There are 30 days in June and only three of those days are multiples of 8 so you have the probability of 3 out of 30.
Answer:
15 feet, 7.5 square feet
Step-by-step explanation:
Perimeter = 6.5 + 2.5 + 6
= 15 feet
Area = ½ × 2.5 × 6
= 7.5 feet²
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
Answer: -6
Step-by-step explanation:
since they are both negative, they both will add up to be -6