Answer:
x = 5
Therefore, when you sell 5 units, the revenue and the production cost would be equal.
Step-by-step explanation:
Given
C represents the cost in dollars
C=15x+150
R represents the revenue in dollars
R=45x
To determine
What is the break-even point?
We know that the cost gets equal to revenue at the break-even point.
i.e.
C = R
substitute C=15x+150 and R=45x
15x+150 = 45x
45x - 15x = 150
30x = 150
divide both sides by 30
30x/30 = 150/30
x = 5
Therefore, when you sell 5 units, the revenue and the production cost would be equal.
Step-by-step explanation:
Given triangle is of the measure of 30°, 60°, 90° triangle.
x is opposite to 60° angle and y is opposite to 30° angle.
According to the 30°, 60°, 90° triangle theorem:

Let's call the smaller side
. This means that the other side of the rectangle is
.
In this problem, we are trying to find the lengths of the sides. The problem gives us someinformation about the sides, but that's really it. However, the problem also let's us know that the diagonal of the rectangle (the line connecting opposite corners of the rectangle) is 34 cm long.
This fact is very important, because we can actually make a triangle, with the smaller side, bigger side, and the diagonal of the rectangle. Additionally, since we are working with rectangles, we know that the sides form a right angle. Since we are constructing a triangle with the sides as the legs, we know that we are going to be constructing a right triangle, which means that we can work with Pythagorean's Theorem.
Remember that Pythaogrean's Theorem is:

and
are the lengths of the legs of the triangle
is the length of the hypotenuse
Applying the Pythagorean Theorem to this problem, we get:

Let's simplify and solve for
:


- Simplify left hand side and evalutate


- Subtract 1156 from both sides of the equation and combine like terms


- Apply the Zero Product Property to solve for


is an extraneous solution because you can't have a negative side length
We have now found that the smaller side is 16 cm long. Since the larger side is 14 cm longer, it can be found as shown:

The sides are length 16 cm and 30 cm.
Answer:
i got 1200 not sure ifs right tho
Step-by-step explanation:
.333333.........% i cant write the little mark above it but it goes on continuosly.