I actually just learned this in 8th grade and it was so easy its crazy but its honestly simple it helps you solve the triangles and things and the equation is a squared + b squared = c squared and the a and b you would plug in the sides of the triangle or whatever shape your working with and square those numbers then find c by adding the two and then you square the c at the end and that will be your answer.
The first step we want to take here is to subtract 6 cups of sugar since we'll need it for something else, leaving us with 10 cups of sugar. It takes 2 cups of sugar for every batch of cookies, so you're going to divide 10 by 2. Luckily, 2 is a multiple of 10 so it's a whole number. By dividing, we get 5. So, we can make 5 batches of cookies while still saving 6 cups of sugar for something else.
Side of the square: s
Area of the square: As=s^2
Diameter of the circle: d=s
Area of the circle: Ac=pi d^2/4
Ac=pi s^2/4; pi=3.1416
Ac=3.1416 s^2/4
Ac=0.7854 s^2
<span>The likelihood that a point chosen inside the square will also be inside the circle: P=?
P=Ac/As=0.7854 s^2 / s^2
P=0.7854
P=0.7854 * 100%
P=78.54%
</span>The likelihood that a point chosen inside the square will also be inside the circle is 0.7854 or 78.54%
Answer:
0
Step-by-step explanation:
This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.
y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"
Comparing to your equation, you see ...
a = -1/2, h = 3, k = -1
The vertex is (h, k) = (3, -1). The vertical scale factor is negative.
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This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)
Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.
Th dimensions of the rectangle would be 10 x 12