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ZanzabumX [31]
3 years ago
12

How many of the integers between 29 and 990 divisible by 4

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
On the question in the photo it is 4: 30 40 50 and 60
castortr0y [4]3 years ago
3 0
The integers between 29 and 990 divizible by 4 are 29<4*k<990

990:4=247; r 2 => k≤247
29:4= 7; r 2  => k>7

29<4*k<990 = {8*4, 9*4, 10*4...247*4}={32,36,40...988}
How many?
(247-4)+1= 244

244 integers are between 29 and 990 divizible by 4

_______________________________________________
How many integers between 22 and 61 can be divided by 10 with remainder of zero?

22<k*10<61
22:10=2; r 2=>k>2
61:10=6; r 1 =>k≤6

The integers between 22 and 61 can be divided by 10 with remainder of zero = {3*10, 4*10, 5*10, 6*10} = {30, 40, 50, 60}


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<h3>How to solve trigonometric inequality?</h3>

We are given the trigonometric Inequality;

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Now, if we split up the solution domain into two intervals, we have;

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Read more about trigonometric inequality at; brainly.com/question/27862380

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