- 1/2 + (3/4 X 4/9) =
2 answers:
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Answer:
50,000 tablets may be prepared from 30g of colchicine
Step-by-step explanation:
This problem can be solved as a rule of three problem.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First Step:
The first step is knowing how many g are in a tablet.
Each gram has 1,000,000 mcg. So:
1g - 1,000,000 mcg
xg - 600 mcg
1,000,000x = 600
Each tablet has 0.0006g
Final step:
How many tablets may be prepared from 30g of colchicine?
1 tablet - 0.0006g
x tablets - 30g
0.0006x = 30
x = 50,000
50,000 tablets may be prepared from 30g of colchicine
Answer:
See Below.
Step-by-step explanation:
We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.
Segments BO and CO bisects ∠ABC and ∠ACB.
And we want to prove that ΔBOC is an isosceles triangle.
Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.
And since ∠ABC = ∠ACB, this implies that:
∠ABO = ∠CBO =∠ACO = ∠BCO.
This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.
So, we know that:
∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:
Since ∠ABO =∠ACO, by substitution:
Subtracting ∠ABO from both sides produces:
So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.