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Leto [7]
3 years ago
8

Use the rule to write the first five terms of the pattern.

Mathematics
2 answers:
Effectus [21]3 years ago
5 0
16, 21, 26, 31, 36
just add five to each previous number to make it easier :)
AlekseyPX3 years ago
4 0

Answer:

A =First term of the pattern = 11

To find the first five terms we have to use the rule which is

Add 10 to first term and then subtract 5 from it.Which is equivalent to

= A +10 -5

1. Second Term = 11 + 10 -5

  = 21 - 5

   =16

→Third term = 16 +10-5

        = 26 - 5

       = 21

→Fourth term : 21 + 10 - 5

     = 31 -5

      = 26

→Fifth term : 26 +10 -5

                = 36- 5

                = 31

→Sixth term:

=31 + 10- 5

= 41 -5

 = 36

So, the first five term apart from 11 is 16, 21,26,31,36 which is an Airthmetic progression.



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Of the cartons produced by a company, 8% have a puncture, 7% have a smashed corner, and 0.7% have both a puncture and a smashed
Viktor [21]

Answer:

The probability that a randomly selected carton has a puncture or a smashed corner is 0.143

Step-by-step explanation:

we know that P(A∪B) = P(A) + P(B) - P(A∩B).

    since given that P(A) = Probability of getting puncture = 0.08

                                P(B) = probability of getting smashed corner = 0.07

                       P(A∩B) = probability of getting both puncture and smashed corner = 0.007

                    P(A∪B) = probability of getting any of them

   so P(A∪B) = 0.08 + 0.07 -0.007 = O.143

5 0
3 years ago
What is the approximate value of k?
lesya692 [45]

Hello from MrBillDoesMath!

Answer:

5.06

Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2  =>

sin(120) =  k *  (  sin(20)/2) )                (multiply both sides by "k")

k = sin(120)/  (   sin(20)/2)                    (divide both sides by sin(20)/2)

k =  (0.866) /  ( 0.171) =  5.06


Regards,  

MrB

 P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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