x = liters of 20% solution
Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.
We want the concentration of the new mixture to be 80%, so we require
Solve for x:
So you will need 30 L of the 20% solution.
Perimeter: 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
Hope this will help you!
25 is .0333% of 750
•25/750 = .03
750 is 3000% of 25
•3000% = 30
Answer:
2.2
Step-by-step explanation:
To find a, you use a formula called the law of cosines:
The law of cosines tells us:
a^2 = b^2 + c^2 - 2bc cosA
So lets plug in the values:
a^2 = 4^2 + 3^2 -2(4)(3)cos(32)
a^2 = 25-24cos32
a^2 is roughly equal to 4.97
therefore a roughly equal to 2.2
Hey there! :)
Answer:
d ≈ 3.49 units
Step-by-step explanation:
Use the distance formula for polar coordinates to determine the distance:
(The '0' is supposed to be theta)
Plug in the values given in the question. Convert radians to degrees to simplify the process.
217π/180 = 217°
-23π/36 = -115°.
Therefore:
Begin simplifying:
Solve:
d ≈ 3.49 units
