From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Divide 300 by 8 to find the unit rate
300/8= 37.5
He travels 37.5 miles per hour
If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4
37.5×4=150
In 4 hours he travels 150 miles
Answer:
-3x^2
Step-by-step explanation:
negative three x squared
Answer:
56
Step-by-step explanation:
1:8= 7:?
1*?=7
/1 /1
1*7=7
8*7=56
1:8 = 7:56
Answer:
Write in standard form.
3x+2y=8
Step-by-step explanation: