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2 years ago

A soup can has a diameter of 9.8 cm and a height of 13.2 cm. What is the approximate volume of 12 soup cans?

Mathematics

1 answer:

babymother [125]2 years ago

8 0

Answer:

about 11,948.05 cubic cm

Step-by-step explanation:

$12 \times \pi( {4.9}^{2} )(13.2) = 11948.05$

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What is an equation of the line that passes through the point ( 8 , − 4 ) and is parallel to the line x − 4 y = 12 x−4y=12?

Natasha2012 [34]

Answer:

as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24

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3 years ago

Find FD if the building is 75 feet tall. Round your answer to the nearest tenth

atroni [7]

If you round 75 to the nearest tenth it would be 80

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3 years ago

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

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3 years ago

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3 years ago

The length of a rectangle with area 38 in2 depends on its width. Write the formula that describes the length of the rectangle as

Ostrovityanka [42]

Answer:

L = 38/W

Step-by-step explanation:

The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...

A = LW

38 = LW

Then the length can be found by dividing the equation by W:

L = 38/W

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3 years ago