cutielove2912
02.03.2021 •
Mathematics
A pendulum is swinging back and forth. After ttt seconds, the horizontal distance from the bob to the place where it was released is given by \qquad H(t) = 7 - 7 \cos \left(\dfrac{2\pi (t-2)}{20}\right)H(t)=7−7cos( 20 2π(t−2) )H, left parenthesis, t, right parenthesis, equals, 7, minus, 7, cosine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 20, end fraction, right parenthesis. How often does the bob cross its midline? Give an exact answer
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Ответ:
Every 10 seconds
Step-by-step explanation:
The bob crosses its midline whenever cos(2π(t-2)/20)=0.
Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:
2π(t-2)/20 = ±π/2 + 2πn
t-2 = ±5+20n
The solutions are when t = -3, 7, 17, 27, 37, ...
Therefore, the bob passes its midline every 10 seconds.
Ответ:
$6.6
Step-by-step explanation:
you want to find out what 40% of the original price is ($11)
100% = 11
10%= 1.1
to get 40% you times it by 4
40%= 4.4
you then have to take away the sale reduction from the original
11- 4.4 =$6.6