Answer:
L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft
Step-by-step explanation:
We are given that
Area of rectangular floor=84 square feet
We have to find the possible length and width of for Angelo's clubhouse.
Area of rectangle=![length\times breadth](https://tex.z-dn.net/?f=length%5Ctimes%20breadth)
Using the formula
Area of rectangular floor for clubhouse=84 square feet
![Length(L)\times breadth(B)=84](https://tex.z-dn.net/?f=Length%28L%29%5Ctimes%20breadth%28B%29%3D84)
Factor of 84 are
1,2,4,6,7,12,14,21,42,84
Therefore, possible dimension of rectangular floor
![1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft](https://tex.z-dn.net/?f=1ft%5Ctimes%2084ft%2C2ft%5Ctimes%2042ft%2C4ft%5Ctimes%2021ft%2C6ft%5Ctimes%2014ft%2C7ft%5Ctimes%2012ft%2C12ft%5Ctimes%207ft%2C14ft%5Ctimes%206ft%2C21ft%5Ctimes%204ft%2C42ft%5Ctimes%202ft%2C84ft%5Ctimes%201ft)
L=1 ft and B=84 ft
L=2 ft and B=42 ft
L=4ft and B=21ft
L=6ft and B=14 ft
L=7ft and B=12ft
L=12 ft and B=7ft
L=14ft and B=6 ft
L=21 ft and B=4 ft
L=42 ft and B=2 ft
L=84 ft and B=1 ft
Answer:
25, 26, 27
Step-by-step explanation:
x+x+1+x+2=x+53
3x+3=x+53
2x=50
x=25
so x=25, x+1=26, x+2=27
Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer: Circumcenter
Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.
Answer:
yes, no, no, yes, yes
Step-by-step explanation: