Hi!
There are a few ways we can do this. The first one is this:
The ratios 18:7 and 2:1 can be represented as fractions: and
<em>To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are </em><u><em>not equal</em></u>.
<em>Therefore they are not proportions.</em>
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The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:
<em>To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.</em>
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<em>Therefore they are not proportions.</em>
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Hope this helps! Have a great day! Let me know if you need any other help :D
Answer:
Area of the resulting rectangle = 23.375 inch²
Step-by-step explanation:
After 1 fold width or length reduces to half.
Area = Length x width
So after 1 fold area will reduce to half.
So we have
Initial area = 8.5 x 11 = 93.5 inch²
Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is
Number of folds = 2
Area after 2 folds = 23.375 inch²
Area of the resulting rectangle = 23.375 inch²
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!