Answer:
i don't know
Step-by-step explanation:
i am lower grade srry
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
Find the factors of 16 and -24
16 = 8 x 2
-24 = 8 x -3
Note that both terms have "a" in it. Factor a out too
Answer:
8a(2 - 3b)
hope this helps
Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0
And please include the instructions.
2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0
Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0
Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0
Then (x+(1/4))^2 = (1/4)^2
Taking the sqrt of both sides: x+1/4 = plus or minus 1/4
Solving for x: x = -1/4 plus or minus 1/4
Solving for x (continued): x = 0 and x = -1/2
If you make yourself a monthly expense chart:
Months
<u> 1 2 3 4 5 6 7 8 9 10</u>
Opt 1 -80 -30 -30 -30 -30 -30 -30 -30 -30 -30
Opt 2 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40
By month 5 the total amount spent for Opt 1 is $200 and Opt 2 is $200
For part two add up the values for each all the way up to month 9.
Option 1: 80 + 30(8) = 80 + 240 = 320 spent
Option 2: 40(9) = 360 spent
So option 1 is cheaper by month 9
