ANSWER PLSSS!! Brian puts $2000 in the bank. He leaves it there for 2 years. The bank uses an interest rate of 4%. How much mone
1 answer:
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Answer:
The largest angle needed is .
Step-by-step explanation:
To determine the larges angle as required, let us apply the cosine rule.
=
+
- 2ab Cos C
Since in triangles, the longest side is opposite to the largest angle, then;
=
+
- 2(8 x 12) Cos θ
225 = 64 + 144 - 192 Cos θ
225 = 208 - 192 Cos θ
192 Cos θ = 208 -225
192 Cos θ = -17
Cos θ =
Cos θ = -0.08854
θ = -0.08854
= 95.07962
θ =
The largest angle needed is .
Answer: 54678 years
Step-by-step explanation:
This can be solved by the following equation:
(1)
Where:
is the quantity of atoms of carbon-14 left after time
is the initial quantity of atoms of C-14 in the mammal hide
is the rate constant for carbon-14 radioactive decay
is the time elapsed
On the other hand, has a relation with the half life
of the C-14, which is
:
(2)
Substituting (2) in (1):
(3)
Applying natural logarithm on both sides of the equation:
(4)
(5)
Isolating :
(6)
(7) This is the age of the mammal hide