Answer: 96,672 yards cubed
Step-by-step explanation: The formula for the Volume of a rectangar prism is Length×Width×Height
114yds × 212yds × 4yds = 96,672yds^3
Its already in simplest form since its all yards
But, you can also convert it into miles
In which 1 mile = 1760 yards
So you'd divide 96670 by 1760, and what ever answer youget would be the answer in miles
So basically what you want to do is square root this, since to find the area of a square from the side length, you square it, (x * x, because the area for a quadrilateral is base * height, and a square has the same length of sides).
So there is no way to properly square root a number unless you memorize it. However, what you can do, is look at the last digit and make an approximation, at which two numbers multiply together to have a last digit of 6.
So, 4 * 4 and 6 * 6 are the two that square to have a last digit of 6.
(1: 1, 2: 4, 3: 9, 4: 6, 5: 5, 6: 6, 7: 9, 8: 4, 9: 1, 0: 0) If that makes any sense.
So basically the square root has to end with 4 or 6.
Now, you can just approximate. It would be over 20, because 20 squared (20 * 20) is equal to 400. But it would be under 30, because 30 squared is 900.
So the two possible numbers are 24 and 26.
If you square both of them, you find that:
24 squared = 576
26 squared = 676
So therefore 26 is the square root of 676, so therefore one side is 26 yards.
Hope this weirdly long explanation helped :)
Since there are 8 possibilities, but only one of them results in 3 tails tosses, the answer would be 1/8. 1 chance out of 8 possibilities.
Answer: 2
Step-by-step explanation: x^2+8/x^2-5x+6
= x4 - 5x3 + 6x2 + 8
/x^2=2
Find roots (zeroes) of : F(x) = x4 - 5x3 + 6x2 + 8
See theory in step 3.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 20.00
-2 1 -2.00 88.00
-4 1 -4.00 680.00
-8 1 -8.00 7048.00
1 1 1.00 10.00
2 1 2.00 8.00
4 1 4.00 40.00
8 1 8.00 1928.00
2
