In the figure below, Angle ADC measures 50 degrees, and Angle BAC measures 90 degrees. What is the measure of Angle BAD?

1 answer:

6 0

Well I do not see the figure but I will assume it is a triangle. there are 3 angles in a triangle. Those 3 angles add up to 180. Since we know this, you can use the equation
angle1 + angle2 + angle3 = 180

we have 2 of the angles so with a little algebra we can solve for the last angle like this
180 - angle1 - angle2 = angle3

plug in 2 angles
180 - 50 - 90 = angle3

So answer is
angle3 = 40 degrees

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A. $18

B. $200

C. $p\in (16,20)$

Step-by-step explanation:

Function:

$f(p) = -50p^2 + 1,800p - 16,000$

Parts A and B:

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

$p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200$

The price that generates the maximum profit is $18

The maximum profit is $200

Part C:

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all $p\in (16,20)$ , so the positive profit is for $p\in (16,20)$

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.