The ratio of one triangle to the other (because they are similar, since the top angles are both 44 degrees and the two sides on the other sides of them are the same) is 12:8, or 3:2.
So therefore, we can say it's 9:6, so DE is 6.
300 cookies were ordered to start.
We can tell this because we know 12% is equal to 36. Because this is true, we can set up a proportion to solve. All proportions can be set up with the small number on top and the total on the bottom. This will help you solve for the missing number, which is in this case the total number of cookies. Let x be the total number of cookies.
Percentage/total percentage = cookies/cookies total
12/100 = 36/x
Now we can cross multiply to solve.
(100)(36) = (12)(x) ----> multiply
3600 = 12x ---> divide by 12
300 = x
The places move over one to the right.
Hope this helps! :)
Answer:
87.4%
Step-by-step explanation:
The radius to the top of the atmosphere as a fraction of the moon's radius is ...
(2575 +600)/2575 ≈ 1.23301
The ratio of the moon's volume with atmosphere to the moon's volume without is the cube of this, or 1.87456
Then the ratio of the atmosphere's volume to the moon's volume is ...
(1.87456 -1)/1 = 0.87456
Atmospheric haze is about 87.4% of the moon's volume.
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We have assumed that the desired ratio is to the solid moon's volume, not the volume of moon and atmosphere together. The latter ratio would be 0.875 to 1.875 or about 46.7%.
