This is an increase and it increased by 40% because the difference between 140 and 100 is 40 which is 40% of 100.
Answer:
The solutions are 0° and 3π
Step-by-step explanation:
On solving the equation given;
![sin(\frac{3\pi}{2}+x )+ sin(\frac{3\pi}{2}+x ) = -2\\2sin(\frac{3\pi}{2}+x ) = -2\\sin(\frac{3\pi}{2}+x ) = -1\\\frac{3\pi}{2}+x = sin^{-1}-1\\ \frac{3\pi}{2}+x = -\frac{\pi}{2} \\x = -\frac{\pi}{2} -\frac{3\pi}{2} \\x = \frac{-4\pi}{2} \\x = -2\pi\\](https://tex.z-dn.net/?f=sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%2B%20sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5C2sin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-2%5C%5Csin%28%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%29%20%3D%20-1%5C%5C%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%20%3D%20sin%5E%7B-1%7D-1%5C%5C%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%2Bx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20%20%5Cfrac%7B-4%5Cpi%7D%7B2%7D%20%5C%5Cx%20%3D%20-2%5Cpi%5C%5C)
<u>Since sin is negative in the 3rd and 4th quadrant, </u>
In the 3rd quadrant;
x =180°+2π
x = π + 2π
x = 3π
In the 4th quadrant;
x = 360°-2π
x = 2π-2π
x = 0°
Answer:
21................
Step-by-step explanation:
21.................
Well, there's nothing to solve per se, however assuming you meant "rationalizing the denominator", which means namely to "get rid of that pesky radical at the bottom", then
![\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20a%5E%7B%5Cfrac%7B%20n%7D%7B%20m%7D%7D%20%5Cimplies%20%20%5Csqrt%5B%20m%5D%7Ba%5E%20n%7D%20%0A%5Cqquad%20%5Cqquad%0A%5Csqrt%5B%20m%5D%7Ba%5E%20n%7D%5Cimplies%20a%5E%7B%5Cfrac%7B%20n%7D%7B%20m%7D%7D%5C%5C%5C%5C%0A-------------------------------)
$28.75 an hour.
If she worked $25 an hour, then got a raise of 15%...It turns into $28.75.
To get the days income, you simply multiply the rate by the time. $28.75 times 8 to get $230.
Hope this helps!