Step-by-step explanation:
The pendulum swings over an angle of 2×(2°30') or 5° so we need to convert this to radian measure first:
so the arc length is given by
Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
Answer:
for independent A and B, P(A|B) = P(A)
Step-by-step explanation:
The definition of conditional probability is ...
P(A|B) = P(A&B)/P(B)
When A and B are independent, ...
P(A&B) = P(A)·P(B)
so the conditional probability is ...
P(A|B) = (P(A)·P(B))/P(B) = P(A) . . . . . for independent A and B
In words, when A and B are independent, the probability of A given B is the same as the probability of A. That is, the probability of B has no effect on the probability of A.
Answer:
78.46020384
Step-by-step explanation:
A=C^2/4π
A= 31.4^2/4π
A
=
78.46020384
They are equivalent. combine like terms on the first one and 9x-4x+25 can be simplified to 5x+25.
