Answer:
600 ml of pure water.
Step-by-step explanation:
To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:
600 x 0.3 = 180
15 = 180
100 = X
100 x 180/15 = X
18,000 / 15 = X
1,200 = X
1,200 - 600 = 600
Thus, 600 ml of pure water should be added to achieve a 15% solution.
Answer:
x=81.25, A=65, B=94, C=21
Step-by-step explanation:
corresponding angles of similar triangles are equal, hence angle measurements of A, B, and C. To solve for x, set up a ratio (60/48=x/65) and solve
9514 1404 393
Answer:
90
Step-by-step explanation:
10! = 10 × 9 × 8!
so 10!/8! = 10×9 = 90
__
The factorial of an integer is the product of that integer and all the positive integers less than it. So, 3! = 3×2×1, for example. 0! is defined as 1.
9514 1404 393
Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
