So 4 hours
1 hour=60 minutes
1 minute=60 seconds
1 hour=60 times 60 seconds=3600seconds
4 hours=3600 seconds times 4=14400seconds
so 8 out of 14400
8/14400=2/3600=1/1800
percent means parts out of100 so
x%=x/100
the reatios are equal to
1/1800=x/100
mulitply both sides by 100
100/1800=x
1/18=x
divide out
0.055555555=x
round
0.06%
Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
![h= \sqrt({25}0^{2} +250^{2} )](https://tex.z-dn.net/?f=h%3D%20%5Csqrt%28%7B25%7D0%5E%7B2%7D%20%2B250%5E%7B2%7D%20%29)
![h= \sqrt{125000}](https://tex.z-dn.net/?f=h%3D%20%5Csqrt%7B125000%7D%20)
![h=353.6](https://tex.z-dn.net/?f=h%3D353.6)
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>
Answer:
![8x3+24x2+10x+30= 2[(4x^2+5)(x+3)]](https://tex.z-dn.net/?f=8x3%2B24x2%2B10x%2B30%3D%202%5B%284x%5E2%2B5%29%28x%2B3%29%5D)
Step-by-step explanation:
Given
![8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)](https://tex.z-dn.net/?f=8x3%2B24x2%2B10x%2B30%3D%202%284x%5E3%2B12x%5E2%2B5x%2B15%29)
![8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)]](https://tex.z-dn.net/?f=8x3%2B24x2%2B10x%2B30%3D%202%5B4x%5E2%28x%2B3%29%2B5%28x%2B3%29%5D)
Required
The complete factored form
We have:
![8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)]](https://tex.z-dn.net/?f=8x3%2B24x2%2B10x%2B30%3D%202%5B4x%5E2%28x%2B3%29%2B5%28x%2B3%29%5D)
Factor out x + 3
![8x3+24x2+10x+30= 2[(4x^2+5)(x+3)]](https://tex.z-dn.net/?f=8x3%2B24x2%2B10x%2B30%3D%202%5B%284x%5E2%2B5%29%28x%2B3%29%5D)
<em>The above represents the completely factored form</em>