Hi there, 2.5 to the third power=2.5*2.5*2.5=15.625, Therefore, the answer is D. 15.625
Answer:
144
Step-by-step explanation:
We are asked to create a factorable polynomial that has a GCF of 3x. This can be done in many different ways, but we'll use the easiest one. This will be completing the square.
GCF: 3x
Suitable Polynomial: 3x³ + 18x² +27x
Other Expressible Ways:
1) 3x(x² + 6x + 9)
2) 3x(x + 3)²
We got this by creating a perfect trinomial, which is x² + 6x + 9, as it can be factored into the binomial (x + 3)². All we had to do is multiply 3x to x² + 6x + 9 and simplify. Hope this helped!
You can make the equilateral triangle into a right triangle by cutting it in half. So, your sides would be 4.5, 9, and x.
Using Pythagorean Theorem, you know that a^2 + b^2 = c^2.
The 'a' would be equal to 9, and 9^2 is equal to 81.
B is equal to 4.5, and 4.5^2 is 20.25.
So, you have the following:
81 + 20.25 = c^2
And that makes 'c' equal to 101.25.
The square root of 101.25 is approximately equal to 10.06.
So now you know the height, 10.06.
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of colors that the arrow can land on = 8
We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.
As we know that degree of freedom is 1 less than the size of sample.
So, Mathematically, it is expressed as below:
So, Degree of freedom would be
Hence, Option 'c' is correct.