Exterior
For example
You have a triangle with angles 20 30 and 130
The exterior angle of 130 is 50 as 130+50=180
Angles on a straight line =180
20+30=180-130
Answer:
Step-by-step explanation:
1) Number of white chocolate bars = x
Number of dark chocolate bars = y
Total bars = 15
x + y = 15 --------------(I)
Total cost = Php. 340
20x + 25y = 340 ----------------(II)
2) We can use elimination method to solve this equations.
Multiply equation (I) by (-20) and then add the equations.
(I)* (-20) -20x -20y = - 300
(II) <u>20x + 25y = 340 </u> {Now add and x will be eliminated}
5y = 40
y = 40/5
y = 8
Substitute y = 8 in equation (I)
x + 8 = 15
x = 15 - 8
x = 7
3) Number of dark chocolate bars = 8
Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is

Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is
).

So the radius is 3.
Now that we know the radius, we can find the area by using the equation
.

Hope this helped!
A) x/6=9
Subtract 6 from both sides, x=3
B) x/-4=-3
Add 4 to both sides, x=1
C) x/-5=7
Add 5 to both sides, x=12