Answer:
255.13 or 255.125
Step-by-step explanation:
2.5 times 3.14 equals 7.85
7.85 times 32.5
30 is 20% of 150.
30/x = 20/100
30 * 100 = 20 * x
(30 * 100)/20 = x
x = 150
Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
364.5 because 9 to the third power is 729. 729 divided by 2 is 364.5
Answer:
width is 6 ft, length is 24 ft
Step-by-step explanation:
We can set up 2 equations to help us solve this.
Equation 1: "The area is 144 square feet" gives us
LW = 144 (area of a rectangle)
Equation 2: "the width is 1\4 of the length" give us
W = L/4
We can plug the second equation into the first equation...
Since W = L/4, we get
L(L/4) = 144 (W becomes L/4)
Now solve for L
L²/4 = 144
L² = 624 (multiply both sides by 4)
L = 24 ft (take the square root of each side)
Since L = 24, and W = L/4,
W = 24/6, so W = 6 ft