Set The Numbers On The Side Equal To The Equation. Use Inverse Operation And Divide Since The X Is Used In Multiplication.
Answer:
AB ≈ 14.3
Step-by-step explanation:
We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:
Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have
Substituting these values into the law of cosines:
Answer:
547.5 cm
Step-by-step explanation:
730(9/12)=547.5
Answer:
10 divided by 12 equals 0.833333333
Answer:
2,674.14 g
Step-by-step explanation:
Recall that the formula for radioactive decay is
N = N₀ e^(-λt)
where,
N is the amount left at time t
N₀ is the initial amount when t=0, (given as 42,784 g)
λ = coefficient of radioactive decay
= 0.693 ÷ Half Life
= 0.693 ÷ 18
= 0.0385
t = time elapsed (given as 72 years)
e = exponential constant ( approx 2.7183)
If we substitute these into our equation:
N = N₀ e^(-λt)
= (42,787) (2.7183)^[(-0.0385)(72)]
= (42,787) (2.7183)^(-2.7726)
= (42,787) (0.0625)
= 2,674.14 g
