Answer:
162.5 c glue
136.5 c tide
Total: 299 c
Step-by-step explanation:
12.25 x 13 = 162.5
10.5 x 13 = 136.5
162.5+136.5=299
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Answer:
The equation of the hyperbola is:
![\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7B76%7D%20-%20%5Cfrac%7By%5E%7B2%7D%7D%7B12%7D%20%3D%201)
Step-by-step explanation:
The equation of a hyperbola centered in the origin in standard form is:
![\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D-%5Cfrac%7By%5E%7B2%7D%7D%7Bb%5E%7B2%7D%7D%20%3D%201)
The distance between both vertexes is equal to:
![2\cdot b = \sqrt{(0-0)^{2}+(\sqrt{12}+\sqrt{12})^{2}}](https://tex.z-dn.net/?f=2%5Ccdot%20b%20%3D%20%5Csqrt%7B%280-0%29%5E%7B2%7D%2B%28%5Csqrt%7B12%7D%2B%5Csqrt%7B12%7D%29%5E%7B2%7D%7D)
![2\cdot b = 2\cdot \sqrt{12}](https://tex.z-dn.net/?f=2%5Ccdot%20b%20%3D%202%5Ccdot%20%5Csqrt%7B12%7D)
![b = \sqrt{12}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B12%7D)
Now, the distance between any of the vertexes and origin is:
![c = \sqrt{(0-0)^{2}+[(4-(-4)]^{2}}](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%7B%280-0%29%5E%7B2%7D%2B%5B%284-%28-4%29%5D%5E%7B2%7D%7D)
![c = 8](https://tex.z-dn.net/?f=c%20%3D%208)
The remaining parameter of the hyperbola is determined by the following Pythagorean expression:
![c^{2} = a^{2} - b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20-%20b%5E%7B2%7D)
![a = \sqrt{c^{2}+b^{2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7Bc%5E%7B2%7D%2Bb%5E%7B2%7D%7D)
![a = \sqrt{64+12}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B64%2B12%7D)
![a = \sqrt{76}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B76%7D)
The equation of the hyperbola is:
![\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7B76%7D%20-%20%5Cfrac%7By%5E%7B2%7D%7D%7B12%7D%20%3D%201)
Answer:
tan 12=22/x
x=22/tan 12
x=103.77.................
Nick.
40 - 1.50
38.5 - 1.50
37 - 1.50
35.5 - 1.50
34 - 1.50
32.5 - 1.50
31 - 1.50
29.5 - 1.50
27 - 1.50
25.5 - 1.50
= 24. 10 days.
24 - 1.50
= 22.5 after 11 days.
Bob:
9 + 1.50
10.50 + 1.50
12 + 1.50
13.50 + 1.50
15 + 1.50
16.50 + 1.50
18 + 1.50
19.50 + 1.50
21 + 1.50
22.50 + 1.50
Same amount of money: 24. After 10 days.
25.50 + 1.50
Bob will have more money then Nick in 11 days. He'll have 27 dollars when Nick has 22.5 dollars.