Amaya is asked to find the side lengths of the triangle shown below. What is her error?
1 answer:
Answer:
<em>Her error was that she equated 2x to 6 instead of equating 2x to 3x-5</em>
Step-by-step explanation:
Find the diagram of the question attached.
According to the triangle given, you can see that the base angles are equal. This shows that the triangle is an isosceles triangle. If the base angles are the same, this means that the length of the slant sides are also equal i.e
2x = 3x-5
Get x first;
2x = 3x-5
2x - 3x = -5
-x = -5
x = 5
Get the side length
For side length 2x, the length is 2(5) = 10
For side length 3x-5, the length is 3(5) - 5 = 10.
Hence the length of the sides is 10
<em>Amaya is wrong because she equated the wrong sides. She equated 2x to 6 instead of equating 2x to 3x-5 as shown in the calculation above.</em>
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The mass of radioactive material remaining after 50 years would be 48.79 kilograms
<h3>How to determine the amount</h3>It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.
Given the radioactive decay formula as
m(t)=120e−0.018t
Where
t= 50 years
m(t) is the remaining amount
Substitute the value of t
Find the exponential value
m(t) = 48.788399
m(t) = 48.79 kilograms to 2 decimal places
Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms
Learn more about half-life here:
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