Answer:

Step-by-step explanation:
We can use the Law of Sines to find segment AD, which happens to be a leg of
and the hypotenuse of
.
The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is
. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

Now use this value in the Law of Sines to find AD:

Recall that
and
:

Now that we have the length of AD, we can find the length of AB. The right triangle
is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio
, where
is the side opposite to the 30 degree angle and
is the length of the hypotenuse.
Since AD is the hypotenuse, it must represent
in this ratio and since AB is the side opposite to the 30 degree angle, it must represent
in this ratio (Derive from basic trig for a right triangle and
).
Therefore, AB must be exactly half of AD:

It by root you mean radical equations, well then I can’t help you there, as there is too much stuff to cover.
If you mean zeros, then to find the root of a function you just find the zeros.
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
Answer:
Step-by-step explanation:
Let X= each ticket for adults and Y= each ticket for kids
x+y=548
6.50x+3.50y=2881
subtract x from each side leaving you with y= -x+548
Plug in for Y
6.50x+3.50(-x+548)=2881
6.50x - 3.50x + 1918= 2881
3x+1918=2881 ....subtract
3x=963 .....divide by 3
X= 321 tickets for adults
321+y=548 ...subtract 321
Y=227 childrens tickets