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2 years ago

Pat ran 18/24 of the distance to the park what is the fraction in simplest form

Mathematics

2 answers:

professor190 [17]2 years ago

5 0

Well, lets look at the greatest common factor. 18 and 24 both go into 6 evenly and cannot go into 7 evenly, so 6 is the greatest common factor. Then divide both the numerator and denominator. 18÷6=3 and 24÷6=4. The new fraction is 3/4.

Nikitich [7]2 years ago

3 0

18/24 can both be divided by 6, so it's 3/4

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Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

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Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

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