Sebastian went hiking near his house. The first trail he hiked on took him 4.5 miles away from his house. The second trail he hiked took him 2.4 miles closer to his house. The third trail he hiked took him 1.7 miles further away from his house. After Sebastian hiked the three trails, how far from his house was he?

First, plug the decimals into equation.

Sebastian went 4.5 miles away from his house, then 2.4 miles closer to his house. We can show this with the equation: 4.5 - 2.4

He then hiked 1.7 miles away from his house, so add 1.7 to the equation: 4.5 - 2.4 + 1.7.

Solve.

4.5 - 2.4 = 2.1

2.1 + 1.7 = 3.8

Sebastian hiked 3.8 miles away from his home in total.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm