The slope is 2/3 because 3 - 1 = 2 and 0 - -3 = 3
Answer:
AC=18
Step-by-step explanation:
To find AC, use the Pythagorean Theorem. Since the longest side (hypotenuse) is known, instead of a²+b²=c², the equation will be c²-a²=b². 12²-8²=b²
144-64=b²
80=b²
√80=√b²
8.94427191=b
That is for one of the two right triangles that make up the tent. Since there are 2 triangles, 8.94427191 only equals BC or AB. So, multiply 8.94427191×2=17.88854382 to find the length of AC.
AC= 18
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
Each dive goes further down, so it represents -50 ft (not positive which would represnt going up).
y= -125-50x
We know that there are 3 dives so plug that in for x
y= -125-50(3)
y= -125-150
y= -275
Final answer: -275 ft
