2x-2y
I couldn’t tell if the first figure was a one or a L or i so I solved it as a 1
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
The answer is y^2 -2y-1 with a remainder of 4/y+1
The cooler measurement should be measured in cm cubed, because you are finding the volume, which is three dimensional. The volume of the figure is 180 cm cubed. If you multiply the width, length, and height of the top object you get 36. When you add that to the volume of the bottom one (144) you get 180 cm cubed.
To solve this question we will use two important formulas.
The first formula involves the calculation of the decay constant, 
which is to be found as:
where 
is the half life of Pb-210 which is given to be 22 years in the question.
Thus, 
Now, we will use the second formula which is called the function of decay formula and is given as:
where 
percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67
percentage of Pb-210 to start with, which is always 100% or 1.
Plugging in all these values in the decay formula we are supposed to find the time, 
.
Taking natural log on both sides we get:
years
Therefore the bone fragment is about 12.71 years old.
