Answer:
sinx = √2/3
Step-by-step explanation:
cos2x = 1-2sin²x
5/9 = 1-2sin²x
2sin²x =1-5/9
2sin²x = 4/9
sin²x = (4/9)/2
sin²x = (4/9)*(1/2)
sin²x = 2/9
sinx = √2/3
Answer:
Step-by-step explanation:
Note that the distance from -5/7 to 6/7 is 6/7 - (-5/7) = 11/7.
So, if you take steps of 1/7 each, there are 10 steps between -5/7 = 11/7.
-4/7, -3/7, -2/7, ..., 5/7
Answer:
a. 47
b. 87
c. 127
Step-by-step explanation:
Assume a total of 4 exams ( first 3 plus a final)
Let final score be X,
Hence, average score = (85 + 71 + 77 + x) / 4 = (233 + x) / 4
a) to get a C, the average score must be 70
70 = (233 + x) / 4
(233 + x) = 70 (4) = 280
x = 280 - 233 = 47 (Ans)
b) to get a B, the average score must be 80
80 = (233 + x) / 4
(233 + x) = 80 (4) = 320
x = 320 - 233 = 87 (Ans)
c) to get a A, the average score must be 90
90 = (233 + x) / 4
(233 + x) = 90 (4) = 360
x = 360 - 233 = 127 (Ans)
Answer:3/4
Step-by-step explanation:60 minutes divided by 4 is 15. 3 15 minute increments is 45. 45 minutes is 3 /4 of an hour.