Answer:
It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.
When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.
Parallelogram ABCD ~ Parallelogram EFGH
Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.
So, Segment FG will be proportional to Segment BC.
Answer:
3 7/8
Step-by-step explanation:
_____ + 5 3/4 = 9 5/8
x + 5 3/4 = 9 5/8
Subtract 5 3/4 from each side
x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4
x = 9 5/8 - 5 3/4
Get a common denominator of 8
5 3/4 *2/2 = 5 6/8
x = 9 5/8 - 5 6/8
We need to borrow 1 from the 9 in the form of 8/8
x= 8 + 8/8+ 5/8 - 5 6/8
x = 8 13/8 - 5 6/8
= 3 7/8
Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
