Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
Because all angles adds up to 180 we are going to add the equations and equal it to 180.
5x - 3 + 4x - 7 + x = 180
5x + 4x + x - 3 - 7 = 180
10x - 10 = 180
10x = 180 + 10
10x / 10 = 190/10
x = 19 degrees
5x - 3
5(19) - 3 = 92 degrees
4x - 7
4(19) - 7 = 69 degrees
angle L = 92 degrees
angle M = 69 degrees
angle N = 19 degrees
Answer:
your answers will be
<E=25
M<F=65
M<G=90
Step-by-step explanation:
i hope it helps
have a nice day!!
<P = <S
<Q = <T
PQ = ST
both triangles are congruent by ASA
Answer
B. Congruent by ASA
