6x1=__________________
Answer would then be c
Answer:
Step-by-step explanation:
Given Perimeter of window
![P=16\ ft](https://tex.z-dn.net/?f=P%3D16%5C%20ft)
Suppose x and y be the dimension of rectangular window
Perimeter of rectangular portion ![=x\cdot y](https://tex.z-dn.net/?f=%3Dx%5Ccdot%20y)
Perimeter of semicircle![=\pi (0.5x)](https://tex.z-dn.net/?f=%3D%5Cpi%20%280.5x%29)
so
![2(x+y)+0.5\pi x=16](https://tex.z-dn.net/?f=2%28x%2By%29%2B0.5%5Cpi%20x%3D16)
![y=8-0.25\pi x-x](https://tex.z-dn.net/?f=y%3D8-0.25%5Cpi%20x-x)
Area of the window is
![A=xy+\frac{\pi x^2}{4}](https://tex.z-dn.net/?f=A%3Dxy%2B%5Cfrac%7B%5Cpi%20x%5E2%7D%7B4%7D%20)
![A=x(8-0.25\pi x-x)+0.25\pi x^2](https://tex.z-dn.net/?f=A%3Dx%288-0.25%5Cpi%20x-x%29%2B0.25%5Cpi%20x%5E2)
differentiate A w.r.t x to get maximum or minimum value
![\frac{\mathrm{d} A}{\mathrm{d} x}=8-(0.5\pi +2)x+\frac{\pi x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20A%7D%7B%5Cmathrm%7Bd%7D%20x%7D%3D8-%280.5%5Cpi%20%2B2%29x%2B%5Cfrac%7B%5Cpi%20x%7D%7B2%7D)
put
to get maxima/minima
thus ![x=4 ft](https://tex.z-dn.net/?f=x%3D4%20ft)
for
, ![y=8-0.25\pi \cdot 4-4](https://tex.z-dn.net/?f=y%3D8-0.25%5Cpi%20%5Ccdot%204-4)
![y=0.858 ft](https://tex.z-dn.net/?f=y%3D0.858%20ft)
The answer is 15 cookies and 5 brownies. Hope this helped
Answer:
3.0 GPA
Step-by-step explanation:
A = 4.0
B = 3.0
C = 2.0
18 (all of the GPA's added up) / 6 (number of numbers) = 3.0
<h2>
Hello!</h2>
The answer is:
The correct option is:
A) $74.55
<h2>Why?</h2>
To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.
Calculating we have:
![PriceAfterDiscount=35*50(percent)=35*\frac{50}{100}\\\\35*\frac{50}{100}=35*0.5=17.5](https://tex.z-dn.net/?f=PriceAfterDiscount%3D35%2A50%28percent%29%3D35%2A%5Cfrac%7B50%7D%7B100%7D%5C%5C%5C%5C35%2A%5Cfrac%7B50%7D%7B100%7D%3D35%2A0.5%3D17.5)
We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:
![AfterTaxes=17.5(1+6.5(percent))=17.5(1+\frac{6.5(percent)}{100})\\\\AfterTaxes=17.5(1+\frac{6.5(percent)}{100})=17.5*(1+0.065)\\\\AfterTaxes=17.5*(1+0.065)=17.5*1.065=18.637](https://tex.z-dn.net/?f=AfterTaxes%3D17.5%281%2B6.5%28percent%29%29%3D17.5%281%2B%5Cfrac%7B6.5%28percent%29%7D%7B100%7D%29%5C%5C%5C%5CAfterTaxes%3D17.5%281%2B%5Cfrac%7B6.5%28percent%29%7D%7B100%7D%29%3D17.5%2A%281%2B0.065%29%5C%5C%5C%5CAfterTaxes%3D17.5%2A%281%2B0.065%29%3D17.5%2A1.065%3D18.637)
So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.
Hence, the price for the four pairs of shoes will be:
![TotalPrice=4*18.637=74.548=74.55](https://tex.z-dn.net/?f=TotalPrice%3D4%2A18.637%3D74.548%3D74.55)
Have a nice day!