The next number in the series 13, 18, 16, 21, 19,

Answer with Step-by-step explanation:

We are given a series of numbers:

13, 18, 16, 21, 19,...

We have to find the next term of this series

This series can be viewed as two different series

13, 18, 16, 21, 19,...

One which are in bold letters and other whose terms are underlined

and the terms are alternately

The term of both the series are increasing by 3

i.e. 13+3=16    18+3=21

16+3=19          

The next term will be of underlined series

which will be 21+3=24

Hence, next term of the series is:

24

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47