Answer:
<em>See explanation</em>
Explanation:
Given
Represent the vertical angle with 

The question has incomplete details because the length of the ladder is not given; neither is the distance between the ladder and the wall given.
<em>See attachment for illustration</em>
So, this solution will be based on assumptions.
Represent
- The height from ground to the top of the ladder with y
- The length of the ladder with L
- The distance between the ladder and the wall with x
Carla could solve for y in any of the following ways:
1. Tan formula

In this case:

Multiply both sides by y


Divide both sides by tan


This can be used if the distance (x) between the ladder and the wall is known.
Assume x = 15


2. Cosine formula

In this case:

Multiply both sides by L




This can be used if the length (L) of the ladder is known.
Assume L = 15


C) gravity because gravity compresses the start into the most compact shape possible
Answer:
The current amount of the Potassium-40 sample is approximately 37.521 grams.
Explanation:
The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time (
), in grams, is described below:
(1)
Where:
- Initial mass, in grams.
- Time, in years.
- Time constant, in years.
The time constant can be found from half life (
), in years, described in statement:
(2)
If we know that
,
and
, then the current amount of the sample is:




The current amount of the Potassium-40 sample is approximately 37.521 grams.
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