A) What is the radius of a circle that has an approximate circumference of 81.64 meters?
1 answer:
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For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
Learn more about the exponential decay here:
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Answer:
The building is 32 feet tall.
Step-by-step explanation:
Consider the figure drawn below representing the given scenario.
AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.
Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.
Therefore, or E is the midpoint of BC.
Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.
Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)
So,
Therefore, the building is 32 feet tall.
