Answer:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number
could be Jenny favorite positive integer
Part B)
1) For 
-----> the result is an integer
2) For 
-----> the result is an integer
3) For 
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by
, she gets an integer
Given that the team starts with a score of 0, after skipping 8 turns they would have 8 points deducted and thus end up with a score of -8. Now if they guess 6 answers correctly this would add 6 points to their score and so they would end up with -8 + 6 = -2 points.
I think it's 0 since anything multiplied by 0 is, well, 0! No matter what the sign is. I believe the correct answer is 0 :)
Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
Decimal: Divide 16 by 25: 0.64
Percent: move the decimal 2 places to the left: 64, then add a percent sign: 64%