Answer: D
Step-by-step explanation:
By De Moivre's theorem, the argument will be 120 degrees, which is the same as the argument of 
.
This isn't the case for the other 3 options.
Answer:
B (Base surface area) = 16 
P (Perimeter of the base) = 16 m
H (Height) = 6 m
L (Not sure what L means. I assume it's the slant height??) = 6.32 m
LA (I assume lateral surface area) = 
SA (I assume total surface area) = 
V (volume) = 
Step-by-step explanation:
Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.
3/5 is equal to .60. 1/2 is .5, and 3/4 is .75.
Hence, .5 < .60 < .75.
Answer:
135 points
Step-by-step explanation:
We can solve this easily, 30x4=120+15=135
So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.
Answer:
sin(-255°) = √2 + √6/4
Step-by-step explanation:
We need to find sin -255°
We know that sin(-a) = - sin(a)
so, sin(-255°) = - sin 255°
We know that 180° + 75° = 255°
Now we can write sin(255°) = sin(180° + 75°)
We can use the identity:
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
x = 180° , y = 75°
Solving,
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)
sin(180°) = 0
cos(75°) = √6 -√2/4
cos(180°) = -1
sin( 75°) = √2 + √6/4
Putting values,
sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)
sin(180° + 75°) = -(√2 + √6/4)
We know that sin(-255°) = -sin(255°)
Putting value of sin(255°)
sin(-255°) = -(-(√2 + √6/4))
sin(-255°) = √2 + √6/4
