Step-by-step explanation:
Let the original speed of the train be x km/h.
Time taken to cover a distance of 360 km = 360/x hours.
New speed of the train = (x+5) km/h.
Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.
Since, the train takes 1 hour less time,
∴360/x - 360/ x+5 = 1
⇒360 (5) = x² + 5x
⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x = (-45), 40
But since speed cannot be in negative.
∴x = 40 km/hr.
Hence, the original speed of the train is 40 km/h.
Answer:
x = 15°
Step-by-step explanation:
The secant- tangent angle x is half the difference of the intercepted arcs, that is
x = 
(80 - 50)° = 0.5 × 30° = 15°
3 9/100 = 3 + 9/100
= 3/1 + 9/100
= (3/1 * 100/100) + 9/100
= 300/100 + 9/100
= 309/100
= 309 ÷ 100 = 3.09
Answer:
be happy
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
2x = 4
( divide both sides by 2 )
x = 2
