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a) The Linear function will be:
![L(t) = 15 + \frac{1}{2} (t)](https://tex.z-dn.net/?f=L%28t%29%20%3D%2015%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%28t%29)
b) After 50 months, the length will be 40 inches.
Step-by-step explanation:
In this question we need to find the linear function to model length L(t). We are given:
Length of hair to donate = 15 in
Growth of hair per month = 1/2 in
The Linear function will be:
![L(t) = 15 + \frac{1}{2} (t)](https://tex.z-dn.net/?f=L%28t%29%20%3D%2015%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%28t%29)
- Now, determining the time t when her hair length reaches 40 inches.
Length of hair L(t) = 40
We need to find t in the above linear function
![L(t) = 15 + \frac{1}{2} (t)](https://tex.z-dn.net/?f=L%28t%29%20%3D%2015%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%28t%29)
Subtracting 15 from both sides
![40 - 15 = \frac{1}{2} (t)\\25 = \frac{1}{2} (t)](https://tex.z-dn.net/?f=40%20-%2015%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28t%29%5C%5C25%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28t%29)
Multiplying 2 on both sides
![t = 25 * 2\\t = 50](https://tex.z-dn.net/?f=t%20%3D%2025%20%2A%202%5C%5Ct%20%3D%2050)
So, After 50 months, the length will be 40 inches.
Learn More:
- Information about linear function
brainly.com/question/1284310
#learnwithBrainly
Answer:
6.5
Step-by-step explanation:
The sum of all angles in a triangle are 180 degrees.
=> 10x -10 + 8x + 10x + 8 = 180
=> 28x -2 = 180
=> 28x = 182
=> x = 6.5
So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees
Angle B = 8 x 6.5 = 52 degrees
Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.
55 + 52 + 73 = 55 + 125 = 180 degrees