Which three statements are true of all matter?
1 answer:
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Answer:
4276.98 years
Explanation:
t = age of the sample in numbers of years
T = half life of the carbon-14 isotope = 5730 yrs
λ = decay constant of carbon-14
decay constant is given as
A₀ = activity of Carbon-14 in living plants
A = activity of Carbon-14 after time "t" = (0.596) A₀
Using the equation
t = 4276.98 years
(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
Form a right angled triangle with the distance between initial and final points as hypotenuse. The adjacent side will be the total distance travelled on x-direction and the opposite side will be the total distance travelled in y-direction.
Adjacent side = -
= 3.05 - ( - 3.6 )
Adjacent side = 6.65 km
Opposite side = -
= 5.9 - 3.25
Opposite side = 2.65 km
According to Pythagoras theorem,
=
+
=
+
Hypotenuse = √ ( 7.02 + 44.22 )
Hypotenuse = 7.16 km
sin θ = Opposite side / Hypotenuse
sin θ = 2.65 / 7.16
θ = ( 0.37 )
θ = 21.71°
This is the angle in which the hiker travelled from initial to final direction. The angle in which the hiker should travel to return to initial point with respect to east is
θ = 21.71° + 180°
θ = 201.71°
Therefore,
(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
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