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:
Let number of cans collected by Shane =S
Number of cans collected by Abha=S+178
As, it is given that ,Abha collected 178 more cans than Shane did.
Also, the statement about inequality is
Both Shane and Abha have to collect no less than 2000 cans for recycling.
Writing the statement in terms of inequality
S +S+178 ≥ 2000
2 S ≥ 2000 - 178
2 S ≥ 1822
Dividing both sides by 2, we get
S≥ 911
So, Shane must have collected At least 911 cans.
The Cube Root Of -343 is ( -7)
Answer:
r1= -3
r2= (11/2)
Step-by-step explanation:
5-4r=17
-4r=17-5
-4r=12
r=13
and
5-4r=-17
-4r=-22
r= 11/2
