An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear head to the nearest year.

The age of the spear head is of 1938 yers.

Step-by-step explanation:

The amount of carbon 14 after years is given by the following equation:

In which Q(0) is the initial amount and r is the decay rate.

The half life of carbon 14 is 5700 years.

This means that

So

So

We have to find:

t for which Q(t) = 0.79Q(0). So

Rounding to the nearest year.

The age of the spear head is of 1938 yers.

1

step-by-step explanation:

you are throwing one dart

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm