Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
ANSWER
b=11
EXPLANATION
The given quadratic equation is

We expand to get:

We simplify further by combining the x terms.

This is the standard form.
Comparing to

We have b=11
Answer:
Pete's: 
Carla's: 
Step-by-step explanation:
Let's assume that
is the amount of rooms painted, and 
For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.
They also charge 20$ per room, meaning that we will multiply 20 by
, the amount of rooms painted.
This gets us the function 
For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.
They also charge $40 a room, meaning we will multiply 40 by
, the amount of rooms painted.
So the function is
.
Hope this helped!