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3 years ago

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A trash can in the shape of a cylinder has a radius of 26 cm and a height of 39 cm. Which of the following is closest to the vol

ume of the trash can?

1 answer:

My name is Ann [436]3 years ago

5 0

Answer:

The volume of cylindrical trash is 82,782.96 cm³ .

Step-by-step explanation:

Given as :

The shape of the trash is cylinder

The radius of cylinder = r = 26 cm

The height of cylinder = h = 39 cm

Let The volume of cylindrical trash = v cm³

<u>Now, According to question</u>

volume = $\Pi \times radius^{2}\times height$

where $\pi$ = 3.14

So, v = 3.14 × r² × h

Or, v = 3.14 × (26)² × (39)

Or, v = 3.14 × 26,364

∴ v = 82,782.96 cm³

So, volume of cylindrical trash = v = 82,782.96 cm³

Hence, The volume of cylindrical trash is 82,782.96 cm³ . Answer

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Answer:

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Step-by-step explanation:

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2 years ago

y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol

TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

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2 = c1cos0+c2sin0

2 = c1 + 0

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Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

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Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

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y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

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3 years ago

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3 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

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so equation becomes

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$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

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$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

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4 0

3 years ago

HELP 99 PTS=50 PTS Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than t

iren [92.7K]

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

7 0

3 years ago

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