The second one most likely if gt means greater than
In this problem, there are 2 similar triangles: triangle FMN and triangle FGH.
Their ratio to each other is 1:2 which we know by the midpoints.
If they have a ratio of 1:2, line segment GH is the 2 times of line segment MN.
To find x:
Answer: a) 236 ml b) 94.4 %
Step-by-step explanation: a) in 44 % solution there is 0.44 · 25 ml = 11 ml.
Total volume of acid is 225 ml + 11 ml = 236 ml
b) vol-% of acid is 236 ml /(225 ml + 25 ml) · 100 % = 94.4 %
Answer:
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
Step-by-step explanation:
sin(4x) cos x − sin x cos(4x) = √2 / 2
Use angle difference formula.
sin(4x − x) = √2 / 2
sin(3x) = √2 / 2
3x = π/4 + 2kπ, 3π/4 + 2kπ
x = π/12 + 2kπ/3, π/4 + 2kπ/3
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
<span>To answer this question, you need to know the rules to move a number to the left or right side of the equal sign. To solve this, you need to move all the x into one side, and then move the number into another side. The calculation would look like this:
2(x – 3) + 5x = 5(2x + 6)
2x -6 +5x = 10x +30
2x+ 5x - 10x = 30 +6
-3x= 36
x= 36/-3= -12</span>
