Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
why is no one answering I have the same question
10! / (!2 * 8!) = '10 choose 10 choose 8
First calculate the missing angle

. By knowing all angles in triangle have a sum of 180°.


Now we required to use angle functions in a right triangle. The cosine of

is equal to the relation of side

and hypotenuse

.
Now we solve this for hypotenuse.


Now put in the numbers.

So we know the length of hypotenuse and length of side

therefore side

can be calculated using Pythagorean theorem:

.
Solve for side

.



So there you go. If you have any questions feel free to ask.
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