Answer:
80 degrees
Step-by-step explanation:
We can use the Central Angle Theorum, which states that if the vertex of the angle is the center of the circle, then the arc is the same measurement as the angle.
In this case, m<COB is 80 degrees, and the vertex is the center of the circle, which means that measure of arc CB is also 80 degrees
40 bikes. 120 times 40 equals 4800 divided by 2 because they pay for half the bike will be 2400
Answer:
Step-by-step explanation:
We assume your equations are intended to be ...

Then the profit equation is ...

The partial derivatives of profit with respect to x and y are zero when profit is maximized.
∂P/∂x = 0 = -2x +2y +2
∂P/∂y = 0 = 2x -18y +94
Simplifying, these equations are ...
Substituting the first into the second gives ...
x -9(x -1) = -47
-8x = -56
x = 7
y = 7 -1 = 6
The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.
Answer:

Step-by-step explanation:
Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.
The perimeter is:
[Equation 1]
We know that the longest side is 10 less than twice the middle side length. This can be expressed as:
[Equation 2]
And the middle side length is three less than three times the shortest side length. This is:
[Equation 3]
The steps are:
- Solve for "z" from the third equation:

[Equation 4]
- Substitute [Equation 4] into [Equation 1]
- Substitute [Equation 2] into [Equation 1]
Then:

- Solve for "y":

- Substitute this value into [Equation 2] and into [Equation 4]:

Answer:
x=9
Step-by-step explanation:
Everything is in picture