Answer is C 113 here is an explanation
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
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
<h3>
What are ratios?</h3>
- A ratio in mathematics describes how many times one number contains another.
- For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six.
- Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
To find the higher ratio:
Given -
- Geometry class = a:b = 12:20 = 3:5
- Statistics class = a:b = 11:15
As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
Know more about ratios here:
brainly.com/question/2328454
#SPJ4
Both of the angles need to equal to 180 (since they are interior angles)
2x+76=180
2x=104
x=52
Hope this helps!! :)
r²h