I don't know for a fact but I think k=1.125
1 - 1/2c = 6
1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)
-1/2c = 5 (next do the inverse operation)
c = 5 ÷ 1/2
c = -10
to check your answer substitute the value of c in the equation;
1- 1/2c = 6
1- 1/2(-10) = 6
1 + 5 = 6
6 =6
Answer:
OD = 9.375"
Step-by-step explanation:
We can draw a line from O to B to create a triangle.
Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.
Triangle ACB, we can use pythagorean theorem to figure out CB:
AC^2 + CB^2 = AB^2
15^2 + CB^2 = 17^2
225 + CB^2 = 289
CB^2 = 64
CB = 8
Now relating the corresponding sides, we can figure out OD:
![\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375](https://tex.z-dn.net/?f=%5Cfrac%7BOD%7D%7BDB%7D%3D%5Cfrac%7BAC%7D%7BCB%7D%5C%5C%5Cfrac%7BOD%7D%7B8-3%7D%3D%5Cfrac%7B15%7D%7B8%7D%5C%5C%5Cfrac%7BOD%7D%7B5%7D%3D%5Cfrac%7B15%7D%7B8%7D%5C%5C8OD%3D5%2A15%5C%5COD%3D%5Cfrac%7B5%2A15%7D%7B8%7D%5C%5COD%3D9.375)
You use pi times radius squared. Pi 15 squared=706.858 then take 706.858 and multiply it by the depth of 12. 706.858×12=8482.3 Cm squared. 8482.3 cm to liters is about 8.5 liters