Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Answer: 
Step-by-step explanation:
1. To solve this problem you must use the following formula for calculate the volume of a right circular cylinder, which is shown below:
Where r is the radius and h is the height.
2. Now, you must substitute the values given in the problem. Therefore, you obtain the following result:
I would say that the unfinished puzzle has more than one piece and the missing piece is only one, itself.
Answer:
550km/h
Step-by-step explanation:
v (speed) = d/t
v = 1375/2.5
v =550
The answer is 50/50. The either child is a boy or a girl. 50/50 chance
