Situation: Find the age of the skull to the nearest year.
A hiker in Africa discovers a skull that
contains 63% of its original amount of C
14.
N = Noe
10
No = inital amount of C-14 (at time
t=0
N = amount of C++ at time
*+0.0001
t = time, in years

t = 6162  years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

If the skull contains 54% of its original amount of C14, then that means that :

we use this to solve for the time (t) in our equation:

which rounded to the nearest year as requested gives :

t = 6162  years

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft