Answer:
Part B: ![\displaystyle [1, 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B1%2C%202%5D)
Part A: Set both equation equal to each other by Substitution, since our <em>y-values</em> are already given to us.
Step-by-step explanation:
6x - 4 = 5x - 3
- 6x + 3 - 6x + 3
____________
Plug this coordinate back into the above equations to get the <em>y-coordinate</em><em> </em>of 2.
<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em>[where<em> </em><em>b</em><em> </em>is the y-intercept and the rate of change (slope) is represented by <em>m</em>]
![\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%205x%20-%203%3B%20%5B0%2C%20-3%5D%3B%205%20%3D%20m%20%5C%5C%20y%20%3D%206x%20-%204%3B%20%5B0%2C%20-4%5D%3B%206%20%3D%20m)
I am joyous to assist you at any time.
It would depend on what n was equal to
Answer:
0.2146
Step-by-step explanation:
From the picture:
The radius of the circle = r. This means that the area of the circle = πr²
Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²
The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²
The ratio of the area inside the square but outside the circle to the area of the square = r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146
The square root of Pi is approximately 1.77245.
First, let's start off with the information we already have. Since the ratio is 4 boys to 5 girls, there has to be a minimum of 9 students (4 being boys and 5 being girls).
9 will be the denominator of both of our fractions since the boys and girls are in the same class.
The fraction of boys in the class is 4/9 (since there are 4 boys to 5 girls in a class of 9, we would write 4 over 9) and the fraction of girls in the class is 5/9.
This is a simplified version of the fractions. If this is a multiple-answer question and 4/9 and 5/9 are not up there, try multiplying the fractions with different numbers and see what fractions will be correct.
But either way, 4/9 and 5/9 are correct :)
