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zvonat [6]
3 years ago
13

3. Simplify the square root. -{144}

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

12

Step-by-step explanation:

The number 144 can be factorized as = 2*2*2*2*3*3= (4^2)* (3^2)

Therefore, sqrt(144)= sqrt((4^2)* (3^2))= sqrt{(4*3)^2= sqrt{12^2}=12

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Thirteen people on a softball team show up for a game. a)How many ways are there to choose 10 players to take the field? b)How m
marishachu [46]

Answer:

a) 286

b) 1,037,836,800

c) 285

Step-by-step explanation:

a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

C(13,10)=\frac{13!}{(13-10)!10! } \\C(13,10)=\frac{13*12*11*10!}{(3*2*1)10! }\\C(13,10) = 286

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

P(13,10) = \frac{13!}{(13-10)!}\\P(13,10) = 13*12*11*10*9*8*7*6*5*4\\P(13,10) =1,037,836,800

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

P=286-1 =285

6 0
3 years ago
Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.
erastova [34]

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

3 0
3 years ago
Anne has 3 pairs of blue socks. If she randomly selects a pair of socks.what is the probability that it is a blue?
V125BC [204]

Answer:

I hate that clfufjwwjdkfkrifjeidoqodjfrjkejakxkdk

Step-by-step explanation:

5 0
3 years ago
first, measures the triangle's angles. They are all 60 degrees. Then, measures the sides. Side 1 is 6 cm long. Side 2 is also 6
jenyasd209 [6]

Answer:

The correct answer is 6 cm.

Step-by-step explanation:

The measure of all angles of the triangle is given to be 60 degrees. This invariably means we are talking about an equilateral triangle as all angles of an equilateral triangle are equal.

Also all sides of an equilateral triangle is known to be equal. Therefore the measure of all sides of the concerned triangle are equal.

Given the measure of two length of sides are 6 cm respectively.

Therefore the length of side 3 is 6 cm, equal to the other two sides.

6 0
4 years ago
-12divided by 3 help me plz
I am Lyosha [343]

Answer:

-4

Step-by-step explanation:

6 0
3 years ago
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