Answer:
The answer is C
Step-by-step explanation:
Just calculate it
Let the angles be x and (180-x).
Let 2x = 180-x.
Then 3x = 180, and x = 60. One angle is 60 degrees and the other is 180-60, or 120, degrees.
Answer: 9 tilapia
Step-by-step explanation:
The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.
If there are 30 catfish, use direct proportion to find out the number of tilapia:
6 : 20
x : 30
Cross multiply:
20x = 180
x = 180 / 20
x = 9 tilapia
Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term, that is,
.
To find the nth term of the sequence, this equation can be written as:

27,11, -5
So ![a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2027%2C%20a_%7B2%7D%20-%20a_%7B1%7D%20%3D%2011%20-%2027%20%3D%20-16%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Da_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)

The 53rd term of this arithmetic sequence is -805.
Hello!
To find the circumference of a circle you do

where r is the radius of the circle
So we do 2

Then we substitute pi for 3.14
2 * 3.14 * 72 = 452.16 yds
Then we multiply this by 5 since he runs 5 laps
Which gives us the answer of 2260.8 yds
Hope this helps!