Tenaya earned 82 points on one math test and 94 points on the next test. Elena earned 94 points on the first test and then 82 po
1 answer:
Answer:
Total test score of Tenaya and Elena are same.
Step-by-step explanation:
Given:
Points earned by Tenaya on one math test = 82
Points earned by Tenaya on next math test = 94
Points earned by Elena on first math test = 94
Points earned by Elena on next math test = 82
We need to Compare the total test scores for Tenaya to the total scores for Elena.
Solution:
First we will find the Total test score of Tenaya and Elena.
Now we can say that;
Total test score of Tenaya is equal to sum Points earned by Tenaya on one math test and Points earned by Tenaya on next math test.
framing in equation form we get;
Total test score of Tenaya =
Total test score of Elena is equal to sum Points earned by Elena on one math test and Points earned by Elena on next math test.
framing in equation form we get;
Total test score of Elena =
Hence from we can say that Total test score of Tenaya and Elena are same.
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The detailed explanation of the question is provided in the attached image.
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Answer:
Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,
Therefore, the volume of earth removed to build the three tunnels is .