I’m not sure how your class works, but usually if they are circled it means you only have to do the circled ones. GCF always stands for greatest common factor
I've got three photos for the answers but they don't include 31 or 32.
The ratio of height : shadow =44/1313
Therefore height of the tree,x=3434*(44/1313)
=115.08 ft
If you meant 13 and 34 as the length of shadows respectively, then also x=115.08 ft
First calculate the circumference. Usually this is the diameter times pi, but since we are told to estimate pi, the circumference equals 56 * 22/7 or 176 feet.
In 4 minutes, 4 * 60 = 240 seconds pass. In this time, a 20 second period will occur 240/20 = 12 times.
So we know that the rider rotates 12 times and each rotation takes them 176 feet, meaning that they will travel 12 * 176 = 2112 feet
The answer is: [C]: " 3 " .
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Explanation:
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4x - 1 = 2x + 5 ; Solve for "x" ;
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Subtract "2x" from each side of the equation; and add "1" to each side of the equation:
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4x - 1 - 2x + 1 = 2x + 5 - 2x + 1 ;
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2x = 6 ;
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Divide EACH side of the equation by "2" ; to isolate "x" on ONE side of the equation; and to solve for "x" ;
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2x / 2 = 6 / 2 ;
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x = 3 .
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The answer is: [C]: " 3 " .
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