Hi, thank you for posting your question here at Brainly.
This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,
b^2 = a^2 + c^2 - 2accosB. Substituting,
24^2 = 7^2 + 25^2 - 2(7)(25)cosB
Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
Answer:
3(6+4) ._. hope this helps
Answer:
x-intercept (4,0)
y-intercept (0,10)
Step-by-step explanation:
