It represents the entire data set and the triangles inside the circle graph represent part of the whole data set
The length of the hypothenuse or the value of x is equal to 19.53
Data;
- hypothenuse = x
- adjacent = 11.2
- opposite = 16
<h3>Pythagoras's Theorem</h3>
To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
![x^2 = y^2 + z^2\\](https://tex.z-dn.net/?f=x%5E2%20%3D%20y%5E2%20%2B%20z%5E2%5C%5C)
Let's substitute the values and solve for the missing side
![x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53](https://tex.z-dn.net/?f=x%5E2%20%3D%2016%5E2%20%2B%2011.2%5E2%20%5C%5Cx%5E2%20%3D%20256%20%2B%20125.44%5C%5Cx%5E2%20%3D%20381.44%5C%5Cx%20%3D%20%5Csqrt%7B381.44%7D%20%5C%5Cx%20%3D%2019.53)
The length of the hypothenuse or the value of x is equal to 19.53
Learn more Pythagoras theorem here;
brainly.com/question/3317136
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)