Answer:
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
Step-by-step explanation:
Let,
x be the cost of each apple pie
y be the cost of each lemon merigue pie
According to given statement;
5x+2y=80 Eqn 1
3x+6y=90 Eqn 2
Multiplying Eqn 1 by 3
3(5x+2y=80)
15x+6y=240 Eqn 3
Subtracting Eqn 2 from Eqn 3
(15x+6y)-(3x+6y)=240-90
15x+6y-3x-6y=150
12x=150
Dividing both sides by 12
![\frac{12x}{12}=\frac{150}{12}\\x=12.50](https://tex.z-dn.net/?f=%5Cfrac%7B12x%7D%7B12%7D%3D%5Cfrac%7B150%7D%7B12%7D%5C%5Cx%3D12.50)
Putting x=12.50 in Eqn 1
5(12.50)+2y=80
62.50+2y=80
2y=80-62.50
2y=17.50
Dividing both sides by 2
![\frac{2y}{2}=\frac{17.50}{2}\\y=8.75](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B17.50%7D%7B2%7D%5C%5Cy%3D8.75)
Hence,
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
Answer:
4585.8 feet
Step-by-step explanation:
If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:
250 - 10 = 240
The hypotenuse of the triangle is the length of line of sight. We can call this "x".
So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:
![Sin(3)=\frac{240}{x}](https://tex.z-dn.net/?f=Sin%283%29%3D%5Cfrac%7B240%7D%7Bx%7D)
Now, we cross multiply and solve for x, line of sight length:
![Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8](https://tex.z-dn.net/?f=Sin%283%29%3D%5Cfrac%7B240%7D%7Bx%7D%5C%5Cx%3D%5Cfrac%7B240%7D%7BSin%283%29%7D%5C%5Cx%3D4585.8)