I think you mean to say
. If
is in the third quadrant, then
and
. Recall that
We expect
to be negative, so we take the negative root. We end up with
We also know to expect
, so
By definition, we have
and so
Answer:
The value of n is 5
Step-by-step explanation:
Here, we want to get the value of n
To get this, we will need to use the appropriate trigonometric identity
As we can see, n represents the opposite as it the side that faces the angle given
m is the hypotenuse as it is the side that faces the right angle
The last side is called the adjacent
The trigonometric identity we want to use is that which connects the opposite to the adjacent
The appropriate trigonometric identity to use in this case is the tan
Thus;
Mathematically, the tan is the ratio of the opposite to the adjacent
hence;
tan 30 = n/ 5 √3
n = 5 √3 * 1/ √3
n = 5
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65
As a waitress, at the end of the night you have to tip 3% (same as 1/33) of your total earnings to the bussers and hosts.
equation:
total earnings (E) times (3% or 1/33)= money tipped to bussers and hosts(T).
E*1/33=T
If you would like to solve 36 - 0.0048, you can calculate this using the following step:
36 - 0.0048 = 35.9952
The correct result would be A. 35.9952.
