You have to use sin, cos, tan and find the length of the last side and other angles. Then you have to put an imaginary line down the middle and use the sin, cos, tan to find the height and then do 1/2 base times height.
Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Step-by-step explanation:
Let x be the cost of one sandwich and y be the cost of one cup of coffee.
By considering the given situation, we have the following equations :-
![4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)](https://tex.z-dn.net/?f=4x%2B3y%3D23.75.................%281%29%5C%5C%5C%5C2x%2B5y%3D19.75................%282%29)
Multiply 2 on both sides of equation (2) , we get
![4x+10y=39.5................(3)](https://tex.z-dn.net/?f=4x%2B10y%3D39.5................%283%29)
Subtract equation (1) from equation (3), we get
![7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25](https://tex.z-dn.net/?f=7y%3D15.75%5C%5C%5C%5C%5CRightarrow%5C%20y%3D%5Cdfrac%7B15.75%7D%7B7%7D%3D2.25)
Put value of y in (1), we get
![4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25](https://tex.z-dn.net/?f=4x%2B3%282.25%29%3D23.75%5C%5C%5C%5C%5CRightarrow%5C%204x%2B6.75%3D23.75%5C%5C%5C%5C%5CRightarrow%5C%204x%20%3D17%5C%5C%5C%5C%5CRightarrow%5C%20x%3D4.25)
Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Add all sides.
5x+2+3x+8+4x-1
Combine like terms
12x+9
Subtract nine to get it on the other side of the equal sign
12x= -9
Divide by twelve
x=-9/12
Simplify
x=-3/4
Plug in x.
Answer:
B) x = 2, y = 1
Step-by-step explanation:
Add the two equations to eliminate the x-variable.
(x +3y) +(-x +6y) = (5) +(4)
9y = 9 . . . . . . .simplify
y = 1 . . . . . . . . divide by 9
You can substitute this value into either equation to find x.
x + 3(1) = 5
x = 2 . . . . . . . . subtract 3
The solution is (x, y) = (2, 1).