Answer:
x = 24.99 or 25
Step-by-step explanation:
<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
<em>Now we can use tan to figure out the length of segment DC.</em>
tan(78.46) = z/√24
z = 23.99
<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>
1 + 23.99 = 24.99 or <u>about</u> 25.
He will mix some 20% solution and some 70% solution to make 60% solution.
Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.
He wants to make 50 liters of 60% solution, so
x + y = 50 First Equation
The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30 Second Equation
x + y = 50
0.2x + 0.7y = 30
-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
0.5y = 20
y = 40
x + y = 50
x + 40 = 50
x = 10
Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
Answer:
its 273 rounded but say 270
Step-by-step explanation:
Answer:
21:A 22:D
Step-by-step explanation:
hope that helps
