Answer:
X = 48.014%
Y = 51.986%
Step-by-step explanation:
Given
151 EU has a mass of 150.9196 amu
153 EU has a mass of 152.9209 amu
Calculating the relative abundance of the two EU isotopes.
First condition that must be satisfied is
X + Y = 100%;
X + Y = 1. ----- Equation 1
Second Condition is;
150.9196X + 152.9209Y = 151.96 ------ Equation 2
In Equation 1; make Y the subject of formula.
So, Y = 1 - X.
Substitute (1 - X) for Y in Equation 2
150.9196X + 152.9209(1 - X) = 151.96 ----Open bracket
150.9196X + 152.9209 - 152.9209X = 151.96 ---- Collect Like Terms
150.9196X - 152.9209X = 151.96 - 152.9209
−2.0013X = -0.9609
X = -0.9609/-2.0013
X = 0.480137910358267
X = 48.014% ----- Approximated
Y = 1 - X
Y = 1 - 48.014%
Y = 0.51986
Y = 51.986% ---- Approximated
Answer:
Take out the area of the full circle first:
A= pi r^2
A= 3^2 x pi
A= 28.274 cm3
Area of smaller cirlces:
A= pi r^2
A= 1^2 x pi
A= 3.14159
Multiply by 2 as 2 circles: 6.28318
Substract unshaded from shaded: 28.274-6.28318
Area of shaded is 21.99082 cm3
Step-by-step explanation:
Answer:
8x-3=5x+6
Step-by-step explanation:
8x-3=5x+6
3x=9
x=3
Yes 69 is less than a right angle. A right angle must be 90 lol
