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jenyasd209 [6]
3 years ago
10

A square with a side length of 18 inches is dilated by a scale factor of 1/3. How long is the side length of the resulting squar

e?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

6 in

Step-by-step explanation:

The side length of the square is 18 inches.

If the this square is dilated by a scale factor of \frac{1}{3}, then the length of the resulting square can be calculated by multiplying the scale factor by the side length of the original square.

The side length of the resulting square is =\frac{1}{3}\times 18=6in

Therefore the resulting square is 6 inches long.

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A notebook has a perimeter of 36 inches and an area of 80 square inches. What are the dimensions of the notebook?
maw [93]
Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
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Lapatulllka [165]

Just set up a proportion with the original numbers and then the numbers you want to find like so: (x1/y1)=(x2/y2) and since you want to find the second y value, just leave y as a variable like so: (15/24)=(3/y) after this just cross multiply and get the answer: 15y=72.....y=4.8


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saul85 [17]

Answer:

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DochEvi [55]

Answer:

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There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

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