Answer:
0.124
Step-by-step explanation:
To divide the numbers, we need to remove the decimal point
To remove decimal point , we multiply top and bottom by 100
Use long division. After using decimal point at the top we can include any number of zeros with 719
. 1 2 3 9
---------------------
5800 7190
5800
------------------------(subtract)
13900
11600
---------------------------(subtract)
2300 0
1740 0
--------------------------(subtract)
56000
52200
---------------------------(subtract)
3800 0
Division goes on ............
Estimate the quotient to 3 decimal places
Quotient = 0.124
You did ask for the EXACT value, which no one has posted yet. The exact value is √(2 + √3)/2. To three decimal places, that is .966.
As for how I got that, I started with a 30-60-90 triangle and extended the longer side by the length of the hypotenuse to get a 15-75-90 triangle, then used Pythagoragus. For some reason, though, most students have an easier time using a half-angle formula, so feel free to do it that way.
* * * *
OK, sorry, I see Awesome Sauce also gives an exact value. It is also correct, just looks a little different.
* * * *
From your comment in Additional Details, it appears you want to use the angle difference relation: cos(π/12) = cos(π/4 - π/6). That works also, but you need to get the formula right, which is:
cos(a - b) = cos a * cos b + sin a * sin b
For cos (45 - 30), this gives cos 45 * cos 30 + sin 45 * sin 30 = √2/2 * √3/2 + √2/2 * 1/2 = √2/4(√3 + 1). This is yet another expression for the same exact value.
Answer:
x^2+(4/3)x+1/3
Step-by-step explanation:
In order to find the quadratic equation, you put the roots in this format:
(x-a)(x-b)=0
(x-(-1/3))(x-(-1))=0
(x+1/3)(x+1)=0
Then you would solve:
x^2+x+(1/3)x+1/3
= x^2+(4/3)x+1/3
Hope this helps!
