Express the product as a whole number.<br><br> 312×28=

100 POINTS!!!!!

Oksanka [162]

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = $\frac{diameter}{2}$

= $\frac{6}{2}$ = 3 in

Diameter of cylinder B = 9 in,

its radius = $\frac{diameter}{2}$

= $\frac{9}{2}$ = 4.5 in

Thus,

a. circumference of a circle = 2 $\pi$ r

Circumference of cylinder A = 2 $\pi$ r

= 2 x $\pi$ x 3

= 6 $\pi$ in

Circumference of cylinder B = 2 $\pi$ r

= 2 x $\pi$ x 4.5

= 9 $\pi$

Ratio of their circumference = $\frac{circumference of cylinder A}{circumference of cylinder B}$

= $\frac{6\pi }{9\pi }$

= 2:3

b. The surface area of a cylinder = 2 $\pi$ rh

the surface area of cylinder A = 2 $\pi$ rh

= 6 $\pi$ h

the surface area of cylinder B = 2 $\pi$ rh

= 9 $\pi$ h

The ratio of their surface areas = $\frac{surface area of cylinder A}{surface area of cylinder B}$

= $\frac{6\pi h}{9\pi h}$

= 2:3

c. Volume of a cylinder = $\pi$ $r^{2}$ h

volume of cylinder A = $\pi$ $r^{2}$ h

= $\pi$ x $3^{2}$ x h

= 9 $\pi$ h

volume of cylinder b = $\pi$ $r^{2}$ h

= $\pi$ x $4.5^{2}$ x h

= 20.25 $\pi$ h

The ratio of their volume = $\frac{volume of cylinder A}{volume of cylinder B}$

= $\frac{9\pi h}{20.25\pi h}$

= 4:9

6 0

2 years ago

Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.

Bingel [31]

Answer:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

Step-by-step explanation:

For this case we want to find the following integral:

$\int_{-\infty}^{-5} x^{-2}dx$

And we can solve the integral on this way:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}$

$\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}$

And if we evaluate the integral using the fundamental theorem of calculus we got:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

The integral converges to $\frac{1}{5}$

8 0

2 years ago

The sum of two whole numbers is 84, and their positive difference is 18.What are the two numbers? Please help

Vlad1618 [11]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which probability distribution table corresponds with this frequency distribution table

nlexa [21]

Answer:

A.

$\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}$

Step-by-step explanation:

First find the sum

$\sum f=4+6+1+4+5=20.$

Now, find the probabilities:

$Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;$
$Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;$
$Pr(x=3)=\dfrac{1}{20}=0.05;$
$Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;$
$Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.$

Hence, the frequency distribution table is

$\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}$

4 0

2 years ago

Can you tern this into a equation

Aleks [24]

Answer:

n + p x 3 = t

Step-by-step explanation:

n= Navita's money

p= Pawan's money

t= total money

8 0

2 years ago

Express the product as a whole number. 312×28=