Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' = 
Thus, the coordinates of the resulting point B' is (-1,1)
Area = l * w
A = 10 1/2 * 12 5/8
A = 21/2 * 101/8 = 2121/16
A = 132.56 ft²
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.
The cabinet got do deside I think sorry if I’m wrong
This is a chemistry problem btw. But, either way, the formula for density is mass per unit of volume. To solve for volume, bring the D over to get M/D = V
(327g)/(1.05g/ml) is the equation. Grams cancel and you’re stuck with 311.428571mL. That isn’t your answer tho, because that isn’t the right amount of sig figs. We have two figs at the least so the right answer would be 311.42 or 311.43mL. We want it in scientific notation, so move the decimal place between 3 and 1. That’s two spots to the left, so the power would be 2. C is your right answer
My chem professor told me to round to even instead of rounding up all the time. Either way, the hundreds place is always a percent error of plus or minus 0.01