Find the value of X (Gotta choose at least 2) x = 52 x = 2 x = 3 x = 33
2 answers:
Answer:
x = 3
Step-by-step explanation:
To solve this problem, we need to remember the exterior angle theorem. This theorem tells us that: "The exterior angle of a triangle is equal to the sum of the two opposite interior angles"
In the picture, we would have that the angle ∠QRT =∠RTS + ∠TSR
Substituting the values from the figure we get:
Thus, the value for x is 3
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Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
When t = 0, A(0) = 0 (since the forest floor is initially clear)
So, D = R - A =
when t = 0(at initial time), the initial value of D =