1/2 + x + 1/6 > = 1
First add the 2 fractions:
1/2 + 1/6 = 2/3
Now you have:
2/3 + x > =1
Subtract 2/3 from both sides:
x >= 1 - 2/3
X > = 1/3
Answer:
52/99
Step-by-step explanation:
idk i looked it up
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Answer:
x=5
Step-by-step explanation:
The right angle opposite is the hypotenuse
The 30° is the opposite
SohCahToa
Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)
10×sin(30)=5
