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: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
I=prt,,5.00=.0125*1212p,,p=5.00/.0125*1212=?? Use the calculator
Answer:
Volume of cone = (1/3) * Volume of cylinder
Step-by-step explanation:
Use the formulas
Volume of cone = (1/3)* π r^2 *h
Volume of cylinder = π r^2 *h
Therefore
Volume of cone = (1/3) * Volume of cylinder
So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!