Step-by-step explanation:
the easiest approach seems to be the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.
10/sin(90) = 10/1 = 10 = y/sin(37)
y = 10×sin(37) = 6.018150232 ≈ 6.0
Answer:
X= 50°
Y= 70°
Z= 30°
BDE= 30°
2BDE= 60°
Step-by-step explanation:
(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)
2x -70 = BDE... alternate angles
Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)
X-20 = z ... alternate and opposite angles
(2x -70 )+z+(2x-+20)=180
2x-70 + x-20 +2x +20= 180
5x -70= 180
5x = 250
X= 50°
X-20 = z
50-20= z
30° = z
2x -70 = BDE
2(50) -70 = BDE
100-70 = BDE
30°= BDE
Y + (2x-70)+(50+x-20)
Y + 100-70 +50 +50 -20 = 180
Y + 200-90=180
Y= 70°
2BDE = 2*30
2BDE= 60°
Answer:
18
Step-by-step explanation:
6 2 1 How many ways does this produce and are they legitimate?
- 6 2 1
- 6 1 2
- 2 6 1
- 2 1 6
- 1 2 6
- 1 6 2
So any combination that you come up with, will produce 6 variations within those three choices. They are legitimate.
Lets see what you get with at most 5 estates to one person
5 3 1 Which will also give 6 variations. There are no other ways to make 5
4 3 2 Which will give 6 variations
I don't think there are any more possible choices.
Are the only 3 ways the estates can be split given the rules. Each choice leads to 6 other choices. The total is 18
Answer:
a) How much work has he done = dW = 1.3 × 105 J
b) What is the magnitude of the heat that he has lost = dQ = -5.4 × 105 J
Step-by-step explanation:
- From the first law of thermodynamics; dQ = dU + dW
Hence, work done dW = dQ - dU
dW = -6.7 × 105 J - ( -8.0 × 105 J)
dW = 1.3 × 105 J is the work done by the player
- for heat lost; from dQ = dW + dU
- dU = -8.0 × 105 J and dW = 2.6 × 105 J
- heat lost dQ = 2.6 × 105 J + ( -8.0 × 105 J)
- The negative is as a result of heat lost by the player
