Answer: 4.00
Explanation
To find the maximum value for x, the hypotenuse, with a given of an angle 30° and a height of 2 m, we can see that 30° is directly opposite the side of 2 m, in which case we may use the sin of 30° to find the hypotenuse.
Remember that the sin = opposite/hypotenuse, so sin30° = 2/x
1) sin30 = 2/x
2) 1/2 = 2/x
3) x = 4
Hope this helps :)
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:
brainly.com/question/14355665
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Answer:
how do you find the circumference of a circle??
C=2πr
C=2πr