Answer:
Taylor is currently 12
Step-by-step explanation:
x = Taylor's current age
x + 8 = Anna's current age
in 4 years: x + 8 + 4 = 2x
12 = x
The side measuring 6.2 is adjacent to the reference angle x. 9 is the measure of the hypotenuse. The trig ratio that relates the side adjacent to the hypotenuse is cosine. We will actually use inverse cosine because what we are looking for is an angle measure. Setting up properly, we have

. When we do the division we get cos(x) = .68888888 In order to find the angle that has a cosine ratio of .6888888, we will hit the 2nd button on our calculator and then the cos button and we will see this on our display:

and a parenthesis that is open. Enter that .688888 in and hit enter and you'll get an angle measure of 46.45 or 46.5 rounded. First choice from above.
The least common denominator would be 18.
Answer:
x=sqrt of 12
Step-by-step explanation:
First, you divide by 9 on both sides:
x^2= 108/9
Then you solve that:
x^2 = 12
Then you find the root of both sides:
sqrt (x^2)= sqrt (12)
and you get:
x= sqrt of 12 which is about 3.46... OR 2√3
Answer:
200,-1000,5000
Step-by-step explanation:
First we need to find the common ratio
Take the second term and divide by the first
-10/2 = -5
To find the 5th term take the 4th term and multiply by the common ratio
-40*-5 = 200
To find the 6th term take the 5th term and multiply by the common ratio
200 *-5 = -1000
To find the 7th term take the 6th term and multiply by the common ratio
-1000*-5 = 5000