By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
She puts 8% of her salary in, so multiply her pay by 8% to get her yearly amount she saves:
45000 x 0.08 = $3,600 per year.
The company puts 6% of that in the account:
3600 x 0.06 = $216
So per year 3600 + 216 = $3,816 is saved.
3,816 x 2 = $7,632 is the 2 year total.
The answer is A.
Your answer is c, an obtuse triangle because if the two side lengths are the same length along with a longer side, it become obtuse
let me know if you have any other questions
:)
The length of JK rounded to the nearest hundredth is 4.72
