Answer:
144
Step-by-step explanation:
20×12=240
add 4 to 20 and 12
makes a new rectangle 24×16
24×16=384
384-240=144
= <u>187.3 yards</u>
Step-by-step explanation:
The set-up will represent a triangle whereby the :
- Width = Height = 150 yards
- Diagonal = Hypotenuse = 240 yards
- Length = Base = ?
![{a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {240}^{2} - {150}^{2} \\ {a}^{2} = 57600 - 22500 \\ \sqrt{ {a}^{2} } = \sqrt{35100} \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%5C%5C%20%7Ba%7D%5E%7B2%7D%20%3D%20%20%7B240%7D%5E%7B2%7D%20%20-%20%20%7B150%7D%5E%7B2%7D%20%20%5C%5C%20%7Ba%7D%5E%7B2%7D%20%3D%2057600%20-%2022500%20%5C%5C%20%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B35100%7D%20%20%5C%5C%20a%20%3D%20187.3yards%20%5C%3A%20%28rounded%20%5C%3A%20off%20%5C%3A%20to%20%5C%3A%201dp%29)
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
Based on the number of people who chose the other fruits, the percentage of people who chose pears was <u>25%. </u>
<h3>Number of people who chose pears </h3>
= Number of participants - Number who chose apples - Number who chose oranges
= 60 - 28 - 17
= 15 people
<h3>Percentage who chose pears </h3>
= Number of people who chose pears / Total number of people x 100%
= 15 / 60 x 100%
= 25%
In conclusion, 25% chose pears.
Find out more on percentages at brainly.com/question/13516343.