Answer:
m∠C = 122°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means
m∠A + m∠C = 180°
m∠B + m∠D = 180°
To find angle C we need to find x, then subtract m∠A from 180°
x+20=3x
20=2x
x=10
Now we substitute 10 in for x
m∠A=2(10)+38
m∠A=20+38
m∠A=58°
Now we subtract this value from 180.
m∠C=180-58
m∠C=122°
Answer:
It is false that, if the national economy shrank at an annual rate of 9% per year for three consecutive years then the economy shrank by 27% over the 3-year period, because this percentage does not follow a linear path, but on the contrary, it is calculated exponentially: 9% of each year is calculated on the rest that remained after discounting 9% the previous year.
Thus, if the national economy has a value of 100, after three years it will not have a value of 79, but a value of 75.35, as it arises from the following calculation:
100 x 0.91 ^ 3 = X
100 x 0.753571 = X
75.35 = X
Answer:
0.200
Step-by-step explanation:
The probability of obtaining a 3, in one roll of a fair die is 1/6.
Now, we have 5 rolls.
We now want to know the probability of a 3 showing up in at least one of the rolls.
This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e.t.c
This means we can have 3 showing up to 5 times.
We add the probabilities as follows:
(1/6) + (1/6)^2 + (1/6)^3 + (1/6)^4 + (1/6)^5 = 0.199974 = 0.200
