Answer: 



Step-by-step explanation:
From the given figure it can be seen that
Total number on cube= n(S)=6
Intersection of A and B = n(A ∩ B)= 2
Therefore,

Also, The number of elements in A = 2
Therefore,

Similarly, The number of elements in B= 6
Therefore,

The formula to find the conditional probability is given by :-

Answer:
16
Step-by-step explanation:
the negative outside the parenthesis removes the negative that is with the 19 and it is going to be 19-3 which equal 16
Answer:
48°
Step-by-step explanation:
m∠x plus 132° equals 180°, so x equals 180 minus 132, or 48°.
Answer:
Step-by-step explanation:
1. Cos 52° = adj/hyp
Cos 52° = x/13
x = 13×cos 52°
x = 8.00
2. Sin70° = opp/hyp
Sin70° = 30/x
x sin70° = 30
x = 30/sin70°
x = 31.93
x ≈ 32
3. Tan∅ = opp/adj
Tan∅ = 45/51
Tan∅ = 0.8824
∅ = tan-¹(0.8824)
∅ = 41.42°
∅ ≈ 41°