For every lawn Cambridge mows he earns 16.50 USD, knowing this we now know the unit rate. The unit rate is (1,16.50).
Answer:
Domain: {1, 2, 3, 4}
Range: {3, 6, 9, 12}
Step-by-step explanation:
In a function the domain represents the values of 'x' and the range represents the values of 'y'. For any given set of points, they are in the form of (x, y). So the domain would be the 'x' value in each point and the range is the 'y' value for each point:
Domain: {1, 2, 3, 4}
Range: {3, 6, 9, 12}
Answer:15625
Step-by-step explanation:
5^2 is 25
5^4 is 625
625*25 = 15625
Answer:
sin θ/2=5√26/26=0.196
Step-by-step explanation:
θ ∈(π,3π/2)
such that
θ/2 ∈(π/2,3π/4)
As a result,
0<sin θ/2<1, and
-1<cos θ/2<0
tan θ/2=sin θ/2/cos θ/2
such that
tan θ/2<0
Let
t=tan θ/2
t<0
By the double angle identity for tangents
2 tan θ/2/1-(tanθ /2)^2 = tanθ
2t/1-t^2=5/12
24t=5 - 5t^2
Solve this quadratic equation for t :
t1=1/5 and
t2= -5
Discard t1 because t is not smaller than 0
Let s= sin θ/2
0<s<1.
By the definition of tangents.
tan θ/2= sin θ/2/ cos θ/2
Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.
cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2
Solve for s.
s/-√1-s^2 = -5
s^2=25(1-s^2)
s=√25/26 = 5√26/26
Therefore
sin θ/2=5√26/26=0.196....
Domain: all the real numbers
Range: y ≤ 9/5
i hope u can see the attached graph! :)
