For this triangle in particular, we can use the special rules of a 30-60-90 triangle
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
Answer:

Step-by-step explanation:
1) rewrite 60 as it's prime factors.

2) group the smae prime factors into pairs.

3) Rewrite each pair in exponent form.

4) use this role:


5) Simplify.

So, therefor, the answer is option 1.
Answer: strong positive correlafion between data plan size 'x' and number of text messages sent 'y'
Step-by-step explanation:
'R' in statistics is used to denote correlation Coefficient. The correlation Coefficient is a value which ranges between -1 to +1. It tells us the level of relationship or correlation which exists between the relative movement of two variables, in this case the relationship between data plan size and the number of text messages sent in the US. R value of 0 depicts that no relationship exists between the two variables, R value closer the R value is to +1 and - 1 depicts the strength of positive and negative correlation of the two variables respectively.
A R value of +0.97 in the context above, depicts a strong positive correlation between data plan size and number of text messages sent in the US. That is large data size usually corresponds to large number of text messages and vice versa.