Answer:
64/3 tablespoons of sugar for 32 ounces of water
Step-by-step explanation:
In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.
Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.
Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.
Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.
It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.
2/3 tablespoon of sugar for 1 ounce of water
Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water
The second condition tells you that

is half the size of

, so

, which could be rewritten in several ways. In standard form, that would be

.
You have to give more explanation
Answer:
9.7
Step-by-step explanation:
tan=opposite/adjacent
tan=9/adjacent
tan 43=9/x
x tan 43=9
0.9325x=9
0.9325x/0.9325=9/0.9325
=9.65
hence;
x=9.7
Answer:
C
Step-by-step explanation:
(x,y) = p + t(a)
(x,y) = (-1,6) + t(3,-1)
(x,y) - (-1,6) = t(3,-1)
(x + 1, y - 6) = t(3, -1)