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
I believe the answer is d y=x^3 i hope this helped
Answer:
june 4
Step-by-step explanation:
this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4
Answer:
The amount of time that Sarah sleeps is 6<x<8
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
A compound inequality (or combined inequality) is two or more inequalities joined with or and and.
When two inequalities are joined with and, they are often written as a double inequality.
You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:
8<x<10
If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:
6<x<8
<u><em>The amount of time that Sarah sleeps is 6<x<8</em></u>
Answer:
Step-by-step explanation:
fraction decimal percent
1/4 .25 25%
3/10 .30 30%
1/5 .20 20%
3/4 .75 75%
1/2 .5 50%
