Answer: 57 in³
Step-by-step explanation:
1. You know that the volume (V) of gas a balloon can hold varies directly as the cube of its radius (r). Then, you can write the following expression:
Where k is the constant of proportionality.
2. You can calculate k as following:
3. Then, to calculate the cubic inches that must be released to reduce the radius down to 2 inches:
- Solve for the volume as following:
- Make the subtraction of the two volumes shown above. Then, the result is:
<span>A = hours for plan A
B = hours for plan B</span>
<span>Monday: 6A + 5B = 7
Tuesday: 2A + 3B = 3</span>
use elimination by multiplying the 2nd equation by 3.
Doing that we get 3(2A + 3B = 3) = 6A + 9B
= 9
<span>So the two equations are now:
6A + 9B = 9</span>
6A + 5B = 7
Subtract and we have 4B = 2
B = 2/4 = 1/2 of an hour
Now put 1/2 back into either equation to solve for A
<span>6A + 5(1/2) = 7
6A + 5/2 = 7
6A = 14/2 -5/2
6A = 9/2
divide by 6 to get A = 9/12 = ¾ hours</span>
<span>Plan A = 3/4 hour</span>
<span> Plan B = 1/2 hour</span>
it is 2041.2 because if you have alot of rulers for in. it will get you up to 2041.2
if im wrong correct me but have a blessed day/night =)
Supplementary angles are angles that add up to 180 degrees.