Adv
  1. Let the speed of the train be x km/h and the time has taken be y h. The total distance is then xy km. Case1: Speed increases by 10 km/h and the time taken reduces by 2 hours. The distance traveled remains xy km. (x+10)(y−2)=xy Therefore, xy−2x+10y−20=xy ⇒−2x+10y−20=0 ⇒−2x+10y=20 ---------- (1) CaseRead more

    Let the speed of the train be x km/h and the time has taken be y h.
    The total distance is then xy km.
    Case1:
    Speed increases by 10 km/h and the time taken reduces by 2 hours.

    The distance traveled remains xy km.
    (x+10)(y2)=xy
    Therefore, xy2x+10y20=xy
    2x+10y20=0
    2x+10y=20 ———- (1)
    Case 2:
    Speed decreases by 10 km/h, then the time taken increases by 3 hours.
    However, the distance remains,xy km.
    (x10)(y+3)=xy
    Therefore, xy+3x10y30=xy
    3x10y30=0
    3x10y=30 ———- (2)
    x=50 km/h
    Using this in (2), we get
    15010y=30
    y=12
    Therefore, the distance is 50×12=600 km

    See less
    • 0
  2. ​ The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.

    1. The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.
    See less
    • 0
  3. The distance between the two points can be measured using the Distance Formula which is distance formula = √ [(x₂ - x₁)2 + (y₂ - y₁)2] Let the points be A(0, 0) and B(36, 15) Hence, x₁ = 0, y₁ = 0, x₂ = 36, y₂ = 15 We know that the distance between the two points is given by the Distance Formula, =Read more

    The distance between the two points can be measured using the Distance Formula which is distance formula

    = √ [(x₂ – x₁)2 + (y₂ – y₁)2]

    Let the points be A(0, 0) and B(36, 15)

    Hence, x₁ = 0, y₁ = 0, x₂ = 36, y₂ = 15

    We know that the distance between the two points is given by the Distance Formula,

    = √ [(x₂ – x₁)2 + (y₂ – y₁)2]….(1)

    = √ (36 – 0)2 + 15 – 0)2

    = √ [(1296) + (225)]

    = √1521

    = 39

    Yes, it is possible to find the distance between the given towns A and B.

    The positions of towns A & B are given by (0, 0) and (36, 15), hence, as calculated above, the distance between town A and B will be 39km

    See less
    • 0
  4. Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°) Arc Length Formula (if θ is in radians) s = ϴ × r

    Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)
    Arc Length Formula (if θ is in radians) s = ϴ × r
    See less
    • 0