Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
D- It is an enlargement with a scale factor greater than 1.
From the pre-image to the image, the scale factor is 3.
Answer: 60%
Step-by-step explanation:
Since, According to the question, Last quarter, we successfully completed an average of about 5 chemical analyses per day.
Therefore initially our average = 5 chemical analyses per day.
Again, From the question, This quarter, we have increased this average to about 8 per day.
Therefore New average =chemical analyses 8 per day
Thus, Percentage change in the average = (Initial average - New average)×100/ initial average
= 
= 
= 60 %
Therefore, Percentage change in the average=60 %
Answer:allison
Step-by-step explanation:
