Answer:
89 milliliters liquid was in the container before George added more .
Step-by-step explanation:
Let us assume that the liquid was in the container before George added more be x .
As given
George's container was partially full.
Then he added 177 milliliters more liquid to the container.
Now the container has a total of 266 milliliters of liquid.
Than the equation becomes
liquid was in the container before George added more + liquid added = Total liquid in the container
Putting all the values in the above
x + 177 = 266
x = 266 - 177
x = 89 milliliters
Therefore 89 milliliters liquid was in the container before George added more .
Answer:
*Note c could be written as a/b
Step-by-step explanation:
-sin(-t - 8 π) + cos(-t - 2 π) + tan(-t - 5 π)
The identities I'm about to apply:
Let's apply the difference identities to all three terms:
![-[\sin(-t)\cos(8\pi)+\cos(-t)\sin(8\pi)]+[\cos(-t)\cos(2\pi)+\sin(-t)\sin(2\pi)]+\frac{\tan(-t)-\tan(5\pi)}{1+\tan(-t)\tan(5\pi)}](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%5Ccos%288%5Cpi%29%2B%5Ccos%28-t%29%5Csin%288%5Cpi%29%5D%2B%5B%5Ccos%28-t%29%5Ccos%282%5Cpi%29%2B%5Csin%28-t%29%5Csin%282%5Cpi%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29-%5Ctan%285%5Cpi%29%7D%7B1%2B%5Ctan%28-t%29%5Ctan%285%5Cpi%29%7D)
We are about to use that cos(even*pi) is 1 and sin(even*pi) is 0 so tan(odd*pi)=0:
![-[\sin(-t)(1)+\cos(-t)(0)]+[\cos(-t)(1)+\sin(-t)(0)]+\frac{\tan(-t)-0}{1+\tan(-t)(0)](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%281%29%2B%5Ccos%28-t%29%280%29%5D%2B%5B%5Ccos%28-t%29%281%29%2B%5Csin%28-t%29%280%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29-0%7D%7B1%2B%5Ctan%28-t%29%280%29)
Cleaning up the algebra:
![-[\sin(-t)]+[\cos(-t)]+\frac{\tan(-t)}{1}](https://tex.z-dn.net/?f=-%5B%5Csin%28-t%29%5D%2B%5B%5Ccos%28-t%29%5D%2B%5Cfrac%7B%5Ctan%28-t%29%7D%7B1%7D)
Cleaning up more algebra:
Applying that sine and tangent is odd while cosine is even. That is,
sin(-x)=-sin(x) and tan(-x)=-tan(x) while cos(-x)=cos(x):
Making the substitution the problem wanted us to:
Just for fun you could have wrote c as a/b too since tangent=sine/cosine.
Answer:
y =(t-r)/s
Step-by-step explanation:
r + sy = t
Subtract r from both the sides,
sy = t - r
Divide both the sides by s,
y = (t - r) / s
Answer:
B. A jug of milk
Step-by-step explanation:
Hope this helps you :)
The fraction 1/3 means 1 out of 3 equally divided parts, so 12 needs to be equally divided into 3 groups. Have students divide the 12 stars into 3 equal groups. Each of the 3 equally divided groups is 1/3 of the total. Thus, 1/3 of 12 is the number in 1group, or 4.
