Answer:
Whichever side is opposite (across from) the 74 degree angle.
Step-by-step explanation:
Answer: I think the answer is b
Step-by-step explanation:
Answer:
10 liters.
Step-by-step explanation:
Let the volume of 2% acid be x liters.
Then the volume of the 8% solution will be (x + 30) liters.
Work in amounts of pure acid: amount of acid in the 10% solution = 30 * 0.1
= 3. So we have the equation:
0.02x + 3 = 0.08(x + 30)
0.08x - 0.02x = 3 - 0.08*30
0.06x = 0.6
x = 10
So the answer is 10 liter of the 2% solution.
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
It's -13/42. You've gotta calculate the product then subtract fractions