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Tems11 [23]
3 years ago
7

Suppose the circumference of a circle is six pi what is its diameter❓

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Circumference = 2×pi×radius

6pi=2×pi×radius

6pi/pi=2radius

2radius=6

Since 2radius=diameter

Therefore diameter=6 units

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There are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3
tiny-mole [99]

Answer:

24, 414,720 or 5,391,360 depending on the level of precision you (or your teacher) want. :-)

Step-by-step explanation:

The best way to approach this problem is to do it in two phases.  First, consider the groups (and the top level permutations), then you consider the individuals (within the groups).  There's even a third level to consider, the starting position around the table.

Before going into the solution, let's do a little warm-up using the producers group of 3.  Since we talk about arranging the 13 people at the table (and not just the groups), the order of the individuals within a group is also important.  Just looking at the producers, how many ways can we sit them (among themselves)?  6 ways: {a,b,c} {a,c,b} {b,a,c} {b,c,a} {c,a,b} {c,b,a}

That is governed by the following formula, since we are taking ALL the possible elements (unlike a lottery draw for example): P(n) = n!

This solution, we'll need the following grouping possibilities:

P(1) = 1, P(3) = 6, P(4) = 24 and P(5)=120

Real solution starts here

First level

First, we have to see how many arrangements are possible based on the groups...how many ways can we sit the actors, the actresses, the producers and the director as groups?  There are 4 groups to consider, so the result for the groups arrangements is P(4) = 24 ways.

Second level

Now, for each of those 24 ways to arrange the groups, so they are sat together around the table) we also have to take into account the internal arrangements within each group... because as we've seen, there are 6 ways to sit the producers.

So, for the producers, we have P(3) = 6 as we've seen

For the actresses, we have P(4) = 24

For the actors, we have P(5) = 120

For the director group, we have P(1) = 1

So, for each of the 24 ways to arrange the sequence of groups, we also have 17,280 (6 * 24 * 120 * 1) ways to arrange people within the groups.

That makes a total of 24 * 17,280 = 414 720 ways to arrange the people around the table.... not taking into account the seat number.

Third level

If you want to take into account the fact that one of the 414 720 arrangements is different if the first person sits on the chair #1 than if it sits on chair #2 and so on... then we have to multiply these 414 720 arrangements by 13 to represent the various possible starting point for the arrangement.  For a grand total of 5 391 360

So, the answer is your choice, 24, 414,720 or 5,391,360 depending on the level of precision you (or your teacher) want. :-)

4 0
3 years ago
Read 2 more answers
4 less than the quantity of 8 times n
Nina [5.8K]
Okay, my prior answer got deleted for no work, apparently.
I'll re-post it though.

That word problem translates to:
8n -4=0 \\ +4 \\  \\ 8n=4 \\ /8 \\  \\ n=1/2
6 0
3 years ago
(X-3) (2x-3)= (x-3) (x+1) solve for x
yanalaym [24]

(x  - 3)(2x - 3) = (x - 3)(x + 1)

Do the multiplication both sides,

2 {x}^{2}  - 9x + 9 =  {x}^{2}  - 2x - 3

Arrange the terms to LHS according to their variables,

2 {x}^{2}  -  {x}^{2}  - 9x  +  2x + 9 - 3 = 0 \\  {x}^{2}  - 7x  + 6 = 0


Factorise this polynomial

{x}^{2}  - 6x - 6x + 6 = 0 \\ x(x - 6) - (x - 6) = 0 \\ (x - 1)(x - 6) = 0


So what we notice here is when you're multiplying two numbers you're getting 0 as answer.

So one of them must be 0.

If (x-1) is 0
then x = 1

similarly,

x-6=0

then, x= 6.


So the possible values of x are 1 and 6.
7 0
3 years ago
Read 2 more answers
Tickets to a basketball game vary in price. Adult tickets cost $5 and student cost $1. A total of $2,874 was collected from sell
faltersainse [42]

Answer:

Step-by-step explanation:

a= adult ticket

a= student ticket

5a+1s=2874

1a+1s=1246

Subtract the second equation from the first one

4a=1628

a=407

a+s=1246

407+s=1246

s=839

3 0
3 years ago
Read 2 more answers
mrs. Williams uses the following recipe for crispy rice treats. She decided to make 2/3 of the recipe. 2 cups of melted butter,
Ilya [14]
To find how much she needs of every ingredient, multiply every ingredient by 2/3.

Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
3 0
3 years ago
Read 2 more answers
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