Answer:
<h2>0</h2>
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
Probability is chance of occurrence.
It is observed that out of 108 trials, there were 9 successes i.e 9 times landing on the green section.
P(green) = 9/108
= 1/12
Answer:
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
It's required to solve it for a.
Swap sides to have the letter on the left side:
Divide by 
:
Answer:
- sin(4a) = -24/25
- cos(4a) = 7/25
Step-by-step explanation:
Your calculator can tell you these values:
sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25
cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25
_____
Some useful trig identities are ...
sin(2a) = 2tan(a)/(1 +tan(a)^2)
cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)
Filling in the given value for tan(a), we find ...
sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5
cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5
Now, double-angle formulas are useful:
sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25
cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25
The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.
Answer:
The equation is 8 x 13 = 104
