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Mama L [17]
2 years ago
12

What is the total number of digits used when the first 2002 positive even integers are written?

Mathematics
1 answer:
Luda [366]2 years ago
7 0

The total number of digits used when the  first 2002 positive even integers are written is 4 digits

<h3>How to find the number of sequence?</h3>

Using arithmetic sequence,

nth term = a + (n - 1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

a = 2

d = 2

nth term = 2 + (2002 - 1)2

nth term = 2 + 4002

nth term = 4004

learn more on sequence here: brainly.com/question/15456604

#SPJ1

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
3 years ago
Quien quiere ser mi amigo por favor ?<br><br> Cuantos es 5+5
liubo4ka [24]
5+5= 10
por que 5 +5 es diez
7 0
3 years ago
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Please explain this answer ☹️
GuDViN [60]

Answer:

see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

cos45° = sin45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

Hence

12(cos315° + isin315°)

= 12(cos45° - isin45°)

= 12(\frac{\sqrt{2} }{2} - i \frac{\sqrt{2} }{2})

= 6\sqrt{2} - 6i \sqrt{2}

7 0
3 years ago
How do the expressions 72 / 9 and -72/ (-9) compare when they are evaluated?
Artemon [7]

Answer:

D

Step-by-step explanation:

72/9=8

-72/-9=8 because negative/negative=positive.

7 0
3 years ago
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Please help!!!!!!!!!!
Basile [38]

Answer:

1-c

2-b

3-a

Step-by-step explanation:

1. 7y=14

y=2

-7y=-14

y=2

so the equation has one solution

2. 0=0

so the equation has infinite solution

3. 0=2 false

so the equation has no solution

6 0
3 years ago
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