Hello :
<span>a single expression is : A = xy +zk
x : </span> width1 y : <span>length1
z : </span>width2 k : <span>length2
A : </span><span>the total area of the two rooms
note :
A1 = xy ........</span>area of the room 1<span>
A2 = zk </span>.......area of the room 2
Use KMF (Keep multiply flip)
keep the first fraction as it is
change sign to multiplication
flip numerator and denominator of last fraction
then finish
Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.
Exquisite.
All are Correct
My doubts do come from your last answer.
I think the complement should be 60° too