Differentiate both sides with respect to , treating
as a function of
:
At the point (0, 0), the derivative is
What is the measure of an angle if it is 660 less than 6 times its own supplement
1 answer:
Answer:
60
Step-by-step explanation:
Since this angle is unknown, let's just represent it with the variable "x". So the supplement angle of "x" is essentially, the value of the angle that we need to add to "x" to get 180. In other words let's just say that the supplement angle is "y". This means that: . If we subtract x from both sides we can represent "y" or the supplement angle as:
.
Since it's 660 less than 6 times it's own supplement let's first multiply the supplement by 6
Now let's subtract 660 from it, since it's 660 less
This value should be equal to the angle, which is represented as "x". So let's set it equal to x
Add 6x to both sides
Divide both sides by 7
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Answer:
The hotel bill in the first city before tax would be $ 650
Step-by-step explanation:
Let x be the hotel charges ( in dollars ) before tax in the first city,
∵ Hotel charges before tax in the second city were $1500 lower than in the first.
So, the hotel charges in second city = ( x - 1500 ) dollars,
Now, percentage of tax in,
First city = 8%
Second city = 10%,
So, the total tax in both city = 8% of x + 10% of (x-1500)
According to the question,
Hence, the hotel bill in the first city before tax would be $ 650.