Answer: plane xyn
Step-by-step explanation:
Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28
Answer:
Perpendicular (right angle)
Step-by-step explanation:
hope this helps!
Answer:
no
Step-by-step explanation:
Answer:
Prob (Arrive before 7.30) = 14 / 25 ; Prob (Arrive after 7.30) = 11 / 25
Step-by-step explanation:
Prob (Arrive before 7.30) = No. of days before 7.30 arrival / Total work days
= 28 / 50 = 14 / 25
Prob (Arrive after 7.30) = No. of days after 7.30 arrival / Total work days
= (50 - 28) / 50 = 22 / 50 = 11 / 25
or , 1 - Prob (Arrive before 7.30) = 1 - 14/25 = (25 - 11) / 25 = 11/ 25
