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Marrrta [24]
2 years ago
10

What is the least common multiple of 36, 35, and 11?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
6 0

Answer:

13,860

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 11 shows:

11 is prime.

Prime Factorization of 35 is:

5 x 7

Prime Factorization of 36 is:

2 x 2 x 3 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 5, 7, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 5 x 7 x 11 = 13860

LCM(11, 35, 36) = 13,860

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Calculate the area of the shaded region between the regular polygons. Round to the nearest hundredth.
wolverine [178]

Answer:

I hope I'll help you with this but I am not sure of it all...

The area of the shaded region is 46,77

Step-by-step explanation:

To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.

The formula to calculate the area of a hexagon is (3√3 s2)/ 2

(where s = one side of the hexagon)

if one side a the little white hexagon equals 6 ft;

3√3 6ft.2/2 = 18√3/2 = 9√3

now for the bigger hexagon where one side is 12 ft;

3√3 12 ft.2/2 = 72√3/2 = 36√3

now the area of the bigger one minus the area of the smaller one;

36√3 - 9√3 = 46,77

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2 years ago
I need help with these three.
lbvjy [14]
What are all the choices
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3 years ago
Evaluate each function at the given value using the Remainder Theorem.
belka [17]

Answer: C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video
ankoles [38]
Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54


Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
3 0
3 years ago
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even?
Murljashka [212]

Well I don't know !
Let's figure it out together.

Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .

Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.

Ways to make 9 :

3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4

Four ways to make 9.
____________________________

Ways to make an even number:

1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6

Eleven ways to make an even number.
_____________________

Total number of ways to succeed = (4 + 11) = 15 ways

So the probability of succeeding (rolling 9 or an even number)
is

               15 / 36  =  5 / 12  =  0.41666... =  (41 and 2/3) % .

8 0
3 years ago
Read 2 more answers
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