Answer:
.
Step-by-step explanation:
Answer:
6.67 feet
Step-by-step explanation:
The situation is as shown in the figure.
ON is the normal to the mirror at the point of incidence O
⇒ ∠BON = ∠DON = 90°
By the laws of reflection: angle of incidence = angle of reflection :
∠AON = ∠CON
⇒ ∠AOB = ∠COD
⇒tan(∠AOB) = tan(∠COD)
⇒
= ![\frac{CD}{OD}](https://tex.z-dn.net/?f=%5Cfrac%7BCD%7D%7BOD%7D)
⇒
= ![\frac{10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bx%7D)
⇒x =
=
= 6.67 ft
∴ Distance of the mirror from basketball goal is 6.67 ft
Answer:
The profit function is p(x)=700x-1150.
Step-by-step explanation:
The monthly expenses, in dollars, for x months of operation is given by the function
![f(x)=1600x+2385](https://tex.z-dn.net/?f=f%28x%29%3D1600x%2B2385)
The monthly revenue, in dollars, earned by the bakery is given by the function
![g(x)=2300x+1235](https://tex.z-dn.net/?f=g%28x%29%3D2300x%2B1235)
The formula for profit:
![Profit=Revenue-Cost](https://tex.z-dn.net/?f=Profit%3DRevenue-Cost)
Subtract the revenue and cost function to find the profit function.
![p(x)=g(x)-f(x)](https://tex.z-dn.net/?f=p%28x%29%3Dg%28x%29-f%28x%29)
![p(x)=2300x+1235-(1600x+2385)](https://tex.z-dn.net/?f=p%28x%29%3D2300x%2B1235-%281600x%2B2385%29)
![p(x)=2300x+1235-1600x-2385](https://tex.z-dn.net/?f=p%28x%29%3D2300x%2B1235-1600x-2385)
On combining like terms we get
![p(x)=(2300x-1600x)+(1235-2385)](https://tex.z-dn.net/?f=p%28x%29%3D%282300x-1600x%29%2B%281235-2385%29)
![p(x)=700x-1150](https://tex.z-dn.net/?f=p%28x%29%3D700x-1150)
Therefore the profit function is p(x)=700x-1150.
Answer:
90 degrees
Step-by-step explanation:
its a 90 degrees angle unlike angle EFC. I hope that helps.
Happy holidays to you too!