Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
Answer:
4
Step-by-step explanation:
<u>24÷(-4</u>)+(-2)·(-5)
-6+<u>(-2)·(-5)</u>
<u>-6+10</u>
4
You just multiply the top and bottom numbers like it was two normal multiplication problems. Ex. 3/4x1/4=3/16 (3x1,4x4) But its different because you have to put them together to make a fraction (3/16).
Answer:
m = 8 Please brainliest!
Step-by-step explanation:
Simplifying
7m + -6m = 8
Combine like terms: 7m + -6m = 1m
1m = 8
Solving
1m = 8
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Divide each side by '1'.
m = 8
Simplifying
m = 8
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.