![arc \ length \ of \ BD = \pi r ( \frac{\angle BPD}{180} ) \\ \\ \angle BPD=\angle APC=92^o \ \ \text{[vertical angle]} \\ \\ arcBD= \pi *8 *\frac{92}{180} \approx 4.09 \pi \ in \approx12.85 in ](https://tex.z-dn.net/?f=arc%20%5C%20length%20%5C%20of%20%5C%20BD%20%3D%20%5Cpi%20r%20%28%20%5Cfrac%7B%5Cangle%20BPD%7D%7B180%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%5Cangle%20BPD%3D%5Cangle%20APC%3D92%5Eo%20%5C%20%5C%20%5Ctext%7B%5Bvertical%20angle%5D%7D%20%5C%5C%20%20%5C%5C%20arcBD%3D%20%5Cpi%20%2A8%20%2A%5Cfrac%7B92%7D%7B180%7D%20%20%5Capprox%204.09%20%5Cpi%20%20%5C%20in%20%5Capprox12.85%20in%0A)
Answer: ≈4.09π in. ≈12.85 in.
Answer:

is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.
The value of x and y in the given equation is determined -1 and -2 respectively.
<h3>
Value of x and y</h3>
The value of x and y can be determined by solving the two equations simultaneously.
y = -2x - 4 ----- (1)
y = 4x + 2 ----- (2)
solve (1) and (2) together
-2x - 4 = 4x + 2
-6x = 6
x = -1
y = 4(-1) + 2
y = -4 + 2
y = -2
Learn more about equations here: brainly.com/question/2972832
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Hello There!
First work out the number of shelves per bookcase:
65/13 = 5
It is 5 shelves per bookcase.
6 x 5 = 30.
Therefore 32 shelves are enough to make 6 bookcases.
Hope This Helps You!
Good Luck :)
- Hannah ❤