Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let
denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and 
This implies
and 
As each circle has an arc where the measures of the corresponding central angles are the same, 

As radius of one circle is twice the radius of the other circle,


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
7-2=5
Ans: 5 bags are small.
Answer:
√37
Step-by-step explanation:
Ok so first, you need to figure out the change in elevation for each after one min. so we will write it as a ratio
10:-160 20:-300
So for the 10 min one, we will divide both sides by 10
1:-16 So the change in elevation per min. is -16
Now for the 20 one, we will divide by 20.
1: -15 So the change in elevation per min. is 15
So, the 10 min section of the walk the change of elevation was greater. Hope that helps! if you need me to explain something just ask!
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