Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
Answer:$2.7 dollars per piece
Step-by-step explanation: Divide 113.40 by 42
The first answer is correct as the dot is on -34.5 and the bar is shaded to its left, therefore, x is less than -34.5
Hope this helped :)
Answer:
I think it changed from 36x to 48x
Depending on how you look at it, it could have changed from 3x to 4x or 36x to 48x.
If they said it was 18 feet instead of 18 inches, it would be 3x or 4x, but they had it as inches.
18 inches = 1.5 feet
72/1.5 = 48
54/1.5 = 36
So originally, it would have been a scale of 1 in : 36in , but it changed to 1 in : 48 in
Sorry if this was confusing.
Answer:
125 Dolphins
Step-by-step explanation:
The number of dolphins varied linearly with the number of fish.
The number of dolphins = D
The number of fish = F
Hence:
D ∝ F
D = kF
When 400 fish were present 250 dolphins appeared
Solving for k
250 = 400k...... Equation 1
Also
when 300 fish were present, 200 dolphins appeared.
200 = 300k...... Equation 2
So: we find k = Constant of Proportionality
250 = 400k...... Equation 1
200 = 300k...... Equation 2
We Subtract Equation 2 from Equation 1
50 = 100k
k = 50/100
k = 1/2
How many dolphins would appear if 250 fish were present?
D = kF
D = 1/2 × 250
D = 125 Dolphins
