Answer:
6
Step-by-step explanation:
i hope its right and if not im sorry im not good with math
If 150 chocolate chip cookies are 15% of the days production, then we may write it down as:
150 = 15% from x
150 = 15/100x
150 = 3/20x / * 20 (both sides)
3000 = 3x / ÷ 3 (both sides)
<u>x = 1000</u>
Answer: I planned producing 1000 cokies that day.
Answer:
![\frac{4}{3}+\frac{4\sqrt{3}}{3}i](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7Di)
Explanation:
Given:
![\frac{8(\cos\frac{\pi}{2}+i\sin\frac{\pi}{2})}{3(\cos\frac{\pi}{6}+i\sin\frac{\pi}{6})}](https://tex.z-dn.net/?f=%5Cfrac%7B8%28%5Ccos%5Cfrac%7B%5Cpi%7D%7B2%7D%2Bi%5Csin%5Cfrac%7B%5Cpi%7D%7B2%7D%29%7D%7B3%28%5Ccos%5Cfrac%7B%5Cpi%7D%7B6%7D%2Bi%5Csin%5Cfrac%7B%5Cpi%7D%7B6%7D%29%7D)
To find:
The quotient and write it in rectangular form using exact values
Recall the below;
![\cos\theta+i\sin\theta=e^{i\theta}](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%2Bi%5Csin%5Ctheta%3De%5E%7Bi%5Ctheta%7D)
So we can go ahead and rewrite the given expression and simplify as shown below;
![\begin{gathered} \frac{8(\cos\frac{\pi}{2}+i\sin\frac{\pi}{2})}{3(\cos\frac{\pi}{6}+i\sin\frac{\pi}{6})} \\ =\frac{8(e^{\frac{i\pi}{2}})}{3(e^{\frac{i\pi}{6}})} \\ =\frac{8}{3}(e^{\frac{i\pi}{2}-\frac{i\pi}{6}}) \\ =\frac{8}{3}(e^{i\pi(\frac{1}{2}-\frac{1}{6})} \\ =\frac{8}{3}e^{\frac{i\pi}{3}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B8%28%5Ccos%5Cfrac%7B%5Cpi%7D%7B2%7D%2Bi%5Csin%5Cfrac%7B%5Cpi%7D%7B2%7D%29%7D%7B3%28%5Ccos%5Cfrac%7B%5Cpi%7D%7B6%7D%2Bi%5Csin%5Cfrac%7B%5Cpi%7D%7B6%7D%29%7D%20%5C%5C%20%3D%5Cfrac%7B8%28e%5E%7B%5Cfrac%7Bi%5Cpi%7D%7B2%7D%7D%29%7D%7B3%28e%5E%7B%5Cfrac%7Bi%5Cpi%7D%7B6%7D%7D%29%7D%20%5C%5C%20%3D%5Cfrac%7B8%7D%7B3%7D%28e%5E%7B%5Cfrac%7Bi%5Cpi%7D%7B2%7D-%5Cfrac%7Bi%5Cpi%7D%7B6%7D%7D%29%20%5C%5C%20%3D%5Cfrac%7B8%7D%7B3%7D%28e%5E%7Bi%5Cpi%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B6%7D%29%7D%20%5C%5C%20%3D%5Cfrac%7B8%7D%7B3%7De%5E%7B%5Cfrac%7Bi%5Cpi%7D%7B3%7D%7D%20%5Cend%7Bgathered%7D)
So we'll have;
Answer:
49.5
Step-by-step explanation:
area of triangle = (b x h) / 2
9 x 11 = 99
99 / 2 = 49.5
Hope this helps!
- profparis
Answer:
<h3>The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction</h3>
Step-by-step explanation:
Given the expression
for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.
![\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E%7B-6%7Dy%5E%7B-3%7D%20%7D%7B15x%5E%7B2%7Dy%5E%7B10%7D%20%20%7D%5C%5C%3D%20%5Cfrac%7B3%7D%7B15%7D%20x%5E%7B-6-2%7Dy%5E%7B-3-10%7D%5C%5C%20%3D%20%5Cfrac%7B3%7D%7B15%7Dx%5E%7B-8%7Dy%5E%7B-13%7D%20%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B5%7Dx%5E%7B-8%7Dy%5E%7B-13%7D%20%20%5C%5C)
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction