Answer:
150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.
Answer:
1. 722.4
2. 12.96
3. 6610
4. 40.29
Step-by-step explanation:
hope this helps! :D
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The answer in centimetres is 250cm
Answer:
r = 10.72 cm
Step-by-step explanation:
h = 6 cm
Volume of cone = 722 cubic cm
![\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh%3D722%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7D%2A3.14%2Ar%5E%7B2%7D%2A6%3D722%5C%5C%5C%5Cr%5E%7B2%7D%3D%5Cfrac%7B722%2A3%7D%7B3.14%2A6%7D%5C%5C%5C%5Cr%5E%7B2%7D%3D114.97%5C%5C%5C%5Cr%20%3D%20%5Csqrt%7B114.97%7D%5C%5C%5C%5Cr%20%3D%2010.72)
Answer:
≈ 3.16 units
Step-by-step explanation:
To determine the distance between the two points, we need to use the distance formula. The distance formula states that;
![\sqrt{(x_{2} - x_{1})^{2} + (y_2 - y_1)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%20%28y_2%20-%20y_1%29%5E%7B2%7D%20%20%7D)
Given coordinates;
When we substitute the coordinates into the formula, we get;
When we simplify the root, we get;
![\implies \sqrt{[-1]^{2} + [-8 + 5]^{2} }](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%20%5B-8%20%2B%205%5D%5E%7B2%7D%20%20%7D)
![\implies \sqrt{[-1]^{2} + [-3]^{2} }](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%20%5B-3%5D%5E%7B2%7D%20%20%7D)
![\implies \sqrt{1 +9 }](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B1%20%2B9%20%7D)
units ≈ 3.16 units (Using calculator)
Therefore, the distance between the points is about 3.16 units.