Length of arc is equal to r * angle, where the angle is in radians. Seventy-five degrees in radians is equivalent to 75 * pi / 180 = 5pi/12.
Length of arc = r * angle = (2) * (5pi/12) = 5*pi/6 = 2.62 units.
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Answer:
1
Step-by-step explanation:
So for this type of problem we use the formula
with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be
in this case.) First, let's define which is which:
(3,2): ![x_{1}, y_{1}](https://tex.z-dn.net/?f=x_%7B1%7D%2C%20y_%7B1%7D)
(-2,-3): ![x_{2}, y_{2}](https://tex.z-dn.net/?f=x_%7B2%7D%2C%20y_%7B2%7D)
Now we need to replace the variables with their known values: ![m=\frac{-3-2}{-2-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3-2%7D%7B-2-3%7D)
Next, let's do the subtraction to simplify: ![m=\frac{-5}{-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-5%7D%7B-5%7D)
And we can complete the division (all fractions are division!) to simplify even further: ![m = 1](https://tex.z-dn.net/?f=m%20%3D%201)
Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.
Answer:
ok i will tell u
Step-by-step explanation:
Marks of Bobbie = x
Then, marks of Georgia
= 3 times marks of Bobbie
= 3 times m
= 3 × m
= 3m
<u>Corrected Question</u>
These are the given probabilities. The Venn diagram is also attached. are (A) P(A|C) = 2/3
(B) P(C|B) = 8/27
(C) P(A) = 31/59
(D) P(C) = 3/7
(E) P(B|A) = 13/27
Answer:
A and C
Step-by-step explanation:
![P(A|C)=\dfrac{P(A\cap C)}{P(C)}= \dfrac{14/59}{21/59}=\dfrac{14}{21}=\dfrac{2}{3}](https://tex.z-dn.net/?f=P%28A%7CC%29%3D%5Cdfrac%7BP%28A%5Ccap%20C%29%7D%7BP%28C%29%7D%3D%20%5Cdfrac%7B14%2F59%7D%7B21%2F59%7D%3D%5Cdfrac%7B14%7D%7B21%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
![P(C|B) =\dfrac{P(C\cap B)}{P(B)}= \dfrac{11/59}{27/59}=\dfrac{11}{27}\neq \dfrac{8}{27}\\\\P(A) = \dfrac{31}{59}\\\\P(C) =\dfrac{21}{59}\neq \dfrac{3}{7}\\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{13/59}{31/59}=\dfrac{13}{31}\neq\dfrac{13}{27}](https://tex.z-dn.net/?f=P%28C%7CB%29%20%3D%5Cdfrac%7BP%28C%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%20%5Cdfrac%7B11%2F59%7D%7B27%2F59%7D%3D%5Cdfrac%7B11%7D%7B27%7D%5Cneq%20%5Cdfrac%7B8%7D%7B27%7D%5C%5C%5C%5CP%28A%29%20%3D%20%5Cdfrac%7B31%7D%7B59%7D%5C%5C%5C%5CP%28C%29%20%3D%5Cdfrac%7B21%7D%7B59%7D%5Cneq%20%5Cdfrac%7B3%7D%7B7%7D%5C%5C%5C%5CP%28B%7CA%29%3D%5Cdfrac%7BP%28B%5Ccap%20A%29%7D%7BP%28A%29%7D%3D%20%5Cdfrac%7B13%2F59%7D%7B31%2F59%7D%3D%5Cdfrac%7B13%7D%7B31%7D%5Cneq%5Cdfrac%7B13%7D%7B27%7D)
From the above, only A and C are correct.