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diamong [38]
2 years ago
8

Find prime factorizations of 3,210 and 3,528. Show your work.

Mathematics
2 answers:
iragen [17]2 years ago
5 0
Find the prime factorization of 3210
3210 = 2 × 3 × 5 × 107

Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3

GCF = 6


ANSWER: 6
brilliants [131]2 years ago
4 0

9514 1404 393

Answer:

  3210 = 2·3·5·107

  3528 = 2³·3²·7²

Step-by-step explanation:

Divisibility rules help.

A number is divisible by 2 if it is even.

A number is divisible by 3 if the sum of digits is divisible by 3.

A number is divisible by 5 if it ends in 5 or 0.

A number is divisible by 7 if subtracting twice the 1s digit from the rest of the number results in a number divisible by 7.

<h3><u>3210</u></h3>

  Even, and ends in 0, so is divisible by 2·5

  3210/10 = 321

  Sum of digits is 6, so is divisible by 3

  321/3 = 107

  None of the divisibility rules applies, and √107 ≈ 10.3, so there are no prime factors of 107.

  3210 = 2·3·5·107

__

<h3><u>3528</u></h3>

  Ends in 2 digits divisible by 4, so is divisible by 4

  3528/4 = 882

  Even, so is divisible by 2

  882/2 = 441

  Sum of digits is 9, so is divisible by 9

  441/9 = 49

  This is recognizable as the square of 7.

  3528 = 2³·3²·7²

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brilliants [131]
The answer is C
call the length is a => the diagonal is a+1
11^2 + a^2=(a+1)^2
<=> 121 + a^2=a^2 + 2a +1
<=>120=2a
<=> a=60
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3 years ago
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Amiraneli [1.4K]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
Solve for y, show your steps<br><br><br>y = x(2y - 3)
Xelga [282]

Answer:

y=\frac{-3x}{-2x+1}

Step-by-step explanation:

3 0
3 years ago
Convert the complex number z = 4 - 10i from rectangular form to polar form.​
mrs_skeptik [129]

ANSWER

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

EXPLANATION

The polar form of a complex number ,

z = x + yi

is given by:

z = r( \cos( \theta)  + i \sin( \theta) )

where

r =  \sqrt{ {x}^{2} +  {y}^{2}  }

The given complex number is:

z = 4 - 10i

r =  \sqrt{ {4}^{2}  +  {( - 10)}^{2} }

r =  \sqrt{16  + 100}

r =  \sqrt{116}  = 2 \sqrt{29}

And

\theta=  \tan^{ - 1}(\frac{ y}{x} )

\theta=  \tan^{ - 1}(\frac{  - 10}{4} )

\theta=  292 \degree

Hence the polar form is :

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

6 0
3 years ago
Help asap please :(<br><br> Find the surface area of the composite figure.
Liono4ka [1.6K]

Answer:

136 in²

Step-by-step explanation:

8x2=16

6x2=12

6x2=12

6x2=12

10x2=20

10x2=20

10x2=20

8x2=16

2x2=4

2x2=4

136 in²

8 0
2 years ago
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