Answer:
The measure of angle A = 65°
Step-by-step explanation:
The sum of opposite angles of cyclic quadrilateral is 180°
From the figure we can see that,quadrilateral ABCD is inscribed in a circle.
<u>To find the value of x</u>
m<B + m<D = 180°
x + 148 = 180
x = 180 - 148 = 32°
<u>To find the value of angle A</u>
m<A = 2x + 1
x = 32
m<A = 2*32 + 1 = 64 + 1 = 65°
Therefore the measure of angle A = 65°
For this case we have the following functions:
f (x) = 4x ^ 2 + 12
g (x) = x - 1
Multiplying the functions we have:
(f ⋅ g) (x) = f (x) * g (x)
(f ⋅ g) (x) = (4x ^ 2 + 12) * (x - 1)
Evaluating for x = 3 we have:
(f ⋅ g) (3) = (4 (3) ^ 2 + 12) * (3 - 1)
(f ⋅ g) (3) = (4 (9) + 12) * (2)
(f ⋅ g) (3) = (36 + 12) * (2)
(f ⋅ g) (3) = (48) * (2)
(f ⋅ g) (3) = 96
Answer:
(f ⋅ g) (3) = 96
Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649
Answer:
600 volts
Step-by-step explanation:
Given =
A = 12 ampere
V = 480 volts
A2 = 15 ampere
Solution =
R = V/I
= 480 / 12
= 40 ohms
R = V / I
V = R x I
= 40 x 15
= 600 volts
Answer:
Step-by-step explanation:
Day 1 = 6
Day 2 = 5
Day 3 = 5
Day 4 = 6