Kyle divided 2 3 on his calculator and got .6667. where did the 7 come from? a. kyle made an error. b. the answer is exactly .6667. c. the calculator rounded the answer. d. the calculator truncated the answer.

The calculator rounded the answer.

The exact value of is , i.e. a zero followed by infinitely many 6s.

The calculator can store only 4 decimal digits, so it has to approximate the number. By doing so, it has to "choose" between 0.6666 and 0.6667.

Since the next digit is a 6, the approximation is 0.6667.

In fact, if you have to approximate with four decimal digits, you have to look at the fifth. If it is between 0 and 4, you use your fourth digit. For example, 0.35742 is approximated by 0.3574.

If instead the fifth digit is between 5 and 9, you raise the fourth digit by one: 0.57836 is approximated by 0.5784

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

(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