
4. is A. 3/20 u are multiplying
Step-by-step explanation: