Answer:
Step-by-step explanation:
Let p = the original price of the ticket
Check:
OK.
Answer:
Part 1) 0.669
Part 2) x=23.78 cm
Step-by-step explanation:
Part 1) we have
cos(48°)
Using a calculator
cos(48°)=0.66913
Round to the nearest thousandth
0.66913=0.669
Part 2) we know that
In the right triangle of the figure
The cosine of angle of 18 degrees is equal to divide the adjacent side to the angle of 18 degrees by the hypotenuse of the right triangle
so
cos(18°)=x/25
x=(25)cos(18°)=23.78 cm
For any equation with more than one variable, there is either no solution or infinitely many solutions.
If we can find just <em>one</em> solution that works, that would eliminate the possibility of there being no solution, and so we could prove it to have infinitely many solutions.
Can we come up with at least one solution to these equations? Of course!
For x=y
Thinking of two equal numbers is extremely easy. For instance, if we chose x to be 2 and y to be 2, that's a solution right there! Thus x=y has infinitely many solutions.
It's just as easy picking two numbers that are equal when you multiply them by 1.25. Think back to the multiplication property of equality. If two things are equal, and you multiply them by a number, they will still be equal. So all we need is, once again, two equal numbers. 2 and 2, boom and boom. 1.25x=1.25y has infinitely many solutions as well.
