The power, P (watts), of a car engine is proportional to the square of its speed, s(m/s) When s= 30 P= 1500 Work out the speed (to 1 DP) when the power is 1715 watts

S = 32.1 m/s

Step-by-step explanation:

P = 1,500

S = 30

since P is proportional to S², then we must first determine S² = 900

900 / 1,500 = S² / 1,715

(900 x 1,715) / 1,500 = S²

1,543,500 / 1,500 = S²

S² = 1,029

S = √1,029 = 32.08 m/s ≈ 32.1 m/s

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c