Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3
Answer:
5 degrees
Step-by-step explanation:
Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.
Solve Algebraically
5x+23=7x+13
5x+10=7x
10=7x-5x
10=2x
<h2>x=5</h2><h2 />
It will be (-5, 3) so quadrant 2
How much are the owner's expenses for 10 days?
10 * 130 = $1300
How much money does the owner make selling pizzas per day?
200 * 3 = $600
How much money does the owner make selling sandwiches per day?
85 * 2 = $170
In one day, the owner sells 600 + 170 = $770 worth of pizza and sandwiches
Over the course of ten days, that is 10 * 770 = $7700
Profit = revenue - cost = 7700 - 1300 = $6400
There ya go
