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
Step-by-step explanation:
The first 9 (leftmost) has a value 100 times the value of the second 9 (rightmost).
The first 9 is in the 10,000s place and represents 90,000.
The second 9 is in the hundreds place and represents 900.
90,000 is one hundred times 900.
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Answer: 9.2•10^7 kilometers
Step-by-step explanation:
5.8•10^7=58,000,000
1.5•10^8=150,000,000
150,000,000-58,000,000=92,000,000
92,000,000=9.2•10^7