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2 years ago

12

Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the

radius.

1 answer:

MAVERICK [17]2 years ago

5 0

Answer:

6cm

I hope it will be useful.

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1 tank of propane holds 5 gallons and will last 12 hours. how many gallons of propane is needed for 240 hours.

MAVERICK [17]

5 gallons x gallons

------------- = ----------------

12 hours 240 hours

using cross products

5 * 240 = 12 * x

1200 = 12 x

divide each side by 12

1200/12 = 12x/12

100 =x

You will need 100 gallons

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John measured the diameter of four steel rods. Compare his measurements, listed below. Which one is the largest?

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The largest steel rod is D. 0.25 inches.

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3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

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2 years ago