John wanted to impress his friends by winning the 200 yard dash at the track meet. if he runs 8.2 feet per second, how long will
2 answers:
Answer:
Time taken by John to complete the dash will be 73.2 seconds
Step-by-step explanation:
Length of the dash is 200 yards
We will convert this length from yards to feet first.
∵ 1 yard = 3 feet
∴ 200 yards = 3×200
= 600 feet
Since John runs with a speed of 8.2 feet per second then we have to find the time to complete the dash.
Time =
=
= 73.17 seconds
≈ 73.2 seconds
Time taken by John to complete the dash will be 73.2 seconds.
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Answer:
Step-by-step explanation:
Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
