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09 Nov 2021, 03:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
73% (02:43) correct
27%
(02:31)
wrong
based on 126
sessions
History
Date
Time
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Not Attempted Yet
Emily and Tammi must both run from point A to reach the finish line, which stretches from the origin to point B, but they have to run on two different paths, where Emily will end up 4 yards away from Tammi on the finish line. If Tammi ran a total of 10 yards, how many yards more did Emily run than Tammi?
A. 2
B. \(4\sqrt{2}−10\)
C. \(6\sqrt{5}−10\)
D. \(4\sqrt{2}−8\)
E. \(6\sqrt{5}\)
Attachment:
1.png [ 1.22 KiB | Viewed 4570 times ]
09 Nov 2021, 17:31
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Name where Emily end up on the finish line is point E, where Tammy end up is point T.
We have:
OA = 6
AT = 10
So we can calculate OT = 8 (because \(6^2\) +\( 8^2 \)= \(10^2\))
Emily end up 4 yards away from Tammi on the finish line, which means TE = 4
It makes OE = 8 + 4 = 12
So Emily run total: AE = \(\sqrt{6^2 + 12^2}\) = \(\sqrt{36 + 144}\)= \(\sqrt{180}\) = \(\sqrt{4 * 9 * 5}\) = 6\(\sqrt{5}\)
Emily run more than Tammy = AE - AT = 6\(\sqrt{5}\) - 10
Option C
We have:
OA = 6
AT = 10
So we can calculate OT = 8 (because \(6^2\) +\( 8^2 \)= \(10^2\))
Emily end up 4 yards away from Tammi on the finish line, which means TE = 4
It makes OE = 8 + 4 = 12
So Emily run total: AE = \(\sqrt{6^2 + 12^2}\) = \(\sqrt{36 + 144}\)= \(\sqrt{180}\) = \(\sqrt{4 * 9 * 5}\) = 6\(\sqrt{5}\)
Emily run more than Tammy = AE - AT = 6\(\sqrt{5}\) - 10
Option C
