Answer:
a. 135 is the correct answer
Step-by-step explanation:
Want to find out what the total degrees is of the octagon.
Octagon = 1080
Divide 1080 by 8
135 degrees per angle
Simplifying that expression will be
32m + 56mp = 8m (4 + 7p)
Answer:
4: no
5: yes
6: yes
Step-by-step explanation:
exponential functions are in the form f(x)=ab^x
Answer:
the answer is d e and fans f
For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
