Let's say, the total sales is "x"... .so hmm on Plan A, he gets 350 plus 7% of "x", well, 7% is just (7/100) * x or 0.07x
now, on Plan B, he gets 436 plus 5% of "x", 5% of "x" is (5/100) * x, or 0.05x
he's better off with A, only if A is greater than B, namely,
A > B
and surely you know how much that is.
Given that QO is the radius and PQ is tangent to circle O, then ΔPQO is a right triangle. Hence the value of x will be obtained as follows:
Sum of angles in a triangle is equal to 180°. Thus
x+17+90=180
x+107=180
thus
x=180-107
x=73°
Answer: x=73°
It would be 175/1448 or 0.12085635......... hope this helped
When i answer this question before the answer was strong quadratic
Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:
sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x
These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with
cot²x - csc²x = -1
This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
