Maximum Area = 100 m^2
In dealing with maxima and minima, we have to be familiar of the commonly used properties. In this case, if asked about the maximum area of rectangle given with the perimeter, the shape to be considered should be a square. A square is also a king of rectangle.
Perimeter = 40 m
Measure of each side of the square = 40/4
= 10m
Area of the square (maximum area of a rectangle) = 10*10
= 100 m^2
<span> sorry it's such a long answer 111.278928823</span>
The half life of the radioactive substance is 10.22 years.
<h3>What is Half Life ?</h3>
Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).
It is given that
y = ae⁻ᵇˣ
here a is the initial amount , y is the amount remaining after x years
a = 90mg at x =0
Value of y = 12.6 mg at x = 29 years
On substitution of value
12.6 = 90 e⁻²⁹ᵇ
0.14 = e⁻²⁹ᵇ
b = 0.0678
The equation is
Half life is when the concentration is reduced to half
On 1st half life , the concentration = 90/2 = 45 mg
x = 10.22 years
Therefore the half life of the radioactive substance is 10.22 years.
To know more about Half Life
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Answer:
2: 45 3: 45 4: 135 5: 135 6: 45 7: 45
Step-by-step explanation:
they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle
The BEST estimate for the capacity of a bath tub is option B)-50 gallons
50 fluid ounces is a very smaller unit so it cannot be true.
50 cups is also small as compared to a standard bath tub that can hold almost 60-80 gallons of water.
50 pints is almost 6.25 gallons which is also very less amount of water as compared to the bath tub.
Hence, option B is correct estimate.
