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
12.
Area of a triangle = (bh)/2
Counting the squares in the figure, the base (bottom) of the triangle looks to be about 8. The height looks like 5.
b = 8
h = 5
A = (8*5)/2
A = (40)/2
A = 20
So the closest answer would be
A. 21.5 square units
13.
Area of a trapezoid = [(b₁ + b₂)/2]h
b₁ = 3
b₂ = 9
h = 6
A = [(3 + 9)/2]6
A = [12/2]6
A = (6)6
A = 36
Since I can't see the answer choices, it would be the closest number to 36.
Answer:
he can get 12 bowls
Step-by-step explanation:
You have to divide 8% by 100% to get the answer but I rounded down
Answer:
5/9
Step-by-step explanation:
Experimental was what actually happened.
Theoretical was what should happen in a perfect, equal world.
E: 6/6 = 1
T: 4/9
E-T= 1-4/9=5/9
Hello!
You can distribute the -2
-2 * 5x = -10x
-2 * -0.75 = 1.5
The answer is -10x + 1.5
Hope this helps!