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3 years ago

Absolute 10.7 of percent 11

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer: = 11.88

This is a 3 step / 4 show workings.

10.7 + Percentage increase = 11%

10.7 + (11% × 10.7) = 10.7 + 11% × 10.7

(1 + 11%) × 10.7 = (100% + 11%) × 10.7

111% × 10.7 = 111 ÷ 100 × 10.7

111 × 10.7 ÷ 100 = 1,187.7 ÷ 100

11.877 ≈ 11.88

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3 years ago

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Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

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u = 27 m/s is the initial velocity, upward

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We want to find the time t at which the position of the rock is

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Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

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The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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#LearnwithBrainly

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