Answer:
21 degrees
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
We use the equation for the percentage of solute concentration in a solution:
(1)
In this case the equiation (1) is transformed into:
(2)
n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.
Vpo = Initial volume of the magic potion = 2000ml
Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml
Vb= Volume of a bottle = 25ml
Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml
Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n
Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n
Replacing in (2):





Since the number of times the wand should be waved must be an integer, it approximates 8
Replacing n=8 in (1)

Answer:
<h2>A = 22.6°</h2><h2>B = 67.4°</h2>
Step-by-step explanation:
Trigonometry:

Use Sine when you have the Opposite and the Hypotenuse.
Use Cos when you have the Adjacent and the Hypotenuse.
Use Tan when you have the Opposite and the Adjacent.
The Opposite is opposite the angle.
The Adjacent is next to the angle
The Hypotenuse is opposite the right angle.
<u>Angle A:</u>
Use Tan when you have the Opposite and the Adjacent.
Tan-1
= 22.6198... ~ 22.6°
<u></u>
<u>Angle B:</u>
Use Tan when you have the Opposite and the Adjacent
Tan-1
= 67.380... ~ 67.4°
22.6° + 67.4° + 90° = 180°
Answer: 2000
Step-by-step explanation: