Answer:
Step-by-step explanation:
answer is -3 because tan^2 theta-sec^2 theta means -1 and when u multiply -1 and 3 u will get -3.
Answer:
Rise over Run
Step-by-step explanation:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
Answer:
(0, 3)
Step-by-step explanation:
In slope intercept form, the y-intercept is the "b" or, in an example:
y = mx + b
- m is the slope
- b is the y-intercept
In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
<h2>
Answer:</h2>
![\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cfrac%7B25%7D%7B2%7D%28%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%29%2B65%7D)
<h2>
Explanation:</h2>
<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle
, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:
![\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})](https://tex.z-dn.net/?f=%5Coverline%7BBC%7D%3D%5Coverline%7BAB%7Dsin%2875%5E%7B%5Ccirc%7D%29%3D50sin%2875%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B25%7D%7B2%7D%28%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%29)
Finally, the height is:
![H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}](https://tex.z-dn.net/?f=H%3D%5Cfrac%7B25%7D%7B2%7D%28%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%29%2B15%2B50%20%5C%5C%20%5C%5C%20%5Cboxed%7BH%3D%5Cfrac%7B25%7D%7B2%7D%28%5Csqrt%7B6%7D%2B%5Csqrt%7B2%7D%29%2B65%7D)