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kifflom [539]
3 years ago
10

Find the volume of the cylinder. Round your answer to the nearest tenth.

Mathematics
2 answers:
muminat3 years ago
7 0

Answer:

Step-by-step explanation:

we know  the volume of a cylinder = \pi r^{2} h

= 22/7* 15 * 15* 7

= 22*225

= 4950

Juliette [100K]3 years ago
4 0

Answer:

4948

Step-by-step explanation:

volme of a cylinder= πr^{2}×h

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Please help me solve this LCM​
hodyreva [135]

Note that

x^2 - y^2 = (x - y) (x + y)

and

x^2 + 2xy + y^2 = (x + y)^2

Then their LCM is \boxed{x + y}.

7 0
2 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
Bob harvested flour from 4 of his fields. From the first field, he harvested 13 ton of flour. The second field yielded 24 ton of
DIA [1.3K]
Bob harvested 65 tons total (13 + 24 + 14 + 14)
and as far as drawing a diagram I don't know what to tell you 

hope this helps
6 0
3 years ago
The ratio of boys to girls in class is 4 : 5 <br> What fraction of the class are boys
Sav [38]

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

6 0
3 years ago
Four days before the day after tomorrow is a Wednesday. What day of the week was it 13 days before yesterday?
olga_2 [115]
The way of the would be saturday
7 0
4 years ago
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