emily paints at a constant rate. she can paint 32 square feet in 5 minutes. what area, A, in square feet, can she paint in t minutes? a. write the linear equation in two variables that represents the number of square feet Emily can paint any given time interval.

A(t) = (6.4 ft^2/min)*t

Step-by-step explanation:

We know that Emily paints at a constant rate, and she can paint 32 ft^2 in 5 minutes.

Then if we take the quotient of these two quantities, we will find the amount she can paint in one minute, this is:

32ft^2/5min = (32/5) ft^2/min = 6.4 ft^2/min.

Then if she paints for t minutes, the area that she can cover can be written as:

A(t) = (6.4 ft^2/min)*t

This is the linear equation we wanted to find.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation: 2