Given:
a + bi = 13 + 9i
Equate the real parts:
a = 13
Equate the imaginary parts:
b = 9
Answer:
a =13
b = 9
Length BC is opposite of angle A and AC is opposite of angle B.
<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>
<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
20/45 can be reduced to 4/9. That is the simplest form.
I assume the way it's written is like this
4x^2 - 8x + 4 - (2x^2 - 3x + 7)
If that's the case, just combine like terms.
Let's begin with 4x^2. It has the same components as the -2x^2 (remember, since it's being subtracted in the original equation, the number is negative.)
4x^2 - 2x^2 = 2x^2
Now -8x and 3x (be careful, sometimes there's a minus sign in and out of the parentheses, this makes the number positive again
-8x + 3x = -5x
And then 4 and -7
4 - 7 = -3
So the simplified version is finally:
2x^2 - 5x - 3
Hope this helped! If you need me to explain anything, don't be afraid to ask.
Answer:
He must work 34 hours
Step-by-step explanation:
187×20= 3740
3740÷110= 34
