Mr. carter owned a ranch with 7 1/4 acres. last year ,he bought 3 1/5 acres of land from his neighbor. then he sold 2 1/4 acres. how many acres does mr. carter own now?

a) 10 9/20 acres
b) 8 1/5 acres
c) 12 7/10 acres
d) 6 3/10 acres

B - 8 1/5 acres

Step-by-step explanation:

1. Subtract 7 1/4 - 2 1/14 (what he sold) = 5 acres

2. Add 5 + 3 1/5 (what he bought)  = 8 1/5 acres

(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

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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