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Greeley [361]
3 years ago
8

A circular running track is 1/2 a mile long. Elena runs on this track, completing each lap in 1/16 of an hour. What is Elena's r

unning SPEED? Include the unit of measure.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

8miles per hour

Step-by-step explanation:

1/16 of hour = 3 minutes and 45 seconds

if the track is 1/2 mile long and elana can run 1 lap in 3 minutes and 45 seconds then she can run 1 mile in 7 and a half minutes.

60/7.5 = 8

Therefore elena is running at 8miles/hour  our and is really slow

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7 0
3 years ago
Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE
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Answer:

AE = 11.76 units

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20

To find AE :

In ΔABC and ΔACE,

m∠ABC = m∠ACE ( Given )

∠A = ∠A    ( Common angle for both the triangles )

By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

\implies \frac{AC}{AB}=\frac{CE}{BC}=\frac{AE}{AC}\\\\\implies\frac{AC}{AB}=\frac{AE}{AC}\\\\\implies\frac{20}{34}=\frac{AE}{20}\\\\\implies AE=\frac{20\times 20}{34}\approx 11.76

Hence, AE = 11.76 units

4 0
3 years ago
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