Answer:
The area of triangle ACE before dilation is: 30 square inches
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The length of the image can be determined by multiplying the length of the original point by a certain scale factor.
Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.
Thus, it means the dilated area is 6 times the area before dilation.
Let x be the pre-dilation area
As the dilated area is 6 times the area before dilation, so
6x = 180
divide both sides by 6
6x/6 = 180/6
x = 30 square inches.
Therefore, the area of triangle ACE before dilation is: 30 square inches
Answer:
The volume in liters is 2.041165665 liter.
Step-by-step explanation:
Given : Clare wants to mail a package that weighs 
pounds.
To find : What could be its volume in liters ?
Solution :
We know that,
Pound (lb) is a unit of Weight used in Standard system.
Liter (l) is a unit of Volume used in Metric system.
To convert 1 pound into liter is
1 pound (lb) = 0.45359237 liter (l)
pounds in simpler fraction is 
Converting into liter,
pound (lb)=
liter (l)
pound (lb) = 2.041165665 liter (l).
Therefore, the volume in liters is 2.041165665 liter.
(2/3) / 3 = 1/x...2/3 to 3 lawns = 1 to x lawns
cross multiply
(2/3)(x) = (3)(1)
2/3x = 3
x = 3 * 3/2
x = 9/2 or 4 1/2 lawns can be cut with a full tank of gas
Step-by-step explanation:
260 square inches
is the right answer
The answer is
To find how many ounces you need to make, you multiply the number of packs by how many ounces.
So, it would look like:
36*2.35=84.6
15*10.8=162
Then you add the ounces together and you have your answer:
162+84.6=246.6 ounces
