The two planes are flying on the two legs of a right triangle. The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours. Call the time 'H' that we're looking for. It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north. After 'H' hours, the second plane has gone 1200H miles east. After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
x 2 = 50 0 2 + 120 0 2 x 2 = 250000 + 1440000 ⇒ x 2 = 1690000 ⇒ x = 1300 [ m p h ] t h e d i s t an ce = 650 mi l es t h e s p ee d = t h e t im e t h e d i s t an ce ⇒ 1300 [ m p h ] = t h e t im e 650 [ mi l es ] t h e t im e = 1300 650 [ h r ] = 0.5 [ h r ] = 30 [ min ] A n s . a f t er 30 min u t es .
The two planes will be 650 miles apart after 30 minutes. This is determined using the Pythagorean theorem, where the distances traveled by each plane form the legs of a right triangle. After solving for the time variable, we find it to be 0.5 hours, or 30 minutes.
;
DiketahuiSisi kubus 4cmDitanyaVolumeDijawabVolume[tex] = {v}^{3} = {4}^{3} = 4 \times 4 \times 4 = 64[/tex]KesimpulanMaka jawabannya 64cm3