Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
H₀: μs = μf
H₁: μs ≠ μf
Step-by-step explanation:
Hello!
If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.
Then the parameters of interest will be:
μs= average number of sales of the "snacks" department.
μf= average number of sales of the "frozen food" department.
The objective is to test if there is any difference between both departments, then the hypothesis should be two-tailed:
H₀: μs = μf
H₁: μs ≠ μf
I hope it helps!
that would mean he's 7 right now
Answer:
16,876,789. 82364 ≈ 82,000
Step-by-step explanation:
Let's go through this Step by Step.

Now let's go through the Addition.

Now, we round 82364 to the nearest thousand.
The nearest thousand is 2000. so the answer to this one would be 82000.
hope this helps.