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3 years ago

A cylinder has a volume of 1884 cm^3. Find the same radius and height as the cylinder

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

628

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The volume of a cone is

V = 1/3 pi r^2 h

If the radius and height are the same

The cone will have 1/3 the volume of a cylinder

The cone has 1/3 the volume of a cylinder given the same height and radius

1/3(1884) =628

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jonny [76]

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

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2 years ago

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Can you help me please??

dusya [7]

Answer:

y = $\frac{4}{5}x+\frac{54}{5}$

Step-by-step explanation:

Equation of a line has been given as,

$y=\frac{4}{5}x+\frac{3}{5}$

Here, slope of the line = $\frac{4}{5}$

y-intercept = $\frac{3}{5}$

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By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = $\frac{4}{5}$

Since, slope intercept form of a line is,

y = mx + b

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y = $\frac{4}{5}x+b$

Since, this line passes through a point (-6, 6),

6 = $\frac{4}{5}(-6)+b$

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b = $\frac{54}{5}$

Equation of the parallel line will be,

y = $\frac{4}{5}x+\frac{54}{5}$

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3 years ago

Find the linear approximation of f(x)=lnx at x=1 and use it to estimate ln(1.38).

RideAnS [48]

$\bf f(x)=y=ln(x)\qquad 
\begin{cases}
x=1\\
y=ln(1)\to y=0
\end{cases}\\\\
-----------------------------\\\\
\left. \cfrac{dy}{dx}=\cfrac{1}{x} \right|_{x=1}\implies 1\impliedby m
\\\\\\
\textit{now, we know that }
\begin{cases}
x=1\\
y=0\\
m=1
\end{cases}\implies y-0=1(x-1)\implies y=x-1$

now, you're asked to use it when ln(1.38), which is just another way of saying x = 1.38

so set x = 1.38 and see what "y" is

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Sonja [21]

Answer:

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Step-by-step explanation:

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