What is the 50th term in the arithmetic sequence -6,-1,4...?

1.9

2.14

3 19

4.24

5.29

6.34

7. 39

8.44

9.49

10.54

11.59

12.64

13.69,

14.74

15.,79

16.,84

17.,89

18.,94

19.99

20.,104

21.109

22.,114

23.,119,

24.124

25.,129

26.,134,

27.139

28. 144

29.,149,

30.154

31.,159,

32. 164,

33.169,

34.174

35.179,

36 184,

37 189

38 ,194

39 ,199

40 ,204

41 209

42 214

43 219

44 224

45 229

46 234

47 239

48 244

49 249

50 254

Step-by-step explanation:

Counting up by 5

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).