Answer: ![(\frac{\sqrt{3} }{2} ,-\frac{1}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%2C-%5Cfrac%7B1%7D%7B2%7D%20%29)
Step-by-step explanation:
this forms a 30 degree reference angle
and this is in the 4th quadrant
When the angle is 30 degrees, the coordinates are:
![(\frac{\sqrt{3} }{2} ,-\frac{1}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%2C-%5Cfrac%7B1%7D%7B2%7D%20%29)
Answer:
105+15=3x
120=3x
x=40
be grateful, I don't help ppl usually
2 is more than a number v
2 > v is your equality
this means that <em>v</em> can be the number 1 or less
hope this helps
Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.
<u>Solution:</u>
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,
![\Rightarrow0.5\text{ lbs }- 1.5\%](https://tex.z-dn.net/?f=%5CRightarrow0.5%5Ctext%7B%20lbs%20%7D-%201.5%5C%25)
![\Rightarrow x+0.5\text{ lbs }- 100\%](https://tex.z-dn.net/?f=%5CRightarrow%20x%2B0.5%5Ctext%7B%20lbs%20%7D-%20100%5C%25)
On writing the proportion,
![\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs](https://tex.z-dn.net/?f=%5CRightarrow%5Cdfrac%7B0.5%7D%7Bx%2B0.5%7D%3D%5Cdfrac%7B1.5%7D%7B100%7D%5C%5C%20%5C%5C%5CRightarrow0.5%5Ccdot%20100%3D%28x%2B0.5%29%5Ccdot%201.5%5C%5C%20%5C%5C%5CRightarrow50%3D1.5x%2B0.75%5C%5C%20%5C%5C%5CRightarrow1.5x%3D50-0.75%5C%5C%20%5C%5C%5CRightarrow1.5x%3D49.25%5C%5C%20%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B49.25%7D%7B1.5%7D%5Capprox%2032.833%5C%20lbs)
To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.
Answer:
2x^2+7x+3
Step-by-step explanation:
(2x+1)(x+3)
2x^2+x+6x+3
2x^2+7x+3