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3 years ago

8

Austin made punch by mixing 28 ounces of lemonade 14 ounce of orange juice and 28 ounces of ginger ale. what is the ratio of oun

ces of orange juice to total ounces of punch.

1 answer:

Shtirlitz [24]3 years ago

8 0

2:10
hope this helps!

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3 years ago

Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco

NikAS [45]

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165

so speed $\frac{dx}{dt} =25$

and $\frac{dy}{dt} =35$

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = $\frac{35\pi \pi }{60}$

y = $\frac{7\pi }{12}$

Now using the pythagorean :

$x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2$

<u>derivate the equation so we get :</u>

$x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\$ $165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}$

$\frac{dz}{dt} =25.387$ m/s

So Rate of change = <u><em>25.387 m/s</em></u>

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3 years ago