Answer:
5 pi/12
Step-by-step explanation:
To change degrees to radians, multiply by pi/180
75* pi/180
divide the top and bottom by 15
5 pi/12
Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
Answer:
5 x 10 to the 6th power is 5,000,000
5 x 10 to the 4th power is 50,000
5,000,000 / 50,000 = 100
it is 100 times larger
Step-by-step explanation:
Answer:
The events are not mutually exclusive because the P(A and B)=0.1 not 0
Step-by-step explanation:
Mutual exclusive events are those that can't happen at the same time.For example Tossing a coin, Head and Tail are mutually exclusive events because you can't get a Head and a tail at the same time.Another example is turning left and turning right are mutually exclusive because you can't do both at the same time.
If events are mutually exclusive, they can happen at the same time.
Mathematically,the probability of mutual exclusive events follows;
P(A and B)=0 ------------The probability of A and B together equals 0
P(A or B) = P(A)+P(B)-----The probability of A or B equals the probability of A plus the probability of B.
In this question you are given;
P(A)=0.3
P(B)=0.6
P(A or B) =P(A) + P(B)= 0.3+0.6 =0.9
0.9≠0.8 thus the events are not mutually exclusive.
Sin x=24/29
Therefore x=sin^-1 24/29