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3 years ago

A cylindrical soup can is 10cm tall and had a diameter of 6.36. What is the approximate volume?

1 answer:

5 0

V=317.53
in order to find the volume of a cylinder you use the formula V= (pi) (radius)^2 (height)
in this problem the diameter was 6.36 but you need the radius so you just divide 6.36 in half and you'll get 3.18
first you plug in the radius and height into the formula so it'll look like this V= (pi) (3.18)^2 (10) and get the answer which would be 101.12 then you times that by pi which is 3.14 and you will get 317.53 which is your answer

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Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that

m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

$y=a(x-c_1)(x-c_2)...(x-c_n)$

Where, a is a constant and $c_1,c_2,...,c_n$ are the roots of the polynomial.

Polynomial roots are 1 and 2. So, $(x-1)$ and $(x-2)$ are the factors of the polynomial.

Let the third root of the polynomial by c, then $(x-c)$ is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

$y=8(x-1)(x-2)(x-c)$

The graph passes through the point (4,5). Putting $x=4,y=5$ , we get

$5=8(4-1)(4-2)(4-c)$

$5=8(3)(2)(4-c)$

$5=48(4-c)$

Divide both sides by 48.

$\dfrac{5}{48}=4-c$

$c=4-\dfrac{5}{48}$

$c=\dfrac{192-5}{48}$

$c=\dfrac{187}{48}$

Therefore, the 3rd root on the polynomial is $\dfrac{187}{48}$ .

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2 years ago

Kelly works two jobs. She usually works at a retail store for 8 hours during the day and is paid $12.90 per hour by the store. I

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Answer:

i believe its 12.55

Step-by-step explanation:

if you add both number, 12.90 and 12.20, then divide by 2.

you'll will gain the same result

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3 years ago

Lamar used 7/8 of a cup of raisins to make snacks mix. he used 3/4 of a cup of raisins to make cookies what expression could be

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The answer is B.

In order to add the two values together, you must find the least common multiple for the denominators. The denominators are 8 and 4, and the least common multiple of 8 and 4 is 8. Because you have to multiply 4 by 2 to get 8, you must also multiply 3 by 2 to get 6. This will give you 6/8.

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2 years ago

Maxwell is taking out a loan for $8,750 for 2 years at an APR of 9.75%. What would be the finance charge to the nearest whole do

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Answer:

Step-by-step explanation:

Using the formula for calculating simple interest

SI = principal × rate × time/100

Given

Principal = $8750

Rate = 9.75%

Time = 2years

Substitute

Interest = 8750×9.75×2/100

Interest = 87.59×19.5

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Hence the finance charge to the nearest whole dollar is $1706

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3 years ago

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