Answer:
tan2θ = 4√2/7
Step-by-step explanation:
Given sin theta=1/3 and 0 < theta< π/+
Required
tan 2 theta
tan2 theta = 2tanθ/1-tan²θ
Get tan θ
sinθ = opp/hyp
adj = √3²-1²²
adj = √9-1
adj = √8
tanθ = opp/adj = 1/2√2
tan2 theta = 2(1/2√2/1-(1/2√2)²
tan2θ = 1/√2/1-1/8
tan2θ = 1/√2/7/8
tan2θ = 8/7√2
Rationalize
tan2θ = 8√2/14
tan2θ = 4√2/7
Answer:

Step-by-step explanation:
Given


Required [Missing from the question]
G(T(x))
We have:

This implies that:

Substitute: 
![G(T(x)) = 3[9(x + 6.9)]](https://tex.z-dn.net/?f=G%28T%28x%29%29%20%3D%203%5B9%28x%20%2B%206.9%29%5D)
Open bracket

Get total lengths by multiplying:
10 x 12.6 = 126
6 x 16.1 = 96.6
Add the total lengths together and divide by 16:
126 + 96.6 = 222.6
222.6 / 16 = 13.9125
Rounded to 2 decimal places = 13.91
answer: 13.91
The domain of the function is (-1,0,1,2,3,4,5)
for the graph the domain is (-∞,<span>∞</span>)
Factor out the GCF first
3(2x² - x - 10)
3(2x - 5)(x + 2)