Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Silver for x
-3 - (-8) - (-2) = x
Switch the equation to make x on the right
x = -3 - (-8) - (-2)
x = 5 - (-2)
x = 7
• A negative minus a negative will always evaluate to a positive.
• A positive minus a negative will always evaluate to a positive.
Answer:
19.7%
Step-by-step explanation:
they can rent the boat for 4 hours if they spend 700 dollars.
The price that will maximize profit is $ 5.50.
Since an auditorium has seats for 1200 people, and for the past several days, the auditorium has been filled to capacity for each show, and tickets currently cost $ 5.00 and the owner wants to increase the ticket prices, and he estimates that for each $ 0.50 increase in price, 100 fewer people will attend, to determine which is the price that will maximize profit, the following calculation must be made:
- 1200 x 5 = 6000
- 1100 x 5.5 = 6050
- 1000 x 6 = 6000
Therefore, the price that will maximize profit is $ 5.50.
Learn more in brainly.com/question/25313241
