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VashaNatasha [74]
3 years ago
7

A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic uni

t, what is the volume of the resulting three-dimensional figure? Approximate as 3.14.
Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.

The volume of the cylinder is

V_{cylinder}=\pi r^2\cdot H.

Then

V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.

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URGENT PLEASE HELP!!!!!
telo118 [61]

(1)

we are given

\frac{y}{6} =x

we can  find for y

multiply both sides by 6

\frac{y}{6}*6 =6*x

y=6x

we can see that y is directly proportional to x

so, option-D........Answer

(2)

y varies inversely with x

so, we can write it as

y=k\frac{1}{x}

now, we are given

y=5 when x=2.5

so, we can plug it here

5=k\frac{1}{2.5}

and then we can solve for k

5*2.5=2.5*k\frac{1}{2.5}

k=12.5

now, we can plug back

y=\frac{12.5}{x}

we can plug x=20

y=\frac{12.5}{20}

y=0.625.............Answer

(3)

we are given

The current, I, in a circuit varies inversely with the resistance, R

so, we can write it as

I=\frac{k}{R}

we have R=12 when I=3

so, we can plug it

3=\frac{k}{12}

now, we can solve for k

3*12=12*\frac{k}{12}

k=36

now, we can plug back

I=\frac{36}{R}

we can plug R=6

I=\frac{36}{6}

I=6................Answer


6 0
3 years ago
What is 4 3/4 + -5/8
Alona [7]
I think is 12 1/7 I'm not sure it's correct but I think it is
4 0
3 years ago
Need help please there is the Question
Levart [38]
1 and 1/6 if the man had six horses it would be one because 6 1/6'a make one
5 0
3 years ago
Read 2 more answers
A hummingbird can travel up to 15 meters per second what is the hummingbirds speed in miles per hour
dexar [7]
I think it's 240 mile per hour

60sec.= 1min

60min.=1hour

60×60=3600secs.

3600÷15=240
5 0
4 years ago
I need help plz and thank u sm
Alchen [17]

Answer:

5x + 3

Step-by-step explanation:

Since we can see DC is the median of Triangle ABC

So it breaks the into two equal parts

Given

AD = 2x + 5

BD = 3x - 2

Now

AB = AB + BD

= 2x + 5 + 3x - 2

= 5x + 3

Hope it will help :)❤

7 0
3 years ago
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