The sales tax is 6.25% from $100
<h3>we can make the below formulas with this information:</h3>
<h3>hope it helped you :-)</h3>
Answer: D. 44
Step-by-step explanation:
Here, we need to know the concept of trigonometry.
- Sine (sin) = Opposite/Hypotenuse = O/H
- Cosine (cos) = Adjacent/Hypotenuse = A/H
- Tangent (tan) = Oppostie/Adjacent = O/A
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Given
- The adjacent side of angle x and the hypotenuse.
- We are going to use Cosine.
<u>Solve</u>
cos (x) = 15/21
x = cos⁻¹ (15/21)
x ≈ 44
Hope this helps!! :)
Please let me know if you have any questions
<h3>
Answer: D) 6</h3>
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Explanation:
Direct proportion equations are in the form y = kx, for some constant k.
The k value is the constant of proportionality. Solving for k leads to k = y/x.
For each row in the table, divide the y value over the paired x value.
- Row1: k = y/x = 12/2 = 6
- Row2: k = y/x = 24/4 = 6
- Row3: k = y/x = 30/5 = 6
- Row4: k = y/x = 54/9 = 6
Each row leads to the same k value, so the constant of proportionality is 6.
The equation y = kx updates to y = 6x.
This line has slope 6 and y intercept 0.
All direct proportion equations go through the origin.
Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm
![~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}](https://tex.z-dn.net/?f=~~~~~~%5Ctextit%7Bvertical%20parabola%20vertex%20form%7D%20%5C%5C%5C%5C%20y%3Da%28x-%20h%29%5E2%2B%20k%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22a%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22a%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20h%28t%29%3D-16%28t%20~~%20-%20~~%20%5Cstackrel%7Bh%7D%7B5%7D%29%5E2~~%20%2B%20~~%5Cstackrel%7Bk%7D%7B116%7D~%5Chfill%20%5Cunderset%7Bmaximum~height%7D%7B%5Cstackrel%7Bvertex%7D%7B%285~~%2C~~%5Cunderset%7B%5Cuparrow%20%7D%7B116%7D%29%7D%7D)
