1)<span>
960 square feet</span>
2) B. 25 cm ^2The area of a regular pentagon can be found using the formula.
s=side length
A≈960 square feet
The apothem of a square is half of the side length. 2.5*2=5. 5^2 = 25cm^2
Independent-a variable (often denoted by x) whose variation does not depend on that of another
dependant-a variable (often denoted by y) whose value depends on that of another.
Hey there :)
Let us change the sentence into mathematics:
Area of rectangle = 35 m²
Length of rectangle is 3 m more than twice the width = 3 + 3w
Width = w
We know the area formula of a rectangle
Area = length × width
Dimensions of the rectangle are:
35 = w ( 3 + 2w )
35 = 3w + 2w²
Take all values to one side and equate to 0
2w² + 3w - 35 = 0
Factor:
( 2w - 7 ) ( w + 5 ) = 0
w =
or w = - 5 ( Reject because lengths can never be negative )
Therefore the dimensions are:
Width = 3.5 mLength = 3 + 2 ( 3.5 ) = 10 m
A reflection is a transformation where the mirror image of a figure is shown directly opposite its line of reflection.
To find an image that has been reflected across the line y = x, switch the x- and y-coordinates.
Therefore, the rule for reflecting an image across the line y = x can be described as (x, y) → (y, x).
Now, apply rule to coordinates ABC:
A': (2, 3)
B': (1, -4)
C': (-2, -3)