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3 years ago

A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is

1 answer:

6 0

$\bf r=\cfrac{s}{\theta}\qquad 
\begin{cases}
r=radius\\
s=\textit{arc's length}\\
\theta=\textit{central angle in radians}\\
----------\\
s=180\\
\theta=\textit{45 revolutions}\\
\qquad 2\pi \cdot 45\\
\qquad 90\pi 
\end{cases}\implies 
\begin{array}{llll}
r=\cfrac{180}{90\pi }\\\\
r=\cfrac{2}{\pi }\\\\
diameter=2r\\\\
diameter=\cfrac{4}{\pi }
\end{array}$

You might be interested in

144 divided by 8 is 18 what is it in distributive property

OLga [1]

It is (1*8) + (10+8) which equals 144 by dividing it would be 144 divided by (1*8) which will give u 18. You can also do it the opposite way. Hope it helps :)

3 0

3 years ago

Which of the following rational functions is graphed below?

lidiya [134]

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0.

In this graphic:

Dashed vertical lines at: $x = -3, x = 7$ , thus, for $x - (-3) = x+3$ and $x - 7$ the denominator is zero.

Thus, the function graphed is:

$F(x) = \frac{1}{(x+3)(x-7)}$

And the correct answer is given by option C.

To take a look at a problem with asymptote, you can check this item brainly.com/question/4084552.

6 0

3 years ago

The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

Given:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

Volume of the cylinder:

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

Volume of the cone:

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0

3 years ago

You earn 7 percent interest on your deposit of 2479 dollars. How much money do you earn

Rainbow [258]

Answer $173.53
Method
Times 0.07 and 2479 together

4 0

3 years ago

What is the definition of property of equality

AnnZ [28]

Answer: Addition property of equality, Subtraction property of equality, Multiplication property of equality, and Division property of equality.

Step-by-step explanation:

Addition property of equality is adding the same number to both sides of an equation does not change the equation.

a+c=b+c

Example: t-6=13

add 6 both sides of an equation.

t-6+6=13+6

answer: t=19

________________________________________________________

Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

11=x+5

switch sides of equation

x+5=11

subtract by 5 both sides of an equation.

x+5-5=11=5

answer: x=6

___________________________________________________________

Multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.

a*c=b*c

t/5=3

example:

5/1*t/5=3*5

then multiply on the right side.

t=3*5

answer: t=15

______________________________________________________

Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a/c=b/c for c≠0

10a/10=130/10

divide by 10 both sides of an equation.

10a/10=130/10

simplify.

130/10=13

answer: a=13

_____________________________________________

Hope this helps!

Thanks!

8 0

4 years ago