The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.
<h3>Simultaneous equation</h3>
let
- Number of decorative pillows for twin bed = x
- Number of decorative pillows for queen bed = y
x + y = 15
2x + y = 21
From equation (1)
x = 15 - y
- Substitute x = 15 - y into (2)
2x + y = 21
2(15 - y) + y = 21
30 - 2y + y = 21
- 2y + y = 21 - 30
-y = -9
y = 9
Substitute y = 9 into
x + y = 15
x + 9 = 15
x = 15 - 9
x = 6
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Answer: A because its always A
Step-by-step explanation:
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
![\frac{\pi r^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D)
We can substitute what we have:
![\frac{25\pi }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B25%5Cpi%20%7D%7B2%7D)
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
Step-by-step explanation:
![\frac{sinA}{1+cosA} +\frac{1+cos}{sinA} =2cosec\\\\\\\frac{sin^{2}A+(1+cos)^{2} }{sinA(1+cosA)} \\\\](https://tex.z-dn.net/?f=%5Cfrac%7BsinA%7D%7B1%2BcosA%7D%20%2B%5Cfrac%7B1%2Bcos%7D%7BsinA%7D%20%3D2cosec%5C%5C%5C%5C%5C%5C%5Cfrac%7Bsin%5E%7B2%7DA%2B%281%2Bcos%29%5E%7B2%7D%20%20%7D%7BsinA%281%2BcosA%29%7D%20%5C%5C%5C%5C)
and we have ![sin^{2}+cos^{2} =1](https://tex.z-dn.net/?f=sin%5E%7B2%7D%2Bcos%5E%7B2%7D%20%3D1)
so ![\frac{1+1+2cosA }{sinA(1+cosA)} \\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B1%2B2cosA%20%20%7D%7BsinA%281%2BcosA%29%7D%20%5C%5C%5C%5C)
![\frac{2+2cosA }{sinA(1+cosA)} \\\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B2cosA%20%20%7D%7BsinA%281%2BcosA%29%7D%20%5C%5C%5C%5C)
we have ![\frac{1}{sin}=cosec\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bsin%7D%3Dcosec%5C%5C)
<em>Finally </em>
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<em>I really hope this helps coz it took much time </em>