No, there is not common ratio...
0.972 (common ratio is 0.3...10.8*.3*.3)
you can use the geometric mean to find this center value easily...
(18*8)^(1/2)=12
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is
, where 0°< x < 90°?
Solving:
![sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}](https://tex.z-dn.net/?f=sin%5C%3A%20x%20%3D%20cos%5C%3A%2019%5E%7B%5Ccirc%7D%5C%5CFinding%20%5C%3Acos%5C%3A%2019%5E%7B%5Ccirc%7D%3D0.94551%5C%5CPutting%5C%3Avalue%3A%5C%5Csin%5C%3Ax%3D0.94551%5C%5CNow%5C%3Ataking%5C%3Asin%5C%3Ainverse%5C%5Cx%3Dsin%5E%7B-1%7D%280.94551%29%5C%5Cx%3D71%5E%7B%5Ccirc%7D)
So, we get x = 71°
Option B is correct answer.
<span>False.
Organizational charts are the</span> graphic representation of the structure of an organization which shows the relationships of the positions within it.
Answer:B
Step-by-step explanation:
Answer:
The possible parking lengths are 45.96 feet and 174.031 feet
Step-by-step explanation:
Let x be the length of rectangular plot and y be the breadth of rectangular plot
A rectangular parking lot must have a perimeter of 440 feet
Perimeter of rectangular plot =2(l+b)=2(x+y)=440
2(x+y)=440
x+y=220
y=220-x
We are also given that an area of at least 8000 square feet.
So, ![xy \leq 8000](https://tex.z-dn.net/?f=xy%20%5Cleq%208000)
So,![x(220-x) \leq 8000](https://tex.z-dn.net/?f=x%28220-x%29%20%5Cleq%208000)
![220x-x^2 \leq 8000](https://tex.z-dn.net/?f=220x-x%5E2%20%5Cleq%208000)
So,![220x-x^2 = 8000\\-x^2+220x-8000=0](https://tex.z-dn.net/?f=220x-x%5E2%20%3D%208000%5C%5C-x%5E2%2B220x-8000%3D0)
General quadratic equation : ![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
Formula : ![x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-220%20%5Cpm%20%5Csqrt%7B220%5E2-4%28-1%29%28-8000%29%7D%7D%7B2%28-1%29%7D%5C%5Cx%3D%5Cfrac%7B-220%20%2B%20%5Csqrt%7B220%5E2-4%28-1%29%28-8000%29%7D%7D%7B2%28-1%29%7D%20%2C%20%5Cfrac%7B-220%20-%20%5Csqrt%7B220%5E2-4%28-1%29%28-8000%29%7D%7D%7B2%28-1%29%7D%5C%5Cx%3D45.96%2C174.031)
So, The possible parking lengths are 45.96 feet and 174.031 feet