Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x
Answer:
16.666% would be flawed.
Step-by-step explanation:
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 =

<u>First problem :</u>
probability to draw a red paper : 42/(42+18)=7/10
In 110 tries one can thus expect to draw 7/10*110=77 red papers
<u>Second problem :</u>
Since for 150 trials (which will give the least error) we have got 135 yellow balls, we can expect twice as much in 300=150*2 trials, which makes 270 yellow balls.
Its an isosceles triangle
angle B = 47
and triangleADB is congruent to triangle ADC
from here we can say that BD = DC
now AD is a median and also altitude
so from here we can say angle x = 90
now in triangle ADB
90+47+y=180(ANGLE SUM PROPERTY )
y= 43