a box with a square base and a top is to be constructed from 10 square meters of material. find the dimensions which will maximi
1 answer:
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To solve this we are going to use the half life equation 
Where:
is the initial sample
is the time in years
is the half life of the substance
is the remainder quantity after years
From the problem we know that:
Lets replace those values in our equation to find:
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.
Where:
From the problem we know that:
Lets replace those values in our equation to find
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.
Answer: sin = ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A = & cos a=
,thus we get
sin =±
∴ sin =±
= ±
since ,360° < <450°
,180° < <225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!