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ELEN [110]
2 years ago
5

Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elemen

ts a; b such that a < b and b is a multiple of a.
Mathematics
1 answer:
Helga [31]2 years ago
6 0

Answer:

Minimum possible K = 307

Step-by-step explanation:

Attached below is the detailed solution

Given set { 1, 2 , .......... 2022 }

The largest subset will contain prime numbers because they are not multiples of any number but 1

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Step-by-step explanation:

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). If YU = YV, ST = 16, mQS = 34,<br><br> and mRT = 98°, find each measure.
77julia77 [94]

Answer:

QR=8

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Measure of arc QR=114°

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Step-by-step explanation:

Given that,

YU=YV

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mQS=34

mRT=98

We will use pythagoras theorem,

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QU=76

QR=ST

Since they span the same arc, let the arc be x.

360 - QS - RT = QR + ST

Recall that QR=ST

360 - 34 - 98 = x + x

228 = 2x

Divide both side by 2

X= 228/2

X=114°

Therefore, the measure of the arc ST and the arc QR=114°

Measure of span of arc XT will be:

= 1/2× (arc ST)

= 1/2 × 114

= 57°

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Step-by-step explanation:

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