Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12
tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5
2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26
sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26
sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
Answer:
Step-by-step explanation:
It costs $7 for 1 baseball and Mrs.Weeks is buying 36 baseballs, that would be: $7 X 36 = $252
It costs $5 for 1 softball and Mrs.Weeks is buying 24 softballs that would be:
$5 X 24 = $120
$252 + $120 = $372 for the baseballs and softballs
Mrs.Weeks gives the cashier four $100 bills that is $400 dollars.
so $400 - $372 = $28 (Mrs.Weeks change)
If you expand the square, you have
Simplify the right hand side:
Cancel the -3x appearing on both sides:
Multiply both sides by 4:
Consider the square root of both terms (using the doubles sign):
3 x(4+4)= (3x4)+(3x4)
I am not completely sure, but I hope I helped!! (:
Answer:
8 hours 48 mins
Step-by-step explanation:
h m
5:15
+3:33
--------------
8:48
or
5 hours + 3 hours =8 hours,
15 mins + 33 mins = 48 mins
Therefore, it's 8 hours 48 mins.
