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3 years ago

8

Find the volume of the hemisphere with a diameter of 2

1 answer:

inessss [21]3 years ago

6 0

If the diameter is 2 and the radius is 1 then the volume is V = 2.0943951 m^3

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8. The Last Supper

Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

$n = 1 * 2 * 3! * 3! * 4!$

Evaluate the product

$n = 1728$

Hence, there are 1728 possible sitting arrangements

Read more about permutation at:

brainly.com/question/12468032

7 0

2 years ago

Lucy is on her way home in her car. She has driven 22 miles so far, which is one-half of the way home. What is the total length

Ket [755]

Answer:

44

Step-by-step explanation:

if 22 miles = 1/2

then, 22 times 2 = 44 miles

ANSWER= 44 miles

5 0

3 years ago

What are the values of mode and median in the following set of numbers? 1,3,3,6,6,5,4,3,1,1,2 Mode: 1, 2, Median: 2 Mode: 1,3, M

AURORKA [14]

<h3><u>given</u><u>:</u></h3>

<u> $1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2$ </u>

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the mode and median of the given numbers set.

<h3><u>solution</u><u>:</u></h3><h3><u>mode</u><u>:</u></h3>

the most frequently occurred number.

$mode = 1 \: and \: 3$

<h3><u>median</u><u>:</u></h3>

first arrange all the numbers in either decending or ascending order, then find the number in the middle.

$1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6$

$median = 3$

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>median</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>following</u><u> </u><u>data</u><u> </u><u>set</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>and</u><u> </u><u>the</u><u> </u><u>mode</u><u> </u><u>is</u><u> </u><u>1</u><u> </u><u>and</u><u> </u><u>3</u>

8 0

2 years ago

Whats the Diameter? I really need help understanding this

Arada [10]

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

<u>1) Determine the radius of the base</u>

$V=\frac{1}{3} \pi r^2h$ where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

$3.6=\frac{1}{3} \pi r^2(4.2)$

Isolate r; divide both sides by 4.2

$\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2$

Multiply both sides by 3

$\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2$

Divide both sides by π

$\frac{18}{7\pi }=r^2$

Take the square root of both sides

$\sqrt{\frac{18}{7\pi }} =r$

<u>2) Determine the diameter</u>

Now that we have the radius, to find the diameter, multiply r by 2:

$d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8$

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

3 0

3 years ago

Read 2 more answers

What is the domain of y = √x^2-1?

andriy [413]

X can be -1 or 1 for the square root to be 0

The correct option is a

7 0

3 years ago

Read 2 more answers