What is the value of y in this triangle? A ) 124° B ) 98° C ) 56° D ) 36°
2 answers:
Answer:
D. the value of y= in this triangle.
Step-by-step explanation:
In given triangle
one interior angle measure of given triangle =
II interior angle measure of given triangle=y
Exterior angle measure of the given triangle=
We know that exterior angle theorem
Exterior angle theorem: It states that the exterior angle formed when you extend the side of triangle and the exterior angle is equal to the sum of opposite interior angles.
Therefore, by exterior angle theorem
y=134-98
By subtraction property of equality
By simplification
Hence, the value of y= in this triangle.
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Answer:
The half-life of the radioactive substance is of 3.25 days.
Step-by-step explanation:
The amount of radioactive substance is proportional to the number of counts per minute:
This means that the amount is given by the following differential equation:
In which k is the decay rate.
The solution is:
In which Q(0) is the initial amount:
8000 counts per minute on a Geiger counter at a certain time
This means that
500 counts per minute 13 days later.
This means that . We use this to find k.
So
Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So
The half-life of the radioactive substance is of 3.25 days.