Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
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So we can write:

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:

Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
Answer:
Step-by-step explanation:
Hello, we know that the z complex solutions of

are
1, i, -1, -i
so, the solutions of
are
2, 2i, -2, -2i
Thank you
Answer:
15 days
Step-by-step explanation:
Well, since there are 5 cups of oatmeal, and she eats 1/3 a day, then the equation is: 5 divided by 1/3 then change 1/3 to its reciprocal which is 3. 5 times three is 15 so therefore Stella will finish it in 15 days.
<em>Your welcome.</em>
Answer:
It would be y = 40x
The new equation is y = 45x
Step-by-step explanation:
I did the other question you put ;)
Answer:
a. the less variability it has
Step-by-step explanation:
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
When your standard deviation is big your data is more dispersed.
When your standar deviation is small your mean is a representative index of your data, and there is less variability.
If there was no dispersion of the data (if all your data be the same) then the standard deviation will be 0.