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REY [17]
3 years ago
6

Which of the following is not a subset of {1, 2, 3}? {0} {1, 2, 3} Ø

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

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All corresponding sides are proportional (same ratio) in similar figures. True or False
kipiarov [429]

Answer:

True

Step-by-step explanation:

The corresponding sides are proportional if they have the same ratio. The statement is true.

7 0
3 years ago
Read 2 more answers
Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items wit
IceJOKER [234]

Answer:

The net pay of the Raquel be $601 .

Step-by-step explanation:

As given

Raquel has gross pay of $732 and federal tax withholdings of $62.

Social Security tax that is 6.2% of her gross pay .

6.2% is written in the decimal form.

= \frac{6.2}{100}

= 0.062

Social Security tax = 0.062 × Gross pay

                              = 0.062 × 732

                               = $ 45.38 (Approx)

As given

Medicare tax that is 1.45% of her gross pay .

1.45% is written in the decimal form.

= \frac{1.45}{100}

= 0.0145

Medicare Tax = 0.0145 × Gross pay

                       = 0.0145 × 732

                       = $ 10.6 (Approx)

As given

State tax that is 21% of her federal tax.

21% is written in the decimal form.

= \frac{21}{100}

= 0.21

State tax = 0.21 × Federal tax

              = 0.21 × 62

              = $13.02

Total amount of the tax = Federal tax + Social Security tax + Medicare Tax + State tax

Putting all the values in the above

                                      = $62 + $45.38 +$10.6 + $13.02

                                      = $ 131

Raquel’s net pay = Gross pay - Total amount of taxes

                             = $732 - $131

                             = $ 601

Therefore the net pay of the Raquel be $601 .

3 0
3 years ago
Read 2 more answers
Help Anyone??<br> need it asap<br> 7th grade math<br> tysm
Bezzdna [24]

Answer:

66?

Step-by-step explanation:

1:12 x5.5 on both sides

5.5:66

7 0
3 years ago
What is the Factored form of polynominal x^2-12x+27
valkas [14]

the answer is (x−3)(x−9)

6 0
3 years ago
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10
lianna [129]

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

  • Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.

Now, Let The Coordinates of Point C are C( x , y ) .

  • Thus, C( x , y ) =  \frac{(8+2)}{2} , \frac{(1+3)}{2}

        The Coordinates of Point C are C( x , y ) =  \frac{(10)}{2} , \frac{(4)}{2} ⇒C(5, 2).

  • And, The slope of AB = \frac{(1-3)}{(8-2)} ⇒ \frac{-2}{6} ⇔ \frac{-1}{3} .

       Thus, The slope of CD is \frac{-1}{The slope of AB}  =  \frac{-1}{\frac{-1}{3} }  ⇔  3.

  • Let the coordinate of D be (a, b) then

       ⇒ √{ (b - 2)² +(a - 5)² } = √10

      on squaring both sides we get,

       ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

       ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

  • We Know, the slope of CD = 3

     ⇒Thus,  (b - 2)/(a - 5) = 3

     ⇒ b - 2 = 3a - 15

     ⇒ b = 3a - 13 ⇔⇔ (Equation 2)

  • Putting value of Equation 2 into Equation 1, We get

 ⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

 ⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

 ⇒10a² - 100a + 240 = 0

 ⇒a² - 10a + 24 = 0

 ⇒(a - 4)(a - 6) = 0

 ⇒a = 4 or a = 6

Now,

  • When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1
  • When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

8 0
3 years ago
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