3x (x + 6) = 0 Solve:

given square RSTV, where RS= 9cm. If square RSTV is dialated by a scale factor of 3 about a given center, what is the perimeter,

Blababa [14]

Answer:

D: 108 cm

Step-by-step explanation:

Use your test-taking skill to eliminate the other answers. The perimeter of the given square is (9 cm)×4 = 36 cm. None of the other answers can possibly be correct for a square that is made larger by dilation.

_____

Every linear measure is increased by the dilation factor. If side lengths are multiplied by 3, then the perimeter is multiplied by 3.

... 3×36 cm = 108 cm

____

Another way to ge there is to realize the side length is multiplied by 3, so in the larger square is 3×9 cm = 27 cm. The perimeter is the the sum of the 4 equal sides, so is ...

... 4×27 cm = 108 cm

8 0

3 years ago

What's 1.6 rounded to the nearest tenth

dem82 [27]

Are there anymore numbers after the six? If there is not then it si already rounded to the nearest tenth.

7 0

4 years ago

Read 2 more answers

Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 9

sweet-ann [11.9K]

Answer: 1) 6300 ways

2) 2520 ways

3) 0.067

Step-by-step explanation:

For this problem, assume 9 males audition, one of them being Winston, 5 females audition, one of them being Julia, and 6 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available.

How many different ways can these roles be filled from these auditioners?

Available: 9M and 5F and 6C

Cast: 3M and 1F and 2C

As it is not ordered: C₉,₃ * C₅,₁ * C₆,₂

C₉,₃ = 9!/3!.6! = 84

C₅,₁ = 5!/1!.4! = 5

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₅,₁ * C₆,₂ = 84.5.15 = 6300

How many different ways can these roles be filled if exactly one of Winston and Julia gets a part?

2 options Winston gets or Julia gets it:

1) Winston gets it but Julia no:

8 male for 2 spots

4 females for 1 spot

6 children for 2 spots

C₈,₂ * C₄,₁ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₄,₁ = 4!/1!.3! = 4

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₄,₁ * C₆,₂ = 28.4.15 = 1680

2) Julia gets it but Winston does not

8 male for 3 spots

1 female for 1 spot

6 children for 2 spots

C₈,₃ * C₆,₂

C₈,₃ = 8!/3!.5! = 56

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₆,₂ = 56.15 = 840

1) or 2) = 1) + 2) = 1680 + 840 = 2520

What is the probability (if the roles are filled at random) of both Winston and Julia getting a part?

8 male for 2 spots

1 female for 1 spot

6 children for 2 spots

C₈,₂ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₆,₂ = 28.15 = 420

p = 420/6300 = 0.067

6 0

4 years ago

Let A = {1,5, 17,21} and B =

umka2103 [35]

sa may picture yong answer

Step-by-step explanation:

sana makatulong

7 0

2 years ago

What is the gcf of h4 and h8

Tamiku [17]

Answer: $GCF=h^4$

Step-by-step explanation:

You need to remember that:

1) The definition of Greatest common factor (GCF): This is the greatest factor that divides two numbers.

2) The Product of powers property states that:

$(a^m)(a^n)=a^{(m+n)}$

3) To find the Greatest common factor between two numbers, for example, you can descompose them into their prime factors and then choose the commons with the lowest exponent.

In this case, you have $h^4$ and $h^8$