Answer:
see explanation
Step-by-step explanation:
(a)
OC = OB ( both radii of the circle )
Thus Δ BOC is isosceles with congruent base angles.
∠ BOC = ∠ BCO = 50°
(b)
∠ ACB = 90° ( angle in a semicircle ), then
∠ ACO = 90° - 50° = 40°
OA = OC ( both radii of the circle )
Thus Δ ACO is isosceles with congruent base angles.
∠ BAC = ∠ ACO = 40°
Answer:
The limit of this function does not exist.
Step-by-step explanation:
To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if
and the limit does not exist if
Evaluate the one-sided limits.
The left-hand limit
The right-hand limit
Because the limits are not the same the limit does not exist.
Answer:
a)
b)
c)
d)
e) The intersection between the set A and B is the element c so then we have this:
Step-by-step explanation:
We have the following space provided:
With the following probabilities:
And we define the following events:
A= [a,b,c], B=[c,d,e]
For this case we can find the individual probabilities for A and B like this:
Determine:
a. P(A)
b. P(B)
c. P(A’)
From definition of complement we have this:
d. P(AUB)
Using the total law of probability we got:
For this case , so if we replace we got:
e. P(AnB)
The intersection between the set A and B is the element c so then we have this:
<span>Your answer would be 360 the sum of the exterior angles of any convex polygon is 360 degrees</span>